Dr Gabriele Tartaglino-Mazzucchelli's research interests include topics in theoretical physics of fundamental interactions and mathematical physics like supersymmetry, supergravity and superspaces in various space-time dimensions, extended supersymmetry, covariant formulations of superstrings, complex geometry, quantum gravity, holography, (A)dS/CFT and integrability.
Since October 2019 Dr Tartaglino-Mazzucchelli has joined the School of Mathematics & Physics at the University of Queensland (UQ) as Senior Lecturer (Level C), Australian Research Council (ARC) Future Fellow.
Dr Tartaglino-Mazzucchelli's obtained his PhD at the University of Milano Bicocca in November 2006. After that, and before joining UQ, he has held several academic appointments and fellowships in Australia (UQ and The University of Western Australia), Belgium (KULeuven U.), Sweden (Uppsala U.), Switzerland (Bern U.), and the USA (Maryland U.).
So far in his career, Dr Tartaglino-Mazzucchelli's successfully attracted competitive research grants and awards for approximatively two million Australian dollars including, among other grants, a Marie Curie fellowship, an ARC DECRA award, and an ARC Future Fellowship – some of the most prestigious fellowships available to early and middle career researchers in Europe and Australia.
Dr Gabriele Tartaglino-Mazzucchelli is an international expert on supersymmetry and supergravity who obtained in the last fifteen years recognised results in the development of mathematical formalisms to treat supersymmetry in a manifest way. His research aims at a fundamental mathematical treatment of supersymmetric models analogously to how tensor calculus, and the field of differential geometry, have been at the basis of the formulation of General Relativity. In the broad aim of research in string theory and related topics, he also worked on holographic dualities and integrability within the AdS/CFT correspondence.
Journal Article: Symmetries of N = (1,0) supergravity backgrounds in six dimensions
Kuzenko, Sergei M., Lindstrom, Ulf, Raptakis, Emmanouil S. N. and Tartaglino-Mazzucchelli, Gabriele (2021). Symmetries of N = (1,0) supergravity backgrounds in six dimensions. Journal of High Energy Physics, 2021 (3) 157. doi: 10.1007/jhep03(2021)157
Journal Article: Magnetic deformation of super-Maxwell theory in supergravity
Antoniadis, Ignatios, Derendinger, Jean-Pierre, Jiang, Hongliang and Tartaglino-Mazzucchelli, Gabriele (2020). Magnetic deformation of super-Maxwell theory in supergravity. Journal of High Energy Physics, 2020 (8) 79. doi: 10.1007/jhep08(2020)079
Journal Article: Supersymmetric J T¯ and T J¯ deformations
Jiang, Hongliang and Tartaglino-Mazzucchelli, Gabriele (2020). Supersymmetric J T¯ and T J¯ deformations. Journal of High Energy Physics, 2020 (5) 140. doi: 10.1007/JHEP05(2020)140
Supersymmetry and Supergravity: New Approaches and Applications
(2019–2023) ARC Future Fellowships
Supersymmetric field theories on curved backgrounds and applications
During the last four decades, supersymmetry has been at the forefront of theoretical and mathematical physics of fundamental interactions. It played a crucial role in constructing models aimed at the unification of all forces including quantum gravity, namely string theory. Supersymmetry has also led to several new developments in mathematical physics such as, for example, the study of conformal field theories (that play a fundamental role in string theory and in the description of phase transitions in statistical mechanics) and integrable systems.
The analysis of supersymmetric theories on curved backgrounds has made possible the exact computation of several important observables. For instance, quantum computations in (super)conformal field theories on a conformally flat background, can be extrapolated from the curved to the flat space limit. For rigid supersymmetric field theories on curved spacetimes localisation techniques (which can reduce an infinite dimensional path integral to a fine dimensional one) allow one to compute quantum observables, such as the partition function, indices, correlators or Wilson loops exactly. Remarkably, localisation has been developed also for calculations in supergravity theories and evaluation of the quantum entropy of black holes. One crucial requirement of localisation is that SUSY has to close off-shell. This leads to the natural use of covariant off-shell (superspace) techniques.
In quantum field theories, correlation functions may contain singularities at coincident points, the so-called contact terms. They arise as higher-derivative terms in quantum effective actions on some supersymmetric gravity and gauge multiplet backgrounds. For correlation functions of symmetry currents, contact terms can lead to so-called anomalies. These manifest the breakdown of a symmetry due to short distance quantum effects. Anomalies have had a predominant role in the non-perturbative study of quantum field theory and string theory and relate to the Atiyah-Singer index theory in mathematics. In supersymmetric theories, anomalies lie in supermultiplets. Despite their importance, for general supersymmetry and spacetimes, the structure of higher-derivative invariants associated to contact terms and anomalies is not understood. These find important applications in the study supersymmetric quantum field theories, holographic correspondences between gauge and quantum gravity and related topics.
This project aims at: i) classifying general off-shell supersymmetric curved backgrounds by mean of new mathematical techniques; ii) studying supersymmetric and superconformal field theories on curved manifolds and their applications to holographic correspondences; iii) classify the structure of supersymmetric anomalies in generality.
This project will support the research of the ARC Future Fellowship of Dr. Gabriele Tartaglino Mazzucchelli “Supersymmetry and Supergravity: New Approaches and Applications.” The student will largely benefit from a vibrant international collaboration on supersymmetry and related topics.
Supersymmetry, Supergravity and String inspired models of Cosmology
During the last four decades, supersymmetry has been at the forefront of research in theoretical and mathematical physics of fundamental interactions. It played a crucial role in constructing models aimed at the unification of all forces including quantum gravity, namely string theory. As such, an active area of research is attempting to reconcile string theory with observed cosmology. Supersymmetry has also led to several new developments in mathematical physics.
Supergravity arises as the low-energy limit of string theory. Higher-order deformations of gravity give alternative descriptions of dark energy or dark matter and have recently become prominent in inflationary models; see for example the Starobinsky model. It has been recently shown that various higher-derivative supergravities lead to spontaneously broken supersymmetry and a dynamically generated positive cosmological constant. On one hand, this raised a renewed interest in extended supergravity models possessing de-Sitter (expanding universe) solutions in various dimensions. On the other hand, it remains an open question, and a subject of active debate in the string theory community, to understand whether these models are only effective theories or can be embedded in a consistent theory of quantum gravity.
Another breakthrough of the last two decades in research in string theory has been the discovery of holographic correspondences. These are theoretical tools connecting (D+1)-dimensional theories of (quantum) gravity to D-dimensional Quantum Field Theories (QFTs). The term holography is used in analogy to 2D holograms that can encode information about 3D objects. The best-established holographic conjectures involve supersymmetric theories. Several attempts to describe cosmological models by using holography have also been made.
This project aims at tackling open questions of string inspired cosmological models. A mathematical characterization of supergravity theories with spontaneously broken supersymmetry will be completed as a step towards understanding whether a positive cosmological constant and de-Sitter solutions can be consistent in string theory or different cosmological scenarios need to be found. Moreover, the project will explore also more exotic, but potentially revolutionary, holographic approaches to quantum cosmology.
Solvable supersymmetric field theories, string theory and AdS/CFT
During the last four decades, supersymmetry has been at the forefront of theoretical and mathematical physics of fundamental interactions. It played a crucial role in constructing models aimed at the unification of all forces including quantum gravity, namely string theory. Supersymmetry has also led to several new developments in mathematical physics such as, for example, the study of conformal field theories (that play a fundamental role in string theory and in the description of phase transitions in statistical mechanics) and integrable systems.
Supersymmetric quantum field theories in different space-time dimensions have been a fruitful ground of research to construct solvable models that shed new light on the dynamics of strongly coupled systems (such as the confinement of gauge theories), and our mathematical understanding of the physics of fundamental interactions. Some of the most impressive examples appeared in the last two decades in the context of the holographic AdS/CFT correspondences where integrability techniques, originally developed in statistical mechanics, started to play a crucial role in solving string theory models of quantum gravity. Holographic correspondences are theoretical tools connecting (D+1)-dimensional theories of (quantum) gravity to D-dimensional Quantum Field Theories (QFTs). The term holography is used in analogy to 2D holograms that can encode information about 3D objects. The best established holographic conjectures involve supersymmetric theories.
This project aims at expanding our knowledge of solvable/integrable quantum field and string theories by exploiting the technical advantages existing in supersymmetric theories and their deformations.
We will investigate deformations of integrable QFTs as a means of constructing new solvable models. Part of the project will look at a particular class of deformations, the so-called TTbar deformations, introduced by Zamolodchikov in 2004 for 2D QFTs. These deformations have received much attention in the high-energy theoretical physics community in the last few of years due to their application to the study of the AdS/CFT correspondence and for their impact in the field of 2D integrable QFTs. Extended also to dimensions higher than two, these deformations are starting to give new perspectives in understanding higher-derivative effective theories that arise in string theory and holographic correspondences where the energy spectrum can be solved exactly. Their extension to the supersymmetric case has been developed by Dr Tartaglino-Mazzucchelli, the Principal Advisor for this project, and his collaborators in a series of papers in 2018-2019. We plan to extend these results and develop a systematic understanding of supersymmetric TTbar deformations and their application to the AdS/CFT correspondence. We will then apply our findings to answer questions in these fields, including the detailed analysis of the spectrum and correlation functions of models on both sides of these correspondences.
This cutting-edge interdisciplinary research project will connect the very strong Australian mathematical physics community working on integrable systems with the research in theoretical physics that has characterized an international effort to construct a consistent unified theory of all fundamental interactions. This novel research synergy will enhance UQ’ and Australia’s position in mathematical and theoretical physics.
Symmetries of N = (1,0) supergravity backgrounds in six dimensions
Kuzenko, Sergei M., Lindstrom, Ulf, Raptakis, Emmanouil S. N. and Tartaglino-Mazzucchelli, Gabriele (2021). Symmetries of N = (1,0) supergravity backgrounds in six dimensions. Journal of High Energy Physics, 2021 (3) 157. doi: 10.1007/jhep03(2021)157
Magnetic deformation of super-Maxwell theory in supergravity
Antoniadis, Ignatios, Derendinger, Jean-Pierre, Jiang, Hongliang and Tartaglino-Mazzucchelli, Gabriele (2020). Magnetic deformation of super-Maxwell theory in supergravity. Journal of High Energy Physics, 2020 (8) 79. doi: 10.1007/jhep08(2020)079
Supersymmetric J T¯ and T J¯ deformations
Jiang, Hongliang and Tartaglino-Mazzucchelli, Gabriele (2020). Supersymmetric J T¯ and T J¯ deformations. Journal of High Energy Physics, 2020 (5) 140. doi: 10.1007/JHEP05(2020)140
Non-linear supersymmetry and T T¯-like flows
Ferko, Christian, Jiang, Hongliang, Sethi, Savdeep and Tartaglino-Mazzucchelli, Gabriele (2020). Non-linear supersymmetry and T T¯-like flows. Journal of High Energy Physics, 2020 (2) 16. doi: 10.1007/jhep02(2020)016
TT¯ flows and (2, 2) supersymmetry
Chang, Chih-Kai, Ferko, Christian, Sethi, Savdeep, Sfondrini, Alessandro and Tartaglino-Mazzucchelli, Gabriele (2020). TT¯ flows and (2, 2) supersymmetry. Physical Review D, 101 (2) 026008. doi: 10.1103/physrevd.101.026008
Spinors in supersymmetric dS/CFT
Hertog, Thomas, Tartaglino-Mazzucchelli, Gabriele and Venken, Gerben (2019). Spinors in supersymmetric dS/CFT. Journal of High Energy Physics, 2019 (10) 117. doi: 10.1007/jhep10(2019)117
T(T)over-bar deformations with N = (0,2) supersymmetry
Jiang, Hongliang, Sfondrini, Alessandro and Tartaglino-Mazzucchelli, Gabriele (2019). T(T)over-bar deformations with N = (0,2) supersymmetry. Physical Review D, 100 (4) 046017. doi: 10.1103/physrevd.100.046017
New Fayet-Iliopoulos terms in N= 2 supergravity
Antoniadis, Ignatios, Derendinger, Jean-Pierre, Farakos, Fotis and Tartaglino-Mazzucchelli, Gabriele (2019). New Fayet-Iliopoulos terms in N= 2 supergravity. Journal of High Energy Physics, 2019 (7) 61. doi: 10.1007/JHEP07(2019)061
On TT¯ deformations and supersymmetry
Baggio, Marco, Sfondrini, Alessandro, Tartaglino-Mazzucchelli, Gabriele and Walsh, Harriet (2019). On TT¯ deformations and supersymmetry. Journal of High Energy Physics, 2019 (6) 63. doi: 10.1007/JHEP06(2019)063
Curvature squared invariants in six-dimensional N = (1, 0) supergravity
Butter, Daniel, Novak, Joseph, Ozkan, Mehmet, Pang, Yi and Tartaglino-Mazzucchelli, Gabriele (2019). Curvature squared invariants in six-dimensional N = (1, 0) supergravity. Journal of High Energy Physics, 2019 (4) 13. doi: 10.1007/JHEP04(2019)013
Partial N = 2 supersymmetry breaking and deformed hypermultiplets
Farakos, Fotis, Kočí, Pavel, Tartaglino-Mazzucchelli, Gabriele and von Unge, Rikard (2019). Partial N = 2 supersymmetry breaking and deformed hypermultiplets. Journal of High Energy Physics, 2019 (3) 37. doi: 10.1007/jhep03(2019)037
The 6D Gauss-Bonnet supergravity invariant
Tartaglino-Mazzucchelli, Gabriele (2018). The 6D Gauss-Bonnet supergravity invariant. Physics of Particles and Nuclei, 49 (5), 884-889. doi: 10.1134/s1063779618050386
Hertog, Thomas, Tartaglino-Mazzucchelli, Gabriele, Van Riet, Thomas and Venken, Gerben (2018). Supersymmetric dS/CFT. Journal of High Energy Physics, 2018 (2) 24. doi: 10.1007/jhep02(2018)024
Kuzenko, Sergei M. and Tartaglino-Mazzucchelli, Gabriele (2018). New nilpotent N=2 superfields. Physical Review D, 97 (2) 026003. doi: 10.1103/physrevd.97.026003
Two-form supergravity, superstring couplings, and Goldstino superfields in three dimensions
Buchbinder, Evgeny I., Hutomo, Jessica, Kuzenko, Sergei M. and Tartaglino-Mazzucchelli, Gabriele (2017). Two-form supergravity, superstring couplings, and Goldstino superfields in three dimensions. Physical Review D, 96 (12) 126015. doi: 10.1103/physrevd.96.126015
Complex three-form supergravity and membranes
Kuzenko, Sergei M. and Tartaglino-Mazzucchelli, Gabriele (2017). Complex three-form supergravity and membranes. Journal of High Energy Physics, 2017 (12) 5. doi: 10.1007/jhep12(2017)005
Gauss-Bonnet supergravity in six dimensions
Novak, Joseph, Ozkan, Mehmet, Pang, Yi and Tartaglino-Mazzucchelli, Gabriele (2017). Gauss-Bonnet supergravity in six dimensions. Physical Review Letters, 119 (11) 111602. doi: 10.1103/physrevlett.119.111602
Goldstino superfields in N= 2 supergravity
Kuzenko, Sergei M., McArthur, Ian N. and Tartaglino-Mazzucchelli, Gabriele (2017). Goldstino superfields in N= 2 supergravity. Journal of High Energy Physics, 2017 (5) 61. doi: 10.1007/jhep05(2017)061
The component structure of conformal supergravity invariants in six dimensions
Butter, Daniel, Novak, Joseph and Tartaglino-Mazzucchelli, Gabriele (2017). The component structure of conformal supergravity invariants in six dimensions. Journal of High Energy Physics, 2017 (5) 133. doi: 10.1007/jhep05(2017)133
Nilpotent chiral superfield in N = 2 supergravity and partial rigid supersymmetry breaking
Kuzenko, Sergei M. and Tartaglino-Mazzucchelli, Gabriele (2016). Nilpotent chiral superfield in N = 2 supergravity and partial rigid supersymmetry breaking. Journal of High Energy Physics, 2016 (3) 92. doi: 10.1007/jhep03(2016)092
Higher derivative couplings and massive supergravity in three dimensions
Kuzenko, Sergei M., Novak, Joseph and Tartaglino-Mazzucchelli, Gabriele (2015). Higher derivative couplings and massive supergravity in three dimensions. Journal of High Energy Physics, 2015 (9) 81. doi: 10.1007/jhep09(2015)081
Conformal supergravity in five dimensions: new approach and applications
Butter, Daniel, Kuzenko, Sergei M., Novak, Joseph and Tartaglino-Mazzucchelli, Gabriele (2015). Conformal supergravity in five dimensions: new approach and applications. Journal of High Energy Physics, 2015 (2) 111. doi: 10.1007/jhep02(2015)111
New Approach to N - Extended Conformal Supergravity in Three Dimensions
Butter, D., Kuzenko, S. M., Novak, J. and Tartaglino-Mazzucchelli, G. (2014). New Approach to N - Extended Conformal Supergravity in Three Dimensions. Physics of Particles and Nuclei Letters, 11 (7), 880-885. doi: 10.1134/s1547477114070097
Off-Shell Actions for Conformal Supergravity in Three Dimensions
Butter, D., Kuzenko, S. M., Novak, J. and Tartaglino-Mazzucchelli, G. (2014). Off-Shell Actions for Conformal Supergravity in Three Dimensions. Physics of Particles and Nuclei Letters, 11 (7), 927-932. doi: 10.1134/s1547477114070085
Symmetries of curved superspace in five dimensions
Kuzenko, Sergei M., Novak, Joseph and Tartaglino-Mazzucchelli, Gabriele (2014). Symmetries of curved superspace in five dimensions. Journal of High Energy Physics, 2014 (10) 175. doi: 10.1007/jhep10(2014)175
Three-dimensional N=2 supergravity theories: From superspace to components
Kuzenko, Sergei M., Lindstrom, Ulf, Rocek, Martin, Sachs, Ivo and Tartaglino-Mazzucchelli, Gabriele (2014). Three-dimensional N=2 supergravity theories: From superspace to components. Physical Review D, 89 (8) 085028. doi: 10.1103/physrevd.89.085028
N = 4 supersymmetric Yang-Mills theories in AdS3
Kuzenko, Sergei M. and Tartaglino-Mazzucchelli, Gabriele (2014). N = 4 supersymmetric Yang-Mills theories in AdS3. Journal of High Energy Physics, 2014 (5) 018. doi: 10.1007/jhep05(2014)018
N = 6 superconformal gravity in three dimensions from superspace
Kuzenko, Sergei M., Novak, Joseph and Tartaglino-Mazzucchelli, Gabriele (2014). N = 6 superconformal gravity in three dimensions from superspace. Journal of High Energy Physics, 2014 (1) 121. doi: 10.1007/jhep01(2014)121
Conformal supergravity in three dimensions: Off-shell actions
Butter, Daniel, Kuzenko, Sergei M., Novak, Joseph and Tartaglino-Mazzucchelli, Gabriele (2013). Conformal supergravity in three dimensions: Off-shell actions. Journal of High Energy Physics, 2013 (10) 73. doi: 10.1007/jhep10(2013)073
Conformal supergravity in three dimensions: New off-shell formulation
Butter, Daniel, Kuzenko, Sergei M., Novak, Joseph and Tartaglino-Mazzucchelli, Gabriele (2013). Conformal supergravity in three dimensions: New off-shell formulation. Journal of High Energy Physics, 2013 (9) 072. doi: 10.1007/jhep09(2013)072
Nonlinear sigma models with AdS supersymmetry in three dimensions
Butter, Daniel, Kuzenko, Sergei M. and Tartaglino-Mazzucchelli, Gabriele (2013). Nonlinear sigma models with AdS supersymmetry in three dimensions. Journal of High Energy Physics, 2013 (2) 121, 1-90. doi: 10.1007/jhep02(2013)121
Conformal supergravities as Chern-Simons theories revisited
Kuzenko, Sergei M. and Tartaglino-Mazzucchelli, Gabriele (2013). Conformal supergravities as Chern-Simons theories revisited. Journal of High Energy Physics, 2013 (3) 113. doi: 10.1007/jhep03(2013)113
Topics in 3D = 2 AdS supergravity in superspace
Tartaglino-Mazzucchelli, Gabriele (2012). Topics in 3D = 2 AdS supergravity in superspace. Fortschritte der Physik, 60 (9-10), 1105-1111. doi: 10.1002/prop.201200027
Six-dimensional supergravity and projective superfields
Linch III, William D. and Tartaglino-Mazzucchelli, Gabriele (2012). Six-dimensional supergravity and projective superfields. Journal of High Energy Physics, 2012 (8) 075. doi: 10.1007/jhep08(2012)075
Three-dimensional (p, q) AdS superspaces and matter couplings
Kuzenko, Sergei M., Lindström, Ulf and Tartaglino-Mazzucchelli, Gabriele (2012). Three-dimensional (p, q) AdS superspaces and matter couplings. Journal of High Energy Physics, 2012 (8) 024. doi: 10.1007/jhep08(2012)024
Extended supersymmetric sigma models in AdS 4 from projective superspace
Butter, Daniel, Kuzenko, Sergei M., Lindström, Ulf and Tartaglino-Mazzucchelli, Gabriele (2012). Extended supersymmetric sigma models in AdS 4 from projective superspace. Journal of High Energy Physics, 2012 (5) 138. doi: 10.1007/jhep05(2012)138
Three-dimensional N = 2 (AdS) supergravity and associated supercurrents
Kuzenko, Sergei M. and Tartaglino-Mazzucchelli, Gabriele (2011). Three-dimensional N = 2 (AdS) supergravity and associated supercurrents. Journal of High Energy Physics, 2011 (12) 052 doi: 10.1007/jhep12(2011)052
Off-shell superconformal nonlinear sigma-models in three dimensions
Kuzenko, Sergei M., Park, Jeong-Hyuck, Tartaglino-Mazzucchelli, Gabriele and Unge, Rikard Von (2011). Off-shell superconformal nonlinear sigma-models in three dimensions. Journal of High Energy Physics, 2011 (1) 146 doi: 10.1007/jhep01(2011)146
Off-shell supergravity-matter couplings in three dimensions
Kuzenko, Sergei M., Lindström, Ulf and Tartaglino-Mazzucchelli, Gabriele (2011). Off-shell supergravity-matter couplings in three dimensions. Journal of High Energy Physics, 2011 (3) 120. doi: 10.1007/jhep03(2011)120
On 2D N = (4,4) Superspace Supergravity
Tartaglino-Mazzucchelli, Gabriele (2011). On 2D N = (4,4) Superspace Supergravity. Physics of Particles and Nuclei Letters, 8 (3), 251-261. doi: 10.1134/s1547477111030204
Superspace calculation of the four-loop spectrum in N = 6 supersymmetric Chern-Simons theories
Leoni, M., Mauri, A., Minahan, J. A., Ohlsson Sax, O., Santambrogio, A., Sieg, C. and Tartaglino-Mazzucchelli, G. (2010). Superspace calculation of the four-loop spectrum in N = 6 supersymmetric Chern-Simons theories. Journal of High Energy Physics, 2010 (12) 074 doi: 10.1007/jhep12(2010)074
2D N = (4, 4) superspace supergravity and bi-projective superfields
Tartaglino-Mazzucchelli, Gabriele (2010). 2D N = (4, 4) superspace supergravity and bi-projective superfields. Journal of High Energy Physics, 2010 (4) 034 doi: 10.1007/jhep04(2010)034
Ectoplasm and superspace integration measures for 2D supergravity with four spinorial supercurrents
Gates, S. James and Tartaglino-Mazzucchelli, Gabriele (2010). Ectoplasm and superspace integration measures for 2D supergravity with four spinorial supercurrents. Journal of Physics A-Mathematical and Theoretical, 43 (9) 095401, 095401. doi: 10.1088/1751-8113/43/9/095401
Chiral supergravity actions and superforms
Gates, S. J., Kuzenko, S. M. and Tartaglino-Mazzucchelli, G. (2009). Chiral supergravity actions and superforms. Physical Review D, 80 (12) 125015. doi: 10.1103/physrevd.80.125015
On conformal supergravity and projective superspace
Kuzenko, S. M., Lindstrom, U., Rocek, M. and Tartaglino-Mazzucchelli, G. (2009). On conformal supergravity and projective superspace. Journal of High Energy Physics, 2009 (8) 023. doi: 10.1088/1126-6708/2009/08/023
Different representations for the action principle in 4D N=2 supergravity
Kuzenko, Sergei M. and Tartaglino-Mazzucchelli, Gabriele (2009). Different representations for the action principle in 4D N=2 supergravity. Journal of High Energy Physics, 2009 (4) 007 doi: 10.1088/1126-6708/2009/04/007
Field theory in 4D N=2 conformally flat superspace
Kuzenko, Sergei M. and Tartaglino-Mazzucchelli, Gabriele (2008). Field theory in 4D N=2 conformally flat superspace. Journal of High Energy Physics, 2008 (10) 001 doi: 10.1088/1126-6708/2008/10/001
4D N=2 supergravity and projective superspace
Kuzenko, S. M., Lindstrom, U., Rocek, M. and Tartaglino-Mazzucchelli, G. (2008). 4D N=2 supergravity and projective superspace. Journal of High Energy Physics, 2008 (9) 051 doi: 10.1088/1126-6708/2008/09/051
Conformally flat supergeometry in five dimensions
Kuzenko, Sergei M. and Tartaglino-Mazzucchelli, Gabriele (2008). Conformally flat supergeometry in five dimensions. Journal of High Energy Physics, 2008 (6) 097. doi: 10.1088/1126-6708/2008/06/097
Super-Weyl invariance in 5D supergravity
Kuzenko, Sergei M. and Tartaglino-Mazzucchelli, Gabriele (2008). Super-Weyl invariance in 5D supergravity. Journal of High Energy Physics, 2008 (4) 032. doi: 10.1088/1126-6708/2008/04/032
Five-dimensional superfield supergravity
Kuzenko, Sergei M. and Tartaglino-Mazzucchelli, Gabriele (2008). Five-dimensional superfield supergravity. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 661 (1), 42-51. doi: 10.1016/j.physletb.2008.01.055
5D supergravity and projective superspace
Kuzenko, Sergei M. and Tartaglino-Mazzucchelli, Gabriele (2008). 5D supergravity and projective superspace. Journal of High Energy Physics, 2008 (2) 004. doi: 10.1088/1126-6708/2008/02/004
Five-dimensional N=1 AdS superspace: Geometry, off-shell multiplets and dynamics
Kuzenko, Sergei M. and Tartaglino-Mazzucchelli, Gabriele (2007). Five-dimensional N=1 AdS superspace: Geometry, off-shell multiplets and dynamics. Nuclear Physics B, 785 (1-2), 34-73. doi: 10.1016/j.nuclphysb.2007.06.014
New massive supergravity multiplets
Gates, S. James, Kuzenko, Sergei M. and Tartaglino-Mazzucchelli, Gabriele (2007). New massive supergravity multiplets. Journal of High Energy Physics, 2007 (2) 052. doi: 10.1088/1126-6708/2007/02/052
6D supersymmetric nonlinear sigma-models in 4D, N = 1 superspace
Gates Jr., S. James, Penati, Silvia and Tartaglino-Mazzucchelli, Gabriele (2006). 6D supersymmetric nonlinear sigma-models in 4D, N = 1 superspace. Journal of High Energy Physics, 2006 (9) 006. doi: 10.1088/1126-6708/2006/09/006
6D supersymmetry, projective superspace & 4D, N= 1 superfields
James Gates Jr., S., Penati, Silvia and Tartaglino-Mazzucchelli, Gabriele (2006). 6D supersymmetry, projective superspace & 4D, N= 1 superfields. Journal of High Energy Physics, 2006 (5) 051. doi: 10.1088/1126-6708/2006/05/051
On supersymmetry breaking and the Dijkgraaf-Vafa conjecture
Girardello, Luciano, Mariotti, Alberto and Tartaglino-Mazzucchelli, Gabriele (2006). On supersymmetry breaking and the Dijkgraaf-Vafa conjecture. Journal of High Energy Physics (3), 6497-6518. doi: 10.1088/1126-6708/2006/03/104
Quantization of N=1 chiral/nonminimal (CNM) scalar multiplets and supersymmetric Yang-Mills theories
Mazzucchelli, G. T. (2004). Quantization of N=1 chiral/nonminimal (CNM) scalar multiplets and supersymmetric Yang-Mills theories. Physics Letters B, 599 (3-4), 326-338. doi: 10.1016/j.physletb.2004.08.057
Component reduction and the superconformal gravity invariants
Novak, J. and Tartaglino-Mazzucchelli, G. (2018). Component reduction and the superconformal gravity invariants. 25th International Conference on Integrable Systems and Quantum Symmetries (ISQS), Prague, Czech Republic, 6-10 June 2017. Bristol, United Kingdom: IOP Publishing. doi: 10.1088/1742-6596/965/1/012045
On curvature squared invariants in 6D supergravity
Novak, J. and Tartaglino-Mazzucchelli, G. (2018). On curvature squared invariants in 6D supergravity. 25th International Conference on Integrable Systems and Quantum Symmetries (ISQS), Prague, Czech Republic, 6-10 June 2017. Bristol, United Kingdom: IOP Publishing. doi: 10.1088/1742-6596/965/1/012029
Extended supersymmetric sigma-models in 3D AdS
Tartaglino-Mazzucchelli, Gabriele (2013). Extended supersymmetric sigma-models in 3D AdS. Corfu Summer Institute 2012 (Corfu2012) - XVIII European Workshop on String Theory, Corfu, Greece, 8-27 September 2012. Trieste, Italy: Sissa Medialab. doi: 10.22323/1.177.0090
Wandering in five-dimensional curved superspace
Kuzenko, Sergei M. and Tartaglino-Mazzucchelli, Gabriele (2008). Wandering in five-dimensional curved superspace. 3rd RTN Workshop on Constituents, Fundamental Forces Symetries of the Universe, Valencia, Spain, 5 October 2007. Weinheim, Germany: Wiley - VCH. doi: 10.1002/prop.200810560
On 5D AdS SUSY and harmonic superspace
Kuzenko, Sergei and Tartaglino-Mazzucchelli, Gabriele (2007). On 5D AdS SUSY and harmonic superspace. In: Evgeny Ivanov and Sergey Fedoruk, 7th conference in the SQS series. 7th International Workshop on Supersymmetries and Quantum Symmetries (SQS'07), Dubna, Russia, (). 30 July-4 August 2007.
Supersymmetry and Supergravity: New Approaches and Applications
(2019–2023) ARC Future Fellowships
Note for students: The possible research projects listed on this page may not be comprehensive or up to date. Always feel free to contact the staff for more information, and also with your own research ideas.
Supersymmetric field theories on curved backgrounds and applications
During the last four decades, supersymmetry has been at the forefront of theoretical and mathematical physics of fundamental interactions. It played a crucial role in constructing models aimed at the unification of all forces including quantum gravity, namely string theory. Supersymmetry has also led to several new developments in mathematical physics such as, for example, the study of conformal field theories (that play a fundamental role in string theory and in the description of phase transitions in statistical mechanics) and integrable systems.
The analysis of supersymmetric theories on curved backgrounds has made possible the exact computation of several important observables. For instance, quantum computations in (super)conformal field theories on a conformally flat background, can be extrapolated from the curved to the flat space limit. For rigid supersymmetric field theories on curved spacetimes localisation techniques (which can reduce an infinite dimensional path integral to a fine dimensional one) allow one to compute quantum observables, such as the partition function, indices, correlators or Wilson loops exactly. Remarkably, localisation has been developed also for calculations in supergravity theories and evaluation of the quantum entropy of black holes. One crucial requirement of localisation is that SUSY has to close off-shell. This leads to the natural use of covariant off-shell (superspace) techniques.
In quantum field theories, correlation functions may contain singularities at coincident points, the so-called contact terms. They arise as higher-derivative terms in quantum effective actions on some supersymmetric gravity and gauge multiplet backgrounds. For correlation functions of symmetry currents, contact terms can lead to so-called anomalies. These manifest the breakdown of a symmetry due to short distance quantum effects. Anomalies have had a predominant role in the non-perturbative study of quantum field theory and string theory and relate to the Atiyah-Singer index theory in mathematics. In supersymmetric theories, anomalies lie in supermultiplets. Despite their importance, for general supersymmetry and spacetimes, the structure of higher-derivative invariants associated to contact terms and anomalies is not understood. These find important applications in the study supersymmetric quantum field theories, holographic correspondences between gauge and quantum gravity and related topics.
This project aims at: i) classifying general off-shell supersymmetric curved backgrounds by mean of new mathematical techniques; ii) studying supersymmetric and superconformal field theories on curved manifolds and their applications to holographic correspondences; iii) classify the structure of supersymmetric anomalies in generality.
This project will support the research of the ARC Future Fellowship of Dr. Gabriele Tartaglino Mazzucchelli “Supersymmetry and Supergravity: New Approaches and Applications.” The student will largely benefit from a vibrant international collaboration on supersymmetry and related topics.
Supersymmetry, Supergravity and String inspired models of Cosmology
During the last four decades, supersymmetry has been at the forefront of research in theoretical and mathematical physics of fundamental interactions. It played a crucial role in constructing models aimed at the unification of all forces including quantum gravity, namely string theory. As such, an active area of research is attempting to reconcile string theory with observed cosmology. Supersymmetry has also led to several new developments in mathematical physics.
Supergravity arises as the low-energy limit of string theory. Higher-order deformations of gravity give alternative descriptions of dark energy or dark matter and have recently become prominent in inflationary models; see for example the Starobinsky model. It has been recently shown that various higher-derivative supergravities lead to spontaneously broken supersymmetry and a dynamically generated positive cosmological constant. On one hand, this raised a renewed interest in extended supergravity models possessing de-Sitter (expanding universe) solutions in various dimensions. On the other hand, it remains an open question, and a subject of active debate in the string theory community, to understand whether these models are only effective theories or can be embedded in a consistent theory of quantum gravity.
Another breakthrough of the last two decades in research in string theory has been the discovery of holographic correspondences. These are theoretical tools connecting (D+1)-dimensional theories of (quantum) gravity to D-dimensional Quantum Field Theories (QFTs). The term holography is used in analogy to 2D holograms that can encode information about 3D objects. The best-established holographic conjectures involve supersymmetric theories. Several attempts to describe cosmological models by using holography have also been made.
This project aims at tackling open questions of string inspired cosmological models. A mathematical characterization of supergravity theories with spontaneously broken supersymmetry will be completed as a step towards understanding whether a positive cosmological constant and de-Sitter solutions can be consistent in string theory or different cosmological scenarios need to be found. Moreover, the project will explore also more exotic, but potentially revolutionary, holographic approaches to quantum cosmology.
Solvable supersymmetric field theories, string theory and AdS/CFT
During the last four decades, supersymmetry has been at the forefront of theoretical and mathematical physics of fundamental interactions. It played a crucial role in constructing models aimed at the unification of all forces including quantum gravity, namely string theory. Supersymmetry has also led to several new developments in mathematical physics such as, for example, the study of conformal field theories (that play a fundamental role in string theory and in the description of phase transitions in statistical mechanics) and integrable systems.
Supersymmetric quantum field theories in different space-time dimensions have been a fruitful ground of research to construct solvable models that shed new light on the dynamics of strongly coupled systems (such as the confinement of gauge theories), and our mathematical understanding of the physics of fundamental interactions. Some of the most impressive examples appeared in the last two decades in the context of the holographic AdS/CFT correspondences where integrability techniques, originally developed in statistical mechanics, started to play a crucial role in solving string theory models of quantum gravity. Holographic correspondences are theoretical tools connecting (D+1)-dimensional theories of (quantum) gravity to D-dimensional Quantum Field Theories (QFTs). The term holography is used in analogy to 2D holograms that can encode information about 3D objects. The best established holographic conjectures involve supersymmetric theories.
This project aims at expanding our knowledge of solvable/integrable quantum field and string theories by exploiting the technical advantages existing in supersymmetric theories and their deformations.
We will investigate deformations of integrable QFTs as a means of constructing new solvable models. Part of the project will look at a particular class of deformations, the so-called TTbar deformations, introduced by Zamolodchikov in 2004 for 2D QFTs. These deformations have received much attention in the high-energy theoretical physics community in the last few of years due to their application to the study of the AdS/CFT correspondence and for their impact in the field of 2D integrable QFTs. Extended also to dimensions higher than two, these deformations are starting to give new perspectives in understanding higher-derivative effective theories that arise in string theory and holographic correspondences where the energy spectrum can be solved exactly. Their extension to the supersymmetric case has been developed by Dr Tartaglino-Mazzucchelli, the Principal Advisor for this project, and his collaborators in a series of papers in 2018-2019. We plan to extend these results and develop a systematic understanding of supersymmetric TTbar deformations and their application to the AdS/CFT correspondence. We will then apply our findings to answer questions in these fields, including the detailed analysis of the spectrum and correlation functions of models on both sides of these correspondences.
This cutting-edge interdisciplinary research project will connect the very strong Australian mathematical physics community working on integrable systems with the research in theoretical physics that has characterized an international effort to construct a consistent unified theory of all fundamental interactions. This novel research synergy will enhance UQ’ and Australia’s position in mathematical and theoretical physics.
Supersymmetry and Supergravity: new approaches and applications
During the last four decades, supersymmetry has been at the forefront of theoretical and mathematical physics of fundamental interactions. It played a crucial role in constructing models aimed at the unification of all forces including quantum gravity, namely string theory. Supergravity arises as the low-energy limit of string theory and extends Einstein's General Relativity to an unifying framework of particles and forces.
This project aims at improving our understanding of general supersymmetric theories and supergravity-matter couplings. The outcomes of this project will advance our knowledge of supersymmetry and its mathematical formulation towards the solution of challenging open questions in the study of quantum field theories and gravity. The project’s results will find potential applications to various research branches of high-energy theoretical physics such as quantum field and string theories, matter-coupled gravity, cosmology and holographic dualities.