Formalism
Definition
Spacetime configurations
Properties
Spacetimes
black hole spacetimes | vanishing angular momentum | positive angular momentum |
---|---|---|
vanishing charge | Schwarzschild spacetime | Kerr spacetime |
positive charge | Reissner-Nordstrom spacetime | Kerr-Newman spacetime |
Quantum theory
superalgebra and (synthetic ) supergeometry
supergravity in dimension 6
Background on spin representations and supersymmetry:
221 2 (1983) 331-348 [doi:10.1016/0550-3213(83)90582-5]
Formulation of supergravity on superspace:
Moustafa A. Awada, Paul Townsend, Germán Sierra: Six-dimensional simple and extended chiral supergravity in superspace, Class. Quantum Grav. 2 (1985) L85 [doi:10.1088/0264-9381/2/4/005]
Leonardo Castellani, Riccardo D'Auria, Pietro Fré, §III.7 in: Supergravity and Superstrings - A Geometric Perspective, World Scientific (1991) [§III.7: pdf]
Gianguido Dall'Agata, Kurt Lechner, , Supergravity: Duality and non Minimal Couplings, Nucl. Phys. B 511 (1998) 326-352 [arXiv:hep-th/9707236, doi:10.1016/S0550-3213(97)00719-0]
William D. Linch III, Gabriele Tartaglino-Mazzucchelli, Six-dimensional Supergravity and Projective Superfields, JHEP 1208 (2012) 075 [arXiv:1204.4195, doi:10.1007/JHEP08(2012)075]
Cesar Arias, William D. Linch III, Alexander K. Ridgway: Appendix A in: Superforms in Six-dimensional Superspace, J. High Energ. Phys. 2016 16 (2016). [arXiv:1402.4823, doi:10.1007/JHEP05(2016)016]
Cesar Arias, The Geometry of 6D, Superspace and its Matter Couplings [arXiv:1511.00335, spire:1402402]
Further discussion:
Sergio Ferrara, Fabio Riccioni, Augusto Sagnotti, Tensor and Vector Multiplets in Six-Dimensional Supergravity, Nucl. Phys. B 519 (1998) 115-140 [arXiv:hep-th/9711059, doi:10.1016/S0550-3213(97)00837-7]
Fabio Riccioni, Augusto Sagnotti, Some Properties of Tensor Multiplets in Six-Dimensional Supergravity, Nucl. Phys. Proc. Suppl. 67 (1998) 68-73 [arXiv:hep-th/9711077, doi:10.1016/S0920-5632(98)00121-2]
Fabio Riccioni, All Couplings of Minimal Six-dimensional Supergravity_, Nucl. Phys. B 605 (2001) 245-265 [arXiv:hep-th/0101074, doi:10.1016/S0550-3213(01)00199-7]
Vijay Kumar, Daniel S. Park, Washington Taylor, 6D supergravity without tensor multiplets, JHEP 1104:080,2011 (arXiv:1011.0726)
Ángel Murcia, Carlos S. Shahbazi, Contact metric three manifolds and Lorentzian geometry with torsion in six-dimensional supergravity, Journal of Geometry and Physics 158 (2020) [arXiv:1912.08723, doi:10.1016/j.geomphys.2020.103868]
(relation to contact geometry)
Edoardo Lauria, Antoine Van Proeyen, Supergravity in Dimensions (arXiv:2004.11433)
Yuta Hamada, Gregory J. Loges, Towards a complete classification of 6D supergravities [arXiv:2311.00868]
Gregory J. Loges, A new infinite class of 6d, supergravities [arXiv:2402.04371]
For “exotic” -supersymmetry:
Chris Hull, Strongly Coupled Gravity and Duality, Nucl.Phys. B 583 (2000) 237-259 [arXiv:hep-th/0004195, doi:10.1016/S0550-3213(00)00323-0]
Chris Hull, Symmetries and Compactifications of Conformal Gravity, JHEP 0012: 007 (2000) [arXiv:hep-th/0011215, doi:10.1088/1126-6708/2000/12/007]
Yannick Bertrand, Stefan Hohenegger, Olaf Hohm, Henning Samtleben, Toward Exotic 6D Supergravities, Phys. Rev. D 103 (2021) 046002 [arXiv:2007.11644, doi:10.1103/PhysRevD.103.046002]
Yannick Bertrand, Stefan Hohenegger, Olaf Hohm, Henning Samtleben, Supersymmetric action for 6D supergravity, JHEP (2022) [arXiv:2206.04100]
Chris Hull, Gravity, Duality and Conformal Symmetry, in Quantum gravity, branes and M-theory [arXi:2209.11716]
Discussion of Killing spinors/enhancement of number of supersymmetries in D=6 supergravity:
Mehmet Akyol, George Papadopoulos, Spinorial geometry and Killing spinor equations of 6-D supergravity, Class. Quant. Grav. 28:105001, 2011 (arXiv:1010.2632)
Mehmet Akyol, George Papadopoulos, superconformal theories in six dimensions and Killing spinor equations, JHEP 07 (2012) 070 (arXiv:1204.2167)
Realization of JT-gravity as Kaluza-Klein reduction of D=6 supergravity on the worldvolume of D1-D5 brane bound states or M2-M5 brane bound states:
Yue-Zhou Li, Shou-Long Li, H. Lu, Exact Embeddings of JT Gravity in Strings and M-theory, Eur. Phys. J. C (2018) 78: 791 (arXiv:1804.09742)
Iosif Bena, Pierre Heidmann, David Turton, Holography: Mind the Cap, JHEP 1812 (2018) 028 (arXiv:1806.02834)
Last revised on July 17, 2024 at 20:05:05. See the history of this page for a list of all contributions to it.