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
physics, mathematical physics, philosophy of physics
theory (physics), model (physics)
experiment, measurement, computable physics
Axiomatizations
Tools
Structural phenomena
Types of quantum field thories
superalgebra and (synthetic ) supergeometry
Reductions of 11-dimensional supergravity on a 4-dimensional space to a 7-dimensional theory.
Maximal 7d supergravity has -U-duality (Kumar-Vafa 96, section 3.4, Rozali 97).
The AdS7/CFT6-correspondence relates 7-dimensional supergravity on asymptocially 7d anti de Sitter spacetimes to the 6d (2,0)-superconformal QFT.
10-dimensional type II supergravity, heterotic supergravity
The maximally N=4 supersymmetric -gauged supergravity in 7-dimensions was first constructed in
Ergin Sezgin, Abdus Salam, Maximal extended supergravity theory in seven dimensions, Physics Letters B
118 4–6 (1982) 359-364 [doi:10.1016/0370-2693(82)90204-0]
M. Pernici, Krzysztof Pilch, Peter van Nieuwenhuizen, Gauged Maximally Extended Supergravity in Seven Dimensions, Phys. Lett. B 143 (1984) 103-17 [spire:15064, doi:10.1016/0370-2693(84)90813-X]
There are also gaugings for non-compact groups
See also:
Eric Bergshoeff, Der-Chyn Jong, Ergin Sezgin, Noncompact gaugings, chiral reduction and dual sigma models in supergravity Class. Quantum Grav. 23 (2006) 2803–2831 [arXiv:hep-th/0509203, pdf]
Der-Chyn Jong, Aspects of 7D and 6D gauged supergravities PhD thesis (2007) (spire:776484, web)
Henning Samtleben, Martin Weidner, The maximal supergravities, Nucl.Phys. B 725 (2005) 383-419 [arXiv:hep-th/0506237, doi:10.1016/j.nuclphysb.2005.07.028]
Discussion of AdS vacua:
Nikolay Bobev, P. Marcos Crichigno, Universal RG Flows Across Dimensions and Holography, J. High Energ. Phys. 2017, 65 (2017) (arXiv:1708.05052)
Parinya Karndumri, Patharadanai Nuchino, Twisted compactifications of 6D field theories from maximal 7D gauged supergravity, Eur. Phys. J. C 80, 201 (2020) (arXiv:1912.04807)
Paul Townsend, String-Membrane Duality in Seven Dimensions, Phys. Lett. B354:247-255, 1995 (arXiv:hep-th/9504095)
Tony Gherghetta, Alex Kehagias, Anomaly Cancellation in Seven-Dimensional Supergravity with a Boundary, Phys.Rev. D68 (2003), 065019, (arXiv:hep-th/0212060)
Spyros D. Avramis, Alex Kehagias, Gauged Supergravity on the Orbifold (arXiv:hep-th/0407221)
T.G. Pugh, Ergin Sezgin, Kellogg Stelle, / Heterotic Supergravity with Gauged R-Symmetry (arXiv:1008.0726)
Giuseppe Dibitetto, Nicolò Petri, BPS objects in supergravity and their M-theory origin, JHEP 12 (2017) 041 (arXiv:1707.06152)
Bernardo Fraiman, Héctor Parra De Freitas, Symmetry Enhancements in 7d Heterotic Strings (arXiv:2106.08189)
The following references discuss construction of full 7d sugra theories or of their solutions by KK-reduction from 11-dimensional supergravity or from 10d type II supergravity.
The construction of 7d supergravity by KK-reduction from 11-dimensional supergravity was first indicated in
via what is now called Freund-Rubin compactification.
That their Ansatz is indeed consistent has been shown in
Horatiu Nastase, Diana Vaman, Peter van Nieuwenhuizen, Consistent nonlinear KK reduction of 11d supergravity on and self-duality in odd dimensions Phys.Lett. B469 (1999) 96-102 (arXiv:hep-th/9905075)
Ali Chamseddine, W. A. Sabra, gauged supergravity from supergravity, Physics Letters B
476 3-4 (2000) 415-419 [arXiv:hep-th/9911180, doi:10.1016/S0370-2693(00)00129-5]
The -U-duality in 7d is discussed in
Alok Kumar, Cumrun Vafa, section 3.4 of U-Manifolds, Phys.Lett. B396 (1997) 85-90 (arXiv:hep-th/9611007)
Moshe Rozali, Matrix Theory and U-Duality in Seven Dimensions, Phys.Lett. B400 (1997) 260-264 (arXiv:hep-th/9702136)
Explicit compactifications are discussed in
Peter van Nieuwenhuizen, N. P. Warner, New Compactificafions of Ten and Eleven Dimensional Supergravity on Manifolds Which Are Not Direct Products Commun. Math. Phys. 99, 141-151 (1985)
Jerome Gauntlett, Nakwoo Kim, Stathis Pakis, Daniel Waldram, M-Theory solutions with AdS factors (arXiv:hep-th/0202184)
See also
Relation to massive type IIA supergravity and bound states of D-branes:
Discussion in the D'Auria-Fré-Regge formulation of supergravity:
and the 7d analog of the DF-algebra (the Chevalley-Eilenberg algebra of a spinorial extension of the M-theory super Lie algebra) is due to
Laura Andrianopoli, Riccardo D'Auria, Lucrezia Ravera, Hidden Gauge Structure of Supersymmetric Free Differential Algebras, JHEP 1608 (2016) 095 (arXiv:1606.07328)
Lucrezia Ravera, Group Theoretical Hidden Structure of Supergravity Theories in Higher Dimensions (arXiv:1802.06602)
Last revised on July 17, 2024 at 20:05:08. See the history of this page for a list of all contributions to it.