The DOI matches its Crossref record; 21 of the 21 references it cites were found in a registry or an index.
The geometry of D= 11 Killing spinors
Open accessAbstract
We propose a way to classify the local form of all bosonic supersymmetric configurations of D = 11 supergravity, using the differential forms that can be constructed as bi-linears from the Killing spinors. We show that the most general bosonic geometries either have a privileged SU(5) or a (Spin(7)8) × structure, depending on whether the Killing vector constructed from the Killing spinor is timelike or null, respectively. In the time-like case we derive the general local form of the geometry and show that it is almost completely determined by a certain SU(5) structure on the ten-dimensional space orthogonal to the orbits of the Killing vector. We also deduce what further conditions must be imposed in order that the equations of motion are satisfied. We illustrate the formalism with some known solutions and also present some new solutions including a rotating generalisation of the resolved membrane solutions and generalisations of the recently constructed D = 11 Godel solution. We also prove some general vanishing theorems for compactifications with flux.
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Cites
All supersymmetric solutions of minimal supergravity in five dimensions
Gauntlett, J. P., Gutowski, J. B., Hull, C. M., Pakis, S., & Reall, H. S. (2003) · Classical and Quantum Gravity · doi:10.1088/0264-9381/20/21/005 · Cited by 749
Self-citationSupermembranes and eleven-dimensional supergravity
Bergshoeff, E., Sezgin, E., & Townsend, P. K. (1987) · Physics Letters B · doi:10.1016/0370-2693(87)91272-x · Cited by 672
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Riemannian geometry and holonomy groups
SALAMON, S. (1990) · Acta Applicandae Mathematicae · doi:10.1007/bf00049573 · Cited by 447
Properties of the eleven-dimensional supermembrane theory
Bergshoeff, E., Sezgin, E., & Townsend, P. K. (1988) · Annals of Physics · doi:10.1016/0003-4916(88)90050-4 · Cited by 424
All metrics admitting super-covariantly constant spinors
Tod, K. P. (1983) · Physics Letters B · doi:10.1016/0370-2693(83)90797-9 · Cited by 351
Non-Kähler string backgrounds and their five torsion classes
Cardoso, G. L., Curio, G., Dall'Agata, G., Lüst, D., Manousselis, P., & Zoupanos, G. (2003) · Nuclear Physics B · doi:10.1016/s0550-3213(03)00049-x · Cited by 347
Parallel spinors and connections with skew-symmetric torsion in string theory
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A one-loop test of string duality
Vafa, C., & Witten, E. (1995) · Nuclear Physics B · doi:10.1016/0550-3213(95)00280-6 · Cited by 308
Eleven-dimensional origin of string/string duality: a one-loop test
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Cited by
Maldacena, J., & Maoz, L. (2004) · Journal of High Energy Physics · doi:10.1088/1126-6708/2004/02/053 · Cited by 426
Supersymmetric AdS5black holes
Gutowski, J. B., & Reall, H. S. (2004) · Journal of High Energy Physics · doi:10.1088/1126-6708/2004/02/006 · Cited by 328
Supersymmetric AdS 5 solutions of M-theory
Gauntlett, J. P., Martelli, D., Sparks, J., & Waldram, D. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/18/005 · Cited by 298
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Metadata
- Authors
- Gauntlett, J. P., & Pakis, S.
- Venue
- Journal of High Energy Physics
- Published
- 2003-04-23
- Volume
- 2003
- Issue
- 04
- Pages
- 039-039
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W2042458867
- Cited by
- 329
- References
- 21
- FWCI
- 22.81
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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