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All timelike supersymmetric solutions of three-dimensional half-maximal supergravity
- Source :
- Journal of High Energy Physics
- Publication Year :
- 2015
- Publisher :
- Springer/SISSA, 2015.
-
Abstract
- We first classify all supersymmetric solutions of the 3-dimensional half-maximal ungauged supergravity that possess a timelike Killing vector coming from the Killing spinor bilinear by considering their identification under the complexification of the local symmetry of the theory. It is found that only solutions that preserve $16/2^n, 1 \leq n \leq 3$ real supersymmetries are allowed. We then classify supersymmetric solutions under the real local symmetry of the theory and we are able to solve the equations of motion for all of them. It is shown that all such solutions can be expressed as a direct sum of solutions of the integrable Liouville and SU(3) Toda systems. This completes the construction of all supersymmetric solutions of the model since the null case has already been solved.<br />Comment: 38 pages + appendices, v2:published version, some clarifications
- Subjects :
- High Energy Physics - Theory
Physics
Nuclear and High Energy Physics
Integrable system
Direct sum
Supergravity
Null (mathematics)
High Energy Physics::Phenomenology
Complexification
FOS: Physical sciences
General Relativity and Quantum Cosmology (gr-qc)
General Relativity and Quantum Cosmology
Killing vector field
High Energy Physics::Theory
High Energy Physics - Theory (hep-th)
Local symmetry
Killing spinor
Mathematical physics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Journal of High Energy Physics
- Accession number :
- edsair.doi.dedup.....df4262f35af4dc0cae3f511ff26ca8f3