All timelike supersymmetric solutions of three-dimensional half-maximal supergravity

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 $16/2^n,1\le n\le 3$ 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.

arXiv comment38 pages + appendices, v2:published version, some clarifications

References in corpus (9)

• All supersymmetric solutions of minimal supergravity in five dimensions
• Self-Dual Chern-Simons Theories
• Generalized structures of N=1 vacua
• Locally supersymmetric D=3 non-linear sigma models
• Gauged locally supersymmetric D=3 nonlinear sigma models
• The spinorial geometry of supersymmetric backgrounds
• N=8 matter coupled AdS_3 supergravities
• On The Supersymmetric Solutions of D=3 Half-maximal Supergravities
• Classifying Supersymmetric Solutions in 3D Maximal Supergravity

Cited by in corpus (5)

• 3D supergravity from wrapped M5-branes
• On the supersymmetric solutions of the Heterotic Superstring effective action
• Nilpotent orbits in real symmetric pairs and stationary black holes
• Stationary $D=4$ Black Holes in Supergravity: The Issue of Real Nilpotent Orbits
• All supersymmetric solutions of 3D U(1)${}^3$ gauged supergravity