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

  • Nihat Sadik Deger
  • George Moutsopoulos
  • Henning Samtleben
  • Özgür Sarıoğlu
Open AccessRegular Article - Theoretical Physics

DOI: 10.1007/JHEP06(2015)147

Cite this article as:
Deger, N.S., Moutsopoulos, G., Samtleben, H. et al. J. High Energ. Phys. (2015) 2015: 147. doi:10.1007/JHEP06(2015)147

Abstract

We first classify all supersymmetric solutions of the 3-dimensional half-maximal ungauged supergravity that possess a timelike Killing vector by considering their identification under the complexification of the local symmetry of the theory. It is found that only solutions that preserve 16/2n, 1 ≤ n ≤ 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.

Keywords

Supergravity Models Extended Supersymmetry 
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© The Author(s) 2015

Authors and Affiliations

  • Nihat Sadik Deger
    • 1
  • George Moutsopoulos
    • 1
  • Henning Samtleben
    • 2
  • Özgür Sarıoğlu
    • 3
  1. 1.Department of MathematicsBogazici UniversityBebekTurkey
  2. 2.Université de Lyon, Laboratoire de Physique, UMR 5672, CNRS et ENS de LyonLyon CEDEX 07France
  3. 3.Department of PhysicsMiddle East Technical UniversityAnkaraTurkey