On the supersymmetric solutions of D=3 half-maximal supergravities

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2010-11-21

Author

DEĞER, NİHAT SADIK
Samtleben, Henning
Sarıoğlu, Bahtiyar Özgür

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We initiate a systematic study of the solutions of three-dimensional matter-coupled half-maximal (N = 8) supergravities which admit a Killing spinor. To this end we analyze in detail the invariant tensors built from spinor bilinears, a technique originally developed and applied in higher dimensions. This reveals an intriguing interplay with the scalar target space geometry SO(8, n)/(SO(8) x SO(n)). Another interesting feature of the three-dimensional case is the implementation of the duality between vector and scalar fields in this framework. For the ungauged theory with timelike Killing vector, we explicitly determine the scalar current and show that its integrability relation reduces to a covariant holomorphicity equation, for which we present a number of explicit solutions. For the case of a null Killing vector, we give the most general solution which is of pp-wave type.

Subject Keywords

N=2, Configurations

URI

https://hdl.handle.net/11511/33086

Journal

NUCLEAR PHYSICS B

DOI

https://doi.org/10.1016/j.nuclphysb.2010.06.020

Collections

Department of Physics, Article

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Citation Formats

N. S. DEĞER, H. Samtleben, and B. Ö. Sarıoğlu, “On the supersymmetric solutions of D=3 half-maximal supergravities,” NUCLEAR PHYSICS B, pp. 29–53, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/33086.