The General Supersymmetric Solution of Topologically Massive Supergravity

Details The General Supersymmetric Solution of Topologically Massive Supergravity The General Supersymmetric Solution of Topologically Massive Supergravity

2008-07-16

arxiv.org/abs/0807.2613v2

Class.Quant.Grav.25:205005,2008

Physics

High Energy Physics

High Energy Physics - Theory

Minor corrections

Scientific paper

10.1088/0264-9381/25/20/205005

We find the general fully non-linear solution of topologically massive supergravity admitting a Killing spinor. It is of plane-wave type, with a null Killing vector field. Conversely, we show that all solutions with a null Killing vector are supersymmetric for one or the other choice of sign for the Chern-Simons coupling constant \mu. If \mu does not take the critical value \mu=\pm 1, these solutions are asymptotically regular on a Poincar\'e patch, but do not admit a smooth global compactification with boundary S^1\times\R. In the critical case, the solutions have a logarithmic singularity on the boundary of the Poincar\'e patch. We derive a Nester-Witten identity, which allows us to identify the associated charges, but we conclude that the presence of the Chern-Simons term prevents us from making a statement about their positivity. The Nester-Witten procedure is applied to the BTZ black hole.

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