The General Supersymmetric Solution of Topologically Massive Supergravity
Jul, 2008
19 pages
Published in:
- Class.Quant.Grav. 25 (2008) 205005
e-Print:
- 0807.2613 [hep-th]
Report number:
- MIFP-08-17
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Abstract: (arXiv)
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.- vector: Killing
- supergravity: massive
- spinor: Killing
- mass: topological
- black hole: BTZ
- supersymmetry
- singularity
- Chern-Simons term
- asymptotic behavior
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