2008/07/31 by G. W. Gibbons, G W Gibbons, C. N. Pope +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Non-Hermitian Physics #hep-th
paper · pdf · doi:10.1088/0264-9381/25/20/205005
published as Class.Quant.Grav.25:205005,2008 · Minor corrections
openalex publication_date 2008/09/25 · arxiv created 2011/04/15 · arxiv updated 2011/04/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We find the general fully nonlinear 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 μ. If μ does not take the critical value, μ = ±1, these solutions are asymptotically regular on a Poincaré patch, but do not admit a smooth global compactification with boundary . In the critical case, the solutions have a logarithmic singularity on the boundary of the Poincaré 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.