The General Supersymmetric Solution of Topologically Massive Supergravity

Understand

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.