1208.3921 (Shouvik Datta et al.)

Supersymmetry of classical solutions in Chern-Simons higher spin
supergravity    [PDF]

Shouvik Datta, Justin R. David

We construct and study classical solutions in Chern-Simons supergravity based on the superalgebra sl(N|N-1). The algebra for the N=3 case is written down explicitly using the fact that it arises as the global part of the superconformal W_3 superalgebra. For this case we construct new classical solutions and study their supersymmetry. Using the algebra we write down the Killing spinor equations and explicitly construct the Killing spinor for conical defects and black holes in this theory. We show that for the general sl(N|N-1) theory the condition for the periodicity of the Killing spinor can be written in terms of the products of the odd roots of the superalgebra and the eigenvalues of the holonomy matrix of the background. We verify this explicitly for the higher spin conical defects constructed in the sl(3|2) theory.

View original: http://arxiv.org/abs/1208.3921