Black hole solutions in Chern-Simons AdS supergravity

TL;DR

This paper explores charged black hole solutions in five-dimensional Chern-Simons supergravity with a focus on the role of torsion and its implications for the theory's degrees of freedom.

Contribution

It provides analytic black hole solutions in 5D Chern-Simons supergravity and analyzes the impact of torsion on these solutions and the theory's propagating degrees of freedom.

Findings

Black hole solutions asymptote to locally AdS spacetime.

Torsion enables the black holes to carry U(1) charge.

The theory's local degrees of freedom are identified in the static symmetric sector.

Abstract

We study charged AdS black hole solutions in five-dimensional Chern-Simons supergravity. The minimal supergroup containing such AdSxU(1) configurations is the superunitary group SU(2,2|N). For this model, we find analytic black hole solutions that asymptote to locally AdS spacetime at the boundary. A solution can carry U(1) charge provided the spacetime torsion is non-vanishing. Thus, we analyze the most general configuration consistent with the local AdS isometries in Riemann-Cartan space. The coupling of torsion in the action resembles that of the universal axion of string theory, and it is ultimately due to this field that the theory acquires propagating degrees of freedom. Through a careful analysis of the canonical structure the local degrees of freedom of the theory are identified in the static symmetric sector of phase space.