Exact three dimensional black hole with gauge fields in string theory

TL;DR

This paper derives exact three-dimensional black hole solutions with gauge fields in string theory, demonstrating their equivalence to WZW models and exploring dualities leading to charged black string solutions.

Contribution

It presents new exact BTZ-type solutions with gauge fields in 3D string theory, including dual models and their relation to charged black strings.

Findings

Solutions are exact and derived from extended gauge algebras.

Related sigma models are SL(2;R) WZW models and classically equivalent.

Dual solutions correspond to charged black string configurations.

Abstract

We have obtained exact three dimensional BTZ type solutions with gauge fields, for string theory on a gauge symmetric gravitational background constructed from semi-simple extension of the Poincare algebra (and the Maxwell algebra) in 2 + 1 dimensions. We have studied the models for two non-Abelian and Abelian gauge fields solutions and shown that the related sigma models for each of these backgrounds is a SL(2;R) WZW (Wess-Zumino-Witten) model and that they are classically canonically equivalent. We have also obtained the dual solution for the Abelian case and by interpreting the new field strength tensors of the Abelian solution as electromagnetic field strength tensors shown that dual models coincide with the charged black string solution.