Three-dimensional black holes from deformed anti-de Sitter

TL;DR

This paper introduces new exact three-dimensional black string solutions with NS--NS and electromagnetic fields, generalizing BTZ black holes, derived from deformations of the SL(2,R) WZW model, and explores their singularities and string theory implications.

Contribution

It presents novel black string backgrounds as deformations of the SL(2,R) WZW model, expanding the class of exact string solutions and their algebraic CFT descriptions.

Findings

Existence of black string solutions with curvature and chronological singularities.

These backgrounds are part of the SL(2,R) WZW model moduli space.

Potential for detailed spectrum analysis of string primaries.

Abstract

We present new exact three-dimensional black-string backgrounds, which contain both NS--NS and electromagnetic fields, and generalize the BTZ black holes and the black string studied by Horne and Horowitz. They are obtained as deformations of the Sl(2,R) WZW model. Black holes resulting from purely continuous deformations possess true curvature singularities. When discrete identifications are introduced, extra chronological singularities appear, which under certain circumstances turn out to be naked. The backgrounds at hand appear in the moduli space of the Sl(2,R) WZW model. Hence, they provide exact string backgrounds and allow for a more algebraical CFT description. This makes possible the determination of the spectrum of primaries.