Exact Three Dimensional Black Holes in String Theory

TL;DR

This paper presents an exact three-dimensional black hole solution in string theory, showing its duality to a black string and implications for string behavior in negative cosmological constants.

Contribution

It introduces a modified black hole solution in 3D string theory that is exact and relates it to the black string, highlighting the impact of a negative cosmological constant.

Findings

The solution is exact in string theory.

The black hole is dual to a black string.

Strings are unaffected by negative cosmological constants in three dimensions.

Abstract

A black hole solution to three dimensional general relativity with a negative cosmological constant has recently been found. We show that a slight modification of this solution yields an exact solution to string theory. This black hole is equivalent (under duality) to the previously discussed three dimensional black string solution. Since the black string is asymptotically flat and the black hole is asymptotically anti-de Sitter, this suggests that strings are not affected by a negative cosmological constant in three dimensions.