Kaluza-Klein Black Holes in String Theory

TL;DR

This paper presents exact string theory solutions describing four-dimensional magnetic black holes with Kaluza-Klein structure, derived from heterotic string theory and supergravity, highlighting their geometric and supersymmetric properties.

Contribution

It provides explicit heterotic string solutions for Kaluza-Klein black holes in four dimensions, connecting string theory, supergravity, and compactification frameworks.

Findings

Solutions describe black holes in the throat limit

Incorporates supersymmetry with (1,0) world sheet SUSY

Features a Kaluza-Klein gauge field with magnetic monopole background

Abstract

Exact solutions of heterotic string theory corresponding to four-dimensional magnetic black holes in $N=4$ supergravity are described. The solutions describe the black holes in the throat limit, and consist of a tensor product of an $SU(2)$ WZW orbifold with the linear dilaton vacuum, supersymmetrized to $(1,0)$ world sheet SUSY. One dimension of the $SU(2)$ model is interpreted as a compactified fifth dimension, leading to a four dimensional solution with a Kaluza-Klein gauge field having a magnetic monopole background; this corresponds to a solution in $N=4$ supergravity, since that theory is obtained by dimensional reduction of string theory.