Exact SU(2)*U(1) Stringy Black Holes

TL;DR

This paper constructs exact heterotic string theory solutions for magnetic dilaton black holes by incorporating SU(2) Yang-Mills fields and alpha' corrections, resulting in analytic multi-black-hole configurations.

Contribution

It introduces a method to obtain exact string theory black hole solutions with non-Abelian fields, extending previous solutions and including multi-black-hole configurations.

Findings

Solutions are exact and analytic, including multi-black-hole configurations.

Inclusion of SU(2) Yang-Mills fields ensures consistency with alpha' corrections.

Discussion on the exactness of other black-hole solutions like dilaton and Taub-NUT.

Abstract

Extreme magnetic dilaton black holes are promoted to exact solutions of heterotic string theory with unbroken supersymmetry. With account taken of alpha' corrections this is accomplished by supplementing the known solutions with SU(2) Yang-Mills vectors and scalars in addition to the already existing Abelian U(1) vector field. The solution has a simple analytic form and includes multi-black-holes. The issue of exactness of other black-hole-type solutions, including extreme dilaton electrically charged black holes and Taub-NUT solutions is discussed.