Charged Stringy Black Holes With Non-Abelian Hair

TL;DR

This paper constructs new charged black hole solutions in heterotic string theory with non-abelian hair, revealing complex structures and behaviors similar to Einstein-Yang-Mills black holes, especially in extremal limits.

Contribution

It introduces static, spherically symmetric charged black holes with non-abelian hair in heterotic string theory, expanding understanding of black hole solutions with non-abelian gauge fields.

Findings

Black holes possess non-abelian hair alongside Coulomb magnetic fields.

Extremal black holes have horizons shrinking to a point, resembling abelian dilatonic black holes.

Non-abelian hair exhibits sphaleron-like structures.

Abstract

Static spherically symmetric asymptotically flat charged black hole solutions are constructed within the magnetic SU(3) sector of the 4-dimensional heterotic string effective action. They possess non-abelian hair in addition to the Coulomb magnetic field and are qualitatively similar to the Einstein-Yang-Mills colored SU(3) black holes except for the extremal case. In the extremality limit the horizon shrinks and the resulting geometry around the origin coincides with that of an extremal abelian dilatonic black hole with magnetic charge. Non-abelian hair exibits then typical sphaleron structure.