Stringy Sphalerons and Non-Abelian Black Holes

TL;DR

This paper constructs static, spherically symmetric solutions in heterotic string theory that resemble Einstein-Yang-Mills sphalerons and black holes, featuring quantized dilaton charges and connecting different Yang-Mills vacua.

Contribution

It introduces new solutions in heterotic string theory with quantized dilaton charges, expanding the understanding of non-Abelian black holes and sphalerons.

Findings

Solutions are topologically distinct from Yang-Mills vacua.

Existence of black hole and particle-like solutions with quantized dilaton charges.

Resemblance to Einstein-Yang-Mills sphalerons and black holes.

Abstract

Static spherically symmetric asymptotically flat particle-like and black hole solutions are constructed within the SU(2) sector of 4-dimensional heterotic string effective action. They separate topologically distinct Yang-Mills vacua and are qualitatively similar to the Einstein-Yang-Mills spha- lerons and non-abelian black holes discussed recently. New solutions possess quantized values of the dilaton charge.