Charged String-like Solutions of Low-energy Heterotic String Theory

TL;DR

This paper presents two novel charged string-like solutions in low-energy heterotic string theory, including a supersymmetric solution and a black string, and discusses their relation to fundamental heterotic strings.

Contribution

It introduces the most general supersymmetric and charged black string solutions in heterotic string theory, expanding understanding of string-like objects and their supersymmetry properties.

Findings

One solution preserves half of the supersymmetries.

The second solution is a charged black string with an event horizon.

Stable states of fundamental heterotic strings also preserve half of the supersymmetries.

Abstract

Two string-like solutions to the equations of motion of the low-energy effective action for the heterotic string are found, each a source of electric and magnetic fields. The first carries an electric current equal to the electric charge per unit length and is the most general solution which preserves one half of the supersymmetries. The second is the most general charged solution with an event horizon, a `black string'. The relationship of the solutions to fundamental, macroscopic heterotic strings is discussed, and in particular it is shown that any stable state of such a fundamental string also preserves one half of the supersymmetries, in the same manner as the first solution.