Monopoles and Instantons in String Theory

TL;DR

This paper classifies solitonic solutions in string theory with higher-membrane structures, focusing on instantons and monopoles distinguished by their transverse symmetry, and discusses solutions in bosonic and heterotic contexts.

Contribution

It introduces a classification scheme for solitonic solutions in string theory based on their transverse symmetry properties, including instantons and monopoles.

Findings

Classified solitons by transverse symmetry in string theory.

Identified instanton solutions with four-dimensional spherical symmetry.

Identified monopole solutions with three-dimensional spherical symmetry.

Abstract

In recent work, several classes of solitonic solutions of string theory with higher-membrane structure have been obtained. These solutions can be classified according to the symmetry possessed by the solitons in the subspace of the spacetime transverse to the membrane. Solitons with four-dimensional spherical symmetry represent instanton solutions in string theory, while those with three-dimensional spherical symmetry represent magnetic monopole-type solutions. For both of these classes, we discuss bosonic as well as heterotic solutions.