A Multimonopole Solution in String Theory

TL;DR

This paper constructs a finite-action multimonopole solution in heterotic string theory by modifying the 't Hooft ansatz, balancing divergences between Yang-Mills and gravity sectors, advancing understanding of non-perturbative solutions in string theory.

Contribution

It introduces a novel multimonopole solution in heterotic string theory that cancels divergences between sectors, extending previous Yang-Mills instanton solutions.

Findings

Constructed a multimonopole solution with finite action in heterotic string theory.

Demonstrated divergence cancellation between Yang-Mills and gravity sectors.

Extended the class of known non-perturbative solutions in string theory.

Abstract

A multimonopole solution in Yang-Mills field theory is obtained by a modification of the 't Hooft ansatz for a four-dimensional instanton. Although this solution has divergent action near each source, it can be used to construct an exact finite action multimonopole solution of heterotic string theory, in which the divergences from the Yang-Mills sector are precisely cancelled by those from the gravity sector.