A Heterotic Multimonopole Solution

TL;DR

This paper presents an exact multimonopole solution in heterotic string theory, constructed by modifying the 't Hooft instanton ansatz, resulting in a finite action configuration that models monopole interactions.

Contribution

It introduces a novel heterotic string multimonopole solution by adapting the 't Hooft ansatz, demonstrating finite action through cancellation of divergences.

Findings

The solution has finite action due to divergence cancellation.

The moduli space metric for monopole scattering is flat at leading order.

The string monopole scattering aligns with trivial test monopole predictions.

Abstract

An exact multimonopole solution of heterotic string theory is presented. The solution is constructed by a modification of the 't Hooft ansatz for a four-dimensional instanton. An analogous solution in Yang-Mills field theory saturates a Bogomoln'yi bound and possesses the topology and far field limit of a multimonopole configuration, but has divergent action near each source. In the string solution, however, the divergences from the Yang-Mills sector are precisely cancelled by those from the gravity sector. The resultant action is finite and easily computed. The Manton metric on moduli space for the scattering of two string monopoles is found to be flat to leading order in the impact parameter, in agreement with the trivial scattering predicted by a test monopole calculation.