On the Heterotic Dipole at Strong Coupling

TL;DR

This paper investigates the heterotic string theory dipole solution in four dimensions, focusing on its structure, divergence issues, and a duality-based approach to its proper description at strong coupling.

Contribution

It introduces a dual variable framework to accurately describe the heterotic dipole solution at strong coupling, addressing divergence problems.

Findings

The dipole consists of monopole and anti-monopole connected by a flux string.

The string length diverges due to increasing coupling near the poles.

Dual variables provide a consistent description of the solution at strong coupling.

Abstract

We analyse the dipole solution of heterotic string theory in four dimensions. It has the structure of monopole and anti-monopole connected by flux line (string). Due to growing coupling near the poles, the length of the string diverges. However, exploiting the self-duality of heterotic string theory in four dimension, we argue that this string is correctly described in terms of dual variables.