S-Duality and the Spectrum of Magnetic Monopoles in Heterotic String Theory

TL;DR

This paper explores how S-duality predicts the spectrum of magnetic monopoles in four-dimensional heterotic string theory, focusing on H-monopoles and their consistency with duality symmetries.

Contribution

It provides a detailed analysis of the monopole spectrum in heterotic string theory and demonstrates consistency with S-duality predictions under specific assumptions.

Findings

Spectrum of H-monopoles matches S-duality predictions

Results support the validity of duality symmetries in string theory

Analysis of collective coordinates aligns with theoretical expectations

Abstract

We discuss the predictions of S-duality for the monopole spectrum of four-dimensional heterotic string theory resulting from toroidal compactification. We discuss in detail the spectrum of "H-monopoles", states that are magnetically charged with respect to the U(1) groups arising from the dimensional reduction of the ten dimensional antisymmetric tensor field. Using an assumption concerning the correct treatment of collective coordinates in string theory we find results which are consistent with S-duality.