Three String Junction and N=4 Dyon Spectrum

TL;DR

This paper predicts the BPS spectrum of three string junctions in N=4 supersymmetric theories using dyon spectrum calculations, and confirms these predictions through agreement with known spectra across different moduli space regions.

Contribution

It establishes a connection between dyon spectra in string theories and BPS spectra of string junctions, providing a novel check of spectrum predictions in N=4 theories.

Findings

Agreement of predicted and known three string junction spectra across moduli space

Validation of dyon spectrum predictions through string junction analysis

Insights into wall-crossing phenomena in N=4 supersymmetric theories

Abstract

The exact spectrum of dyons in a class of N=4 supersymmetric string theories gives us information about dyon spectrum in N=4 supersymmetric gauge theories. This in turn can be translated into prediction about the BPS spectrum of three string junctions on a configuration of three parallel D3-branes. We show that this prediction agrees with the known spectrum of three string junction in different domains in the moduli space separated by walls of marginal stability.