Self-Intersection Number of BPS Junctions in Backgrounds of Three and Seven-Branes

TL;DR

This paper extends the method of using self-intersection numbers of junctions to analyze BPS spectra from single to multiple D3-brane probes in 7-brane backgrounds, broadening the understanding of N=2 theories.

Contribution

It introduces a way to compute self-intersection numbers of junctions in backgrounds with multiple D3-branes, generalizing previous single-brane results.

Findings

Generalized the computation of self-intersection numbers for multiple D3-branes.

Provided tools to analyze BPS spectra in more complex N=2 theories.

Extended the applicability of junction-based constraints to richer backgrounds.

Abstract

In a recent paper DeWolfe et al. have shown how to use the self-intersection number of junctions to constrain the BPS spectrum of N=2, D=4 theories with ADE flavor symmetry arising on a single D3-brane probe in a 7-brane background. Motivated by the existence of more general N=2, D=4 theories arising on the worldvolume of multiple D3-brane probes we show how to compute the self-intersection number of junctions in the presence of 7-branes and multiple D3-branes.