Geometric Realizations of BPS States in N=2 Theories

TL;DR

This paper investigates the BPS spectrum in N=2 theories via string configurations, revealing how specific multi-string arrangements correspond to BPS states and connecting these to M theory structures.

Contribution

It introduces a geometric approach to realize BPS states in N=2 theories using multi-string configurations and explores their relation to M theory membranes.

Findings

Identifies selection rules for BPS state formation

Determines the spectrum of N=2 SU(2) Yang-Mills

Links multi-string configurations to M theory membranes

Abstract

We study the BPS spectrum of the theory on a D3-brane probe in F theory. The BPS states are realized by multi-string configurations in spacetime. Only certain configurations obeying a selection rule give rise to BPS states in the four-dimensional probe theory. Using these string configurations, we determine the spectrum of N=2 SU(2) Yang-Mills. We also explore the relation between multi-string configurations, M theory membranes and self-dual strings.