String Junctions and BPS States in Seiberg-Witten Theory

TL;DR

This paper explores the relationship between BPS states in N=2 SU(2) Super-Yang-Mills theory and string junctions in a D3-brane setup, elucidating their stability and decay mechanisms across different coupling regimes.

Contribution

It introduces a physical model linking BPS states to string junctions, explaining their decay and absence at strong coupling in Seiberg-Witten theory.

Findings

BPS states correspond to multi-pronged strings connecting D3-branes and 7-branes.

Decay of BPS states is explained via string junctions on the curve of marginal stability.

Absence of certain BPS states at strong coupling is physically accounted for.

Abstract

We argue that certain BPS states in the D3-brane probe realization of N=2 SU(2) Super-Yang-Mills theory correspond to multi-pronged strings connecting the D3-brane to the background 7-branes. This provides a physical realization of the decay of these states on the curve of marginal stability, and explains their absence in the strong coupling regime.