Three-Pronged Strings and 1/4 BPS States in N=4 Super-Yang-Mills Theory

TL;DR

This paper constructs explicit 1/4 BPS states in N=4 Super-Yang-Mills with SU(3), representing three-pronged strings between D3-branes, and identifies stability curves where these states decay into 1/2 BPS states.

Contribution

It provides the first explicit construction of three-pronged string configurations for 1/4 BPS states in SU(3) N=4 SYM and analyzes their stability in moduli space.

Findings

Explicit three-pronged string configurations for 1/4 BPS states

Identification of curves of marginal stability in moduli space

Decay of 1/4 BPS states into 1/2 BPS states at stability boundaries

Abstract

We provide an explicit construction of 1/4 BPS states in four-dimensional N=4 Super-Yang-Mills theory with a gauge group SU(3). These states correspond to three-pronged strings connecting three D3-branes. We also find curves of marginal stability in the moduli space of the theory, at which the above states can decay into two 1/2 BPS states.