Multi-Pronged Strings and BPS Saturated Solutions in SU(N) Supersymmetric Yang-Mills Theory

TL;DR

This paper constructs and analyzes spherically symmetric BPS solutions in N=4 SU(N) supersymmetric Yang-Mills theory, revealing their string theory counterparts as multi-pronged strings connecting D3-branes.

Contribution

It extends previous SU(3) work to general SU(N), providing explicit solutions and connecting field theory BPS states with string theory multi-pronged string configurations.

Findings

Explicit BPS solutions for SU(N) gauge group.

Exact solutions for specific parameter values.

Correspondence between field theory solutions and string theory multi-pronged strings.

Abstract

Extending our previous work on SU(3), we construct spherically symmetric BPS saturated regular configurations of N=4 SU(N) supersymmetric Yang-Mills theory preserving 1/4 supersymmetry, and investigate their features. We also give exact solutions in the case some of the free parameters of the general solutions take certain values. These field theory BPS states correspond to the string theory BPS states of multi-pronged strings connecting N different D3-branes by regarding the N=4 supersymmetric Yang-Mills theory as an effective field theory on parallel D3-branes. We compare our solutions with multi-pronged strings in string picture.