On String Junctions in Supersymmetric Gauge Theories

TL;DR

This paper investigates string junctions in supersymmetric gauge theories using gauge/gravity duality, revealing that baryon vertex energies vanish in certain backgrounds, indicating special supersymmetric properties.

Contribution

It provides a detailed analysis of confining string junctions in N=1 supersymmetric theories via D-brane configurations, with new analytical proof of baryon vertex energy vanishing in the MN background.

Findings

Baryon vertices contribute negatively to energy in KS background.

Energies of baryon vertices in MN background are exactly zero.

Analytical proof of zero baryon vertex energy in MN background.

Abstract

We study junctions consisting of confining strings in N=1 supersymmetric large N gauge theories by means of the gauge/gravity correspondence. We realize these junctions as D-brane configurations in infrared geometries of the Klebanov-Strassler (KS) and the Maldacena-Nunez (MN) solutions. After discussing kinematics associated with the balance of tensions, we compute the energies of baryon vertices numerically. In the KS background, baryon vertices give negative contributions to the energies. The results for the MN background strongly suggest that the energies of baryon vertices exactly vanish, as in the case of supersymmetric (p,q)-string junctions. We find that brane configurations in the MN background have a property similar to the holomorphy of the M-theory realization of (p,q)-string junctions. With the help of this property, we analytically prove the vanishing of the energies of baryon vertices in the MN background.