Supersymmetric SO(N)/Sp(N) Gauge Theory from Matrix Model:Exact Mesonic Vacua

TL;DR

This paper derives the exact effective superpotential for N=1 supersymmetric SO(N)/Sp(N) gauge theories using matrix models, revealing vacuum structures and nonperturbative effects from meson fields.

Contribution

It provides a novel matrix model approach to compute the exact superpotential and analyze vacua in SO(N)/Sp(N) gauge theories derived from N=2 SQCD.

Findings

Exact superpotential includes nonperturbative ADS term

Vacuum structure analyzed via extremization of superpotential

Behavior studied in limits of quark and adjoint masses

Abstract

By performing the matrix integral over the tree level superpotential of N=1 supersymmetric SO(N)/Sp(N) gauge theories obtained from N=2 SQCD by adding the mass term for the adjoint scalar field, the exact effective superpotential in terms of meson field contains the nonperturbative ADS superpotential as well as the classical tree level superpotential. By completing the meson matrix integral with the help of saddle point equation, we find the free energy contributions from matter part in terms of glueball field, the adjoint field mass and quark mass. By extremizing the effective superpotential with respect to the glueball field, we analyze the vacuum structure and describe the behavior of two limiting cases:zero limit of quark mass and infinity limit of adjoint field mass. We also study the magnetic theory.