Perturbative Computation of Glueball Superpotentials for SO(N) and USp(N)

TL;DR

This paper proves the matrix model conjecture for N=1 USp(N) and SO(N) gauge theories, deriving a relation to field theory and explicitly calculating glueball superpotentials consistent with expectations.

Contribution

It provides a proof of the matrix model conjecture for specific gauge theories and establishes a method to relate matrix model results to field theory calculations.

Findings

Validated the matrix model conjecture for USp(N) and SO(N) gauge theories.

Derived a prescription linking matrix model and field theory computations.

Explicitly computed glueball superpotentials consistent with theoretical predictions.

Abstract

We use the superspace method of hep-th/0211017 to prove the matrix model conjecture for N=1 USp(N) and SO(N) gauge theories in four dimensions. We derive the prescription to relate the matrix model to the field theory computations. We perform an explicit calculation of glueball superpotentials. The result is consistent with field theory expectations.