Exact Effective Superpotential for SO(N_c) Gauge Theory with $N_f$ Flavors

TL;DR

This paper derives the exact effective superpotential for SO(N_c) supersymmetric gauge theories with fundamental matter, extending the Dijkgraaf-Vafa duality framework to this class of models.

Contribution

It provides a novel derivation of the superpotential for SO(N_c) gauge theories with fundamental matter, generalizing previous results beyond SU(N_c) cases.

Findings

Explicit superpotential expressions for SO(N_c) theories

Extension of Dijkgraaf-Vafa duality to SO groups

Framework applicable to arbitrary polynomial superpotentials

Abstract

Motivated by the duality conjecture of Dijkgraaf and Vafa between supersymmetric gauge theories and matrix models, we derive the effective superpotential of N=1 supersymmetric gauge theory with gauge group SO(N_c) and arbitrary tree-level polynomial superpotential of one chiral superfield in the adjoint representation and $N_f$ fundamental matter multiplets.