Effective SO superpotential for N=1 theory with Nf fundamental matter

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. For a special point in the classical vacuum where the gauge group is unbroken, we show that the effective superpotential matches with that obtained from the geometric engineering approach.