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Motivated by the duality conjecture of Dijkgraaf and Vafa betweensupersymmetric gauge theories and matrix models, we derive the effectivesuperpotential of N=1 supersymmetric gauge theory with gauge group SO(N_c) andarbitrary tree level polynomial superpotential of one chiral superfield in theadjoint representation and N_f fundamental matter multiplets. For a specialpoint in the classical vacuum where the gauge group is unbroken, we show thatthe effective superpotential matches with that obtained from the geometricengineering approach.

Effective SO Superpotential for N=1 Theory with N_f Fundamental Matter