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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX, 1+19 pages, To appear in Nucl.Phys.B

Scientific paper

10.1016/j.nuclphysb.2007.04.011

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.

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