Supersymmetric large-N reduced model with multiple matter

Abstract

We showed in hep-th/0303210 that the Dijkgraaf-Vafa theory can be regarded as large-N reduction in the case of $\mathcal{N}=1$ supersymmetric U(N) gauge theories, with single adjoint matter. We generalize this to gauge theories with gauge groups being the products of some unitary groups coupled to bifundamental or fundamental matter. We show that some large-N reduced models of these theories are supermatrix models, whose free energy is equivalent to the prepotentials of the original gauge theories. The supermatrix model in our approach should be taken in the Veneziano limit $N_c,N_f\to \infty$ with $N_f/N_c$ fixed.

24 pages, LaTeX. to appear in Nucl. Phys. B

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• One-point functions of non-SUSY operators at arbitrary genus in a matrix model for type IIA superstrings
• Direct derivation of the Veneziano-Yankielowicz superpotential from matrix model
• Non-planar Diagrams and Non-commutative Superspace in Dijkgraaf-Vafa theory
• N=1* model superpotential revisited (IR behaviour of N=4 limit)
• Study of the Emergence of a Gluon Mass Scale from Center Vortices Using a Wave-Functional Formalism
• Matrix Model and beta-deformed N=4 SYM
• Super Yang-Mills Theory from a Supermatrix Model