Effective matter superpotentials from Wishart random matrices

Abstract

We show how within the Dijkgraaf-Vafa prescription one can derive superpotentials for matter fields. The ingredients forming the non-perturbative Affleck-Dine-Seiberg superpotentials arise from constrained matrix integrals, which are equivalent to classical complex Wishart random matrices. The mechanism is similar to the way the Veneziano-Yankielowicz superpotential arises from the matrix model measure.

9 pages; v2: published version

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• Phases of N=1 Supersymmetric SO/Sp Gauge Theories via Matrix Model
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• Note on Matrix Model with Massless Flavors
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• N=2 Supersymmetric SO(N)/Sp(N) Gauge Theories from Matrix Model
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• Aspects of Supersymmetric Gauge Theory and String Theory
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