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Effective matter superpotentials from Wishart random matrices

Yves Demasure·Romuald A. Janik
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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.

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Yves Demasure, Romuald A. Janik. 2003-09-14. Effective matter superpotentials from Wishart random matrices. https://doi.org/10.1016/s0370-2693(02)03189-1

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