English

Effective matter superpotentials from Wishart random matrices

High Energy Physics - Theory 2009-11-07 v2 High Energy Physics - Phenomenology

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.

Cite

@article{arxiv.hep-th/0211082,
  title  = {Effective matter superpotentials from Wishart random matrices},
  author = {Yves Demasure and Romuald A. Janik},
  journal= {arXiv preprint arXiv:hep-th/0211082},
  year   = {2009}
}

Comments

9 pages; v2: published version

R2 v1 2026-07-22T15:14:04.636Z