English

Discrete and oscillatory Matrix Models in Chern-Simons theory

High Energy Physics - Theory 2008-11-26 v2 Mathematical Physics math.MP

Abstract

We derive discrete and oscillatory Chern-Simons matrix models. The method is based on fundamental properties of the associated orthogonal polynomials. As an application, we show that the discrete model allows to prove and extend the recently found relationship between Chern-Simons theory and q-deformed 2dYM. In addition, the equivalence of the Chern-Simons matrix models gives a complementary view on the equivalence of effective superpotentials in N=1 gauge theories.

Keywords

Cite

@article{arxiv.hep-th/0501123,
  title  = {Discrete and oscillatory Matrix Models in Chern-Simons theory},
  author = {Sebastian de Haro and Miguel Tierz},
  journal= {arXiv preprint arXiv:hep-th/0501123},
  year   = {2008}
}

Comments

17 pages, 6 figures; v2: minor corrections

R2 v1 2026-07-22T15:28:11.151Z