Discrete and oscillatory Matrix Models in Chern-Simons theory

Details Discrete and oscillatory Matrix Models in Chern-Simons theory Discrete and oscillatory Matrix Models in Chern-Simons theory

2005-01-16

arxiv.org/abs/hep-th/0501123v2

Nucl.Phys.B731:225-241,2005

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 6 figures; v2: minor corrections

Scientific paper

10.1016/j.nuclphysb.2005.09.034

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.

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