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Discrete and oscillatory matrix models in Chern-Simons theory

Accepted version
Peer-reviewed

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Type

Article

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Authors

de Haro, S 
Tierz, M 

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.

Description

Keywords

hep-th, hep-th, math-ph, math.MP

Journal Title

Nuclear Physics B

Conference Name

Journal ISSN

0550-3213
1873-1562

Volume Title

731

Publisher

Elsevier BV