Discrete and oscillatory Matrix Models in Chern-Simons theory

de Haro, Sebastian; Tierz, Miguel

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Discrete and oscillatory Matrix Models in Chern-Simons theory

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de Haro, Sebastian
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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de Haro, S., & Tierz, M. (2005). Discrete and oscillatory Matrix Models in Chern-Simons theory. Nuclear Physics B, 731(3), 225-241.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4D88-2

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 equivalence 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.