Journal
JOURNAL OF MATHEMATICAL PHYSICS
Volume 52, Issue 5, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.3587063
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Funding
- Fonds National Suisse (FNS)
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We study matrix models in the beta-ensemble by building on the refined recursion relation proposed by Chekhov and Eynard. We present explicit results for the first beta-deformed corrections in the one-cut and the two-cut cases, as well as two applications to supersymmetric gauge theories: the calculation of superpotentials in N = 1 gauge theories, and the calculation of vevs of surface operators in superconformal N = 2 theories and their Liouville duals. Finally, we study the beta-deformation of the Chern-Simons matrix model. Our results indicate that this model does not provide an appropriate description of the Omega-deformed topological string on the resolved conifold, and therefore that the beta-deformation might provide a different generalization of topological string theory in toric Calabi-Yau backgrounds. (C) 2011 American Institute of Physics. [doi:10.1063/1.3587063]
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