The uses of the refined matrix model recursion

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  • Observatoire de l'Université de Genève


We study matrix models in the β-ensemble by building on the refined recursion relation proposed by Chekhov and Eynard. We present explicit results for the first β-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 β-deformation of the Chern-Simons matrix model. Our results indicate that this model does not provide an appropriate description of the Ω-deformed topological string on the resolved conifold, and therefore that the β-deformation might provide a different generalization of topological string theory in toric Calabi-Yau backgrounds.


Original languageEnglish
Article number052305
Number of pages24
JournalJournal of Mathematical Physics
Issue number5
Publication statusPublished - 2 May 2011