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The uses of the refined matrix model recursion

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Published in Journal of Mathematical Physics. 2011, vol. 52, no. 5, p. 052305
Abstract 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=1gauge theories, and the calculation of vevs of surface operators in superconformal N=2theories 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.
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BRINI, Andréa, MARINO BEIRAS, Marcos, STEVAN, Sébastien. The uses of the refined matrix model recursion. In: Journal of Mathematical Physics, 2011, vol. 52, n° 5, p. 052305. https://archive-ouverte.unige.ch/unige:34923

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Deposited on : 2014-03-24

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