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We study matrix models in the beta ensemble by building on the refined recursion relation proposed by Chekhov and Eynard.
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N. A. Nekrasov, “Seiberg-Witten Prepotential From Instanton Counting,” Adv. Theor. Math. Phys. 7
2004
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L. Chekhov and B. Eynard, “Matrix eigenvalue model: Feynman graph technique for all genera,” JHEP 0612
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L. Chekhov and B. Eynard, “Hermitean matrix model free energy: Feynman graph technique for all genera,” JHEP 0603
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B. Eynard, M. Mariño and N. Orantin, “Holomorphic anomaly and matrix models,” JHEP 0706
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M. x. Huang and A. Klemm, “Holomorphic anomaly in gauge theories and matrix models,” JHEP 0709
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M. Aganagic, V. Bouchard, A. Klemm, “Topological Strings and (Almost) Modular Forms,” Commun. Math. Phys. 277
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2010
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T. Eguchi, K. Maruyoshi, “Penner Type Matrix Model and Seiberg-Witten Theory,” JHEP 1002
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P. Sulkowski, “Matrix models for β \beta -ensembles from Nekrasov partition functions,” JHEP 1004
2010
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