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Dijkgraaf-Vafa conjecture and β-deformed matrix models

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Abstract

We study the β-deformed matrix models using the method of refined topological string theory. The refined holomorphic anomaly equation and boundary conditions near the singular divisors of the underlying geometry fix the refined amplitudes recursively. We provide exact test of the quantum integrality conjecture in the Nekrasov-Shatashvili limit. We check the higher genus exact formulae with perturbative matrix model calculations.

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Authors and Affiliations

  1. Interdisciplinary Center for Theoretical Study, University of Science and Technology of China, Hefei, Anhui, 230026, China

    Min-xin Huang

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  1. Min-xin Huang
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Correspondence to Min-xin Huang.

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ArXiv ePrint: 1305.1103

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Huang, Mx. Dijkgraaf-Vafa conjecture and β-deformed matrix models. J. High Energ. Phys. 2013, 173 (2013). https://doi.org/10.1007/JHEP07(2013)173

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  • DOI: https://doi.org/10.1007/JHEP07(2013)173

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