Dijkgraaf-Vafa conjecture and beta-deformed matrix models
arXiv:1305.1103 · doi:10.1007/JHEP07(2013)173
Abstract
We study the beta-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.
13 pages. v2: journal version
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