The matrix model version of AGT conjecture and CIV-DV prepotential - High Energy Physics - TheoryReportar como inadecuado




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Abstract: Recently exact formulas were provided for partition function of conformalmulti-Penner beta-ensemble in the Dijkgraaf-Vafa phase, which, if interpretedas Dotsenko-Fateev correlator of screenings and analytically continued in thenumber of screening insertions, represents generic Virasoro conformal blocks.Actually these formulas describe the lowest terms of the q a-expansion, whereq a parameterize the shape of the Penner potential, and are exact in thefilling numbers N a. At the same time, the older theory of CIV-DV prepotential,straightforwardly extended to arbitrary beta and to non-polynomial potentials,provides an alternative expansion: in powers of N a and exact in q a. We checkthat the two expansions coincide in the overlapping region, i.e. for the lowestterms of expansions in both q a and N a. This coincidence is somewhatnon-trivial, since the two methods use different integration contours:integrals in one case are of the B-function Euler-Selberg type, while in theother case they are Gaussian integrals.



Autor: A.Morozov, Sh.Shakirov

Fuente: https://arxiv.org/







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