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2010

The matrix model version of AGT conjecture and CIV-DV prepotential

Morozov, A., Shakirov, Sh.

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Recently exact formulas were provided for partition function of conformal (multi-Penner) beta-ensemble in the Dijkgraaf-Vafa phase, which, if interpreted as Dotsenko-Fateev correlator of screenings and analytically continued in the number of screening insertions, represents generic Virasoro conformal blocks.

Actually these formulas describe the lowest terms of the q_a-expansion, where q_a parameterize the shape of the Penner potential, and are exact in the filling 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 check that the two expansions coincide in the overlapping region, i.e.

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Vl.Dotsenko and V.Fateev, Nucl.Phys. B240
1990
Earlier work this paper cites.
A.Marshakov, A.Mironov, and A.Morozov, Phys.Lett. B265
1993
Earlier work this paper cites.
M. L. Mehta, Random matrices
Original
1994
Earlier work this paper cites.
N.Seiberg and E.Witten, Nucl.Phys., B426
1996
Earlier work this paper cites.
A.Gorsky, I.Krichever, A.Marshakov, A.Mironov, A.Morozov, Phys.Lett., B355
1998
Earlier work this paper cites.
N.Nekrasov, Adv.Theor.Math.Phys. 7
2000
Earlier work this paper cites.

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Later among the works it cites.
V.Dolotin and A.Morozov, Introduction to Non-Linear Algebra , World Scientific, 2007, hep-th/0609022 A.Morozov and Sh.Shakirov, JHEP 0912:002,2009, arXiv:0903.2595; arXiv:0911.5278 U.Svensson, arXiv:0912.3172 K.Fujii, arXiv:0905.1363, arXiv:0912.2135
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Later among the works it cites.
L.Alday, D.Gaiotto and Y.Tachikawa, Lett.Math.Phys. 91
Original
2010
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A.Mironov, A.Morozov and Sh.Shakirov, JHEP 1002
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2010
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E. Witten, Commun. Math. Phys. 121 (1989) 351 L. D. Faddeev and R. M. Kashaev, Mod.Phys.Lett. A9 (1994) 427-434, arXiv:hep-th/9310070 R.M. Kashaev, Lett. Math. Phys. 39 (1997) no. 3, 269-275, arXiv:q-alg/9601025 H. Murakami and J. Murakami, Acta Math. 186 (2001) no. 1, 85-104, arXiv:math/9905075 R.Dijkgraaf and H.Fuju, arXiv:0903.2084 L. F. Alday, D. Gaiotto, S. Gukov, Y. Tachikawa and H. Verlinde, JHEP 1001

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