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Conformal blocks as Dotsenko-Fateev Integral Discriminants · Around

2010

Conformal blocks as Dotsenko-Fateev Integral Discriminants

Mironov, A., Morozov, A., Shakirov, Sh.

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As anticipated in [1], elaborated in [2-4], and explicitly formulated in [5], the Dotsenko-Fateev integral discriminant coincides with conformal blocks, thus providing an elegant approach to the AGT conjecture, without any reference to an auxiliary subject of Nekrasov functions.

Internal dimensions of conformal blocks in this identification are associated with the choice of contours: parameters of the DV phase of the corresponding matrix models.
In this paper we provide further evidence in support of this identity for the 6-parametric family of the 4-point spherical conformal blocks, up to level 3 and for arbitrary values of external dimensions and central charges.
We also extend this result to multi-point spherical functions and comment on a similar description of the 1-point function on a torus.

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J.-F.Wu and Y.Zhou, arXiv:0911.1922
Original
1922
Earlier work this paper cites.
G.Giribet, arXiv:0912.1930
Original
1930
Earlier work this paper cites.
A.Selberg, Norsk. Mat. Tisdskr. 24
Original
1944
Earlier work this paper cites.
Vl.Dotsenko and V.Fateev, Nucl.Phys. B240
1984
Earlier work this paper cites.
D.Nanopoulos and D.Xie, arXiv:0911.1990
Original
1990
Earlier work this paper cites.
A.Gerasimov, A.Marshakov, A.Morozov, M.Olshanetsky, S. Shatashvili, Int.J.Mod.Phys. A5
1990
Earlier work this paper cites.
A.Marshakov, A.Mironov, and A.Morozov, Phys.Lett. B265
1993
Earlier work this paper cites.
N.Seiberg and E.Witten, Nucl.Phys., B426
1994
Earlier work this paper cites.
P.Di Francesco, M.Gaudin, C.Itzykson and F.Lesage, Int.J.Mod.Phys. A9
Original
1994
Earlier work this paper cites.

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