Built on

A. A. Belavin, A. M. Polyakov and A. B. Zamolodchikov, “Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory,” Nucl. Phys. B 241
1984
Earlier work this paper cites.
P. Bowcock and G. M. T. Watts, “Null vectors of the W(3) algebra,” Phys. Lett. B 297
1992
Earlier work this paper cites.
N. A. Nekrasov, “Seiberg-Witten prepotential from instanton counting,” Adv. Theor. Math. Phys. 7
2004
Earlier work this paper cites.
A. Zamolodchikov, “Higher equations of motion in Liouville field theory,” Int. J. Mod. Phys. A 19S2
2004
Earlier work this paper cites.
V. A. Fateev and A. V. Litvinov, “Correlation functions in conformal Toda field theory. I.,” JHEP 0711
Original
2007
Earlier work this paper cites.

Similar

N. Wyllard, “A(N-1) conformal Toda field theory correlation functions from conformal N = 2 SU(N) quiver gauge theories,” JHEP 0911
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2009
Cited alongside, same era.
A. Mironov and A. Morozov, Phys. Lett. B 680
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2009
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L. F. Alday, D. Gaiotto and Y. Tachikawa, “Liouville Correlation Functions from Four-dimensional Gauge Theories,” Lett. Math. Phys. 91
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2010
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R. Santachiara and A. Tanzini, Phys. Rev. D 82
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Then

V. Belavin and B. Feigin, “Super Liouville conformal blocks from N=2 SU(2) quiver gauge theories,” JHEP 1107
Original
2011
Later among the works it cites.
V. A. Alba, V. A. Fateev, A. V. Litvinov and G. M. Tarnopolskiy, “On combinatorial expansion of the conformal blocks arising from AGT conjecture,” Lett. Math. Phys. 98
Original
2011
Later among the works it cites.
V. A. Fateev and A. V. Litvinov, “Integrable structure, W-symmetry and AGT relation,” JHEP 1201
Original
2012
Later among the works it cites.
B. Estienne, V. Pasquier, R. Santachiara and D. Serban, “Conformal blocks in Virasoro and W theories: Duality and the Calogero-Sutherland model,” Nucl. Phys. B 860
Original
2012
Later among the works it cites.
S. Mironov, And. Morozov and Y. Zenkevich, “Generalized Jack polynomials and the AGT relations for the S U ( 3 ) SU(3) group,” JETP Lett. 99

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2014

Conformal blocks of W_N Minimal Models and AGT correspondence

Alkalaev, K. B., Belavin, V. A.

Understand

We study the AGT correspondence between four-dimensional supersymmetric gauge field theory and two-dimensional conformal field theories in the context of W_N minimal models.

The origin of the AGT correspondence is in a special integrable structure which appears in the properly extended conformal theory.
One of the basic manifestations of this integrability is the special orthogonal basis which arises in the extended theory.
We propose modification of the AGT representation for the W_N conformal blocks in the minimal models.

Built on

A. A. Belavin, A. M. Polyakov and A. B. Zamolodchikov, “Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory,” Nucl. Phys. B 241
1984
Earlier work this paper cites.
P. Bowcock and G. M. T. Watts, “Null vectors of the W(3) algebra,” Phys. Lett. B 297
1992
Earlier work this paper cites.
N. A. Nekrasov, “Seiberg-Witten prepotential from instanton counting,” Adv. Theor. Math. Phys. 7
2004
Earlier work this paper cites.
A. Zamolodchikov, “Higher equations of motion in Liouville field theory,” Int. J. Mod. Phys. A 19S2
2004
Earlier work this paper cites.
V. A. Fateev and A. V. Litvinov, “Correlation functions in conformal Toda field theory. I.,” JHEP 0711
Original
2007
Earlier work this paper cites.