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AGT correspondence gives an explicit expressions for the conformal blocks of $d=2$ conformal field theory.
B. L. Feigin and D. Fuks, Verma modules over Virasoro algebra
1983
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Al.Zamolodchikov, Conformal Symmetry In Two-Dimensions: An Explicit Recurrence Formula For The Conformal Partial Wave Amplitude
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A. Mironov, A. Morozov, Sh. Shakirov, Towards a proof of AGT conjecture by methods of matrix models
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E. Carlsson and A. Okounkov, EXTS and vertex operators
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2010
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T. Eguchi and K. Maruyoshi, Penner Type Matrix Model and Seiberg-Witten Theory
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L. F. Alday and Y. Tachikawa, Affine S L ( 2 ) SL(2) conformal blocks from 4d gauge theories
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B. L.Feigin, The talks in Moscow Independent University and Landau Institute
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