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This article is cited in 22 scientific papers (total in 22 papers)
Calculations in conformal theory needed for verifying the Alday–Gaiotto–Tachikawa hypothesis
A. D. Mironovab, S. A. Mironovcb, A. Yu. Morozovb, A. A. Morozovcb a Lebedev Physical Institute, RAS, Moscow, Russia
b Institute for Theoretical and Experimental Physics, Moscow
c Lomonosov Moscow State University, Moscow, Russia
Abstract:
Explicitly verifying the Alday–Gaiotto–Tachikawa (AGT) relation between the conformal blocks controlled by the $W_N$ symmetry and $U(N)$ Nekrasov functions requires knowing the Shapovalov matrix and various triple correlators for $W$-algebra descendants. We collect the simplest expressions of this type for $N=3$ and for the two lowest descendant levels together with the detailed derivations, which can now be computerized and used in more general studies of conformal blocks and AGT relations at higher levels.
Keywords:
two-dimensional conformal theory, supersymmetric gauge theory.
Citation:
A. D. Mironov, S. A. Mironov, A. Yu. Morozov, A. A. Morozov, “Calculations in conformal theory needed for verifying the Alday–Gaiotto–Tachikawa hypothesis”, TMF, 165:3 (2010), 503–542; Theoret. and Math. Phys., 165:3 (2010), 1662–1698
Linking options:
https://www.mathnet.ru/eng/tmf6590https://doi.org/10.4213/tmf6590 https://www.mathnet.ru/eng/tmf/v165/i3/p503
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Abstract page: | 659 | Full-text PDF : | 201 | References: | 76 | First page: | 20 |
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