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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 164, Number 1, Pages 3–27
DOI: https://doi.org/10.4213/tmf6521
(Mi tmf6521)
 

This article is cited in 41 scientific papers (total in 41 papers)

Combinatorial expansions of conformal blocks

A. V. Marshakovab, A. D. Mironovab, A. Yu. Morozovb

a Lebedev Physical Institute, RAS, Moscow, Russia
b Institute for Theoretical and Experimental Physics, Moscow, Russia
References:
Abstract: A representation of Nekrasov partition functions in terms of a nontrivial two-dimensional conformal field theory was recently suggested. For a nonzero value of the deformation parameter $\epsilon=\epsilon_1+\epsilon_2$, the instanton partition function is identified with a conformal block of the Liouville theory with the central charge $c=1+6\epsilon^2/\epsilon_1\epsilon_2$. The converse of this observation means that the universal part of conformal blocks, which is the same for all two-dimensional conformal theories with nondegenerate Virasoro representations, has a nontrivial decomposition into a sum over Young diagrams that differs from the natural decomposition studied in conformal field theory. We provide some details about this new nontrivial correspondence in the simplest case of the four-point correlation functions.
Keywords: conformal theory, Seiberg–Witten theory, Nekrasov partition function.
Received: 04.11.2009
English version:
Theoretical and Mathematical Physics, 2010, Volume 164, Issue 1, Pages 831–852
DOI: https://doi.org/10.1007/s11232-010-0067-6
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Marshakov, A. D. Mironov, A. Yu. Morozov, “Combinatorial expansions of conformal blocks”, TMF, 164:1 (2010), 3–27; Theoret. and Math. Phys., 164:1 (2010), 831–852
Citation in format AMSBIB
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  • This publication is cited in the following 41 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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