Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Power of Nekrasov Functions   The recent AGT suggestion to use the set of Nekrasov functions as a basis for
a linear decomposition of generic conformal blocks works very well not only in
the case of Virasoro symmetry, but also for conformal theories with extended
chiral algebra. This is rather natural, because Nekrasov functions are
introduced as expansion basis for generalized hypergeometric integrals, very
similar to those which arise in expansion of Dotsenko-Fateev integrals in
powers of alpha-parameters. Thus, the AGT conjecture is closely related to the
old belief that conformal theory can be effectively described in the free field
formalism, and it can actually be a key to clear formulating and proof this
long-standing hypothesis. As an application of this kind of reasoning we use
knowledge of the exact hypergeometric conformal block for complete proof of the
AGT relation for a restricted class of external states.

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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: q-alg