Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: AGT basis in SCFT for c=3/2 and Uglov Polynomials   AGT allows one to compute conformal blocks of d = 2 CFT for a large class of
chiral CFT algebras. This is related to the existence of a certain orthogonal
basis in the module of the (extended) chiral algebra. The elements of the basis
are eigenvectors of a certain integrable model, labeled in general by N-tuples
of Young diagrams. In particular, it was found that in the Virasoro case these
vectors are expressed in terms of Jack polynomials, labeled by 2-tuples of
ordinary Young diagrams, and for the super-Virasoro case they are related to
Uglov polynomials, labeled by two colored Young diagrams. In the case of a
generic central charge this statement was checked in the case when one of the
Young diagrams is empty. In this note we study the N=1 SCFT and construct 4
point correlation function using the basis. To this end we need to clarify the
connection between basis elements and Uglov polynomials, we also need to use
two bosonizations and their connection to the reflection operator. For the
central charge $c=3/2$ we checked that there is a connection with the Uglov
polynomials for the whole set of diagrams.

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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys