Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Construction of Gaiotto states with fundamental multiplets through
  Degenerate DAHA   We construct Gaiotto states with fundamental multiplets in $SU(N)$ gauge
theories, in terms of the orthonormal basis of spherical degenerate double
affine Hecke algebra (SH in short), the representations of which are equivalent
to those of $W_n$ algebra with additional $U(1)$ current. The generalized
Whittaker conditions are demonstrated under the action of SH, and further
rewritten in terms of $W_n$ algebra. Our approach not only consists with the
existing literature but also holds for general $SU(N)$ case.

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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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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: patt-sol
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The categories of this paper are: econ