Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extended Conformal Symmetry and Recursion Formulae for Nekrasov
  Partition Function   We derive an infinite set of recursion formulae for Nekrasov instanton
partition function for linear quiver U(N) supersymmetric gauge theories in 4D.
They have a structure of a deformed version of W_{1+\infty} algebra which is
called SH^c algebra (or degenerate double affine Hecke algebra) in the
literature. The algebra contains W_N algebra with general central charge
defined by a parameter \beta, which gives the $\Omega$ background in Nekrasov's
analysis. Some parts of the formulae are identified with the conformal Ward
identity for the conformal block function of Toda field theory.

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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: cs
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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: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph