Virasoro constraint for Nekrasov instanton partition function

Abstract

We show that Nekrasov instanton partition function for SU(N) gauge theories satisfies recursion relations in the form of U(1)+Virasoro constraints when β = 1. The constraints give a direct support for AGT conjecture for general quiver gauge theories.

23 pages, 7 figures. v2: typos corrected

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• Towards R-matrix construction of Khovanov-Rozansky polynomials. I. Primary $T$-deformation of HOMFLY
• A slow review of the AGT correspondence
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• A note on the algebraic engineering of 4D $\mathcal{N}=2$ super Yang-Mills theories
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• Confinement and Mayer cluster expansions
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