Five-dimensional AGT relation and the deformed β-ensemble

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Abstract

We discuss an analog of the AGT relation in five dimensions. We define a q-deformation of the β-ensemble which satisfies q-WN constraint. We also show a relation with the Nekrasov partition function of 5D SU(N) gauge theory with Nf = 2N.

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Awata, H., & Yamada, Y. (2010). Five-dimensional AGT relation and the deformed β-ensemble. Progress of Theoretical Physics, (2), 227–262. https://doi.org/10.1143/PTP.124.227

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