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Five-dimensional AGT Conjecture and the Deformed Virasoro Algebra · Around

2009

Five-dimensional AGT Conjecture and the Deformed Virasoro Algebra

Awata, Hidetoshi, Yamada, Yasuhiko

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We study an analog of the AGT relation in five dimensions.

We conjecture that the instanton partition function of 5D N=1 pure SU(2) gauge theory coincides with the inner product of the Gaiotto-like state in the deformed Virasoro algebra.
In four dimensional case, a relation between the Gaiotto construction and the theory of Braverman and Etingof is also discussed.

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