Five-dimensional AGT Conjecture and the Deformed Virasoro Algebra

Details Five-dimensional AGT Conjecture and the Deformed Virasoro Algebra Five-dimensional AGT Conjecture and the Deformed Virasoro Algebra

2009-10-23

arxiv.org/abs/0910.4431v3

JHEP 1001:125,2010

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, reference added, minor corrections (typos, notation changes, etc)

Scientific paper

10.1007/JHEP01(2010)125

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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