2009/10/31 by Hidetoshi Awata, Yasuhiko Yamada · 1 citation
Physics and Astronomy · Mathematics · #hep-th #math.QA
paper · pdf · doi:10.1007/jhep01(2010)125
published as JHEP 1001:125,2010 · 12 pages, reference added, minor corrections (typos, notation changes, etc)
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.