4.4 Article

Five-dimensional AGT conjecture and the deformed Virasoro algebra

期刊

JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 1, 页码 -

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SPRINGER
DOI: 10.1007/JHEP01(2010)125

关键词

Quantum Groups; Field Theories in Higher Dimensions; Conformal Field Models in String Theory; Topological Strings

资金

  1. Japan Ministry of Education, Culture, Sports, Science and Technology [21340036]
  2. Daiko Foundation

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We study an analog of the AGT (Alday-Gaiotto-Tachikawa) 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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