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Journal of High Energy Physics

, 2010:125 | Cite as

Five-dimensional AGT conjecture and the deformed Virasoro algebra

  • Hidetoshi AwataEmail author
  • Yasuhiko Yamada
Article

Abstract

We study an analog of the AGT (Alday-Gaiotto-Tachikawa) relation in five dimensions. We conjecture that the instanton partition function of 5D \( \mathcal{N} = 1 \) 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.

Keywords

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

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Copyright information

© SISSA, Trieste, Italy 2010

Authors and Affiliations

  1. 1.Graduate School of MathematicsNagoya UniversityNagoyaJapan
  2. 2.Department of Mathematics, Faculty of ScienceKobe UniversityHyogoJapan

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