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Five-dimensional SU(2) AGT conjecture and recursive formula of deformed Gaiotto state

This note deals with the five-dimensional pure SU(2) AGT conjecture proposed by Awata and Yamada. We give a conjecture on a recursive formula for the inner product of the deformed Gaiotto state. We also show that the K-theoretic pure SU(2) Nekrasov partition function satisfies the same recursion relation. Therefore the five-dimensional AGT conjecture is reduced to our conjectural recursive formula.

preprint2010arXivOpen access
Shintarou Yanagida
math.QAhep-th
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Shintarou Yanagida

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