%0 Journal Article %T Five-dimensional SU(2) AGT conjecture and recursive formula of deformed Gaiotto state %A Shintarou Yanagida %J Mathematics %D 2010 %I arXiv %R 10.1063/1.3505826 %X 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. %U http://arxiv.org/abs/1005.0216v2