Mathematics – Quantum Algebra
Scientific paper
2010-05-03
J.Math.Phys.51:123506,2010
Mathematics
Quantum Algebra
16 pages. Typos corrected
Scientific paper
10.1063/1.3505826
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.
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