English

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

Quantum Algebra 2010-12-23 v2 High Energy Physics - Theory

Abstract

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.

Keywords

Cite

@article{arxiv.1005.0216,
  title  = {Five-dimensional SU(2) AGT conjecture and recursive formula of deformed Gaiotto state},
  author = {Shintarou Yanagida},
  journal= {arXiv preprint arXiv:1005.0216},
  year   = {2010}
}

Comments

16 pages. Typos corrected