On AGT Conjecture for Pure Super Yang-Mills and W-algebra

Details On AGT Conjecture for Pure Super Yang-Mills and W-algebra On AGT Conjecture for Pure Super Yang-Mills and W-algebra

2009-12-24

arxiv.org/abs/0912.4789v1

JHEP 1105:038,2011

Physics

High Energy Physics

High Energy Physics - Theory

22 pages

Scientific paper

10.1007/JHEP05(2011)038

Recently Alday, Gaiotto and Tachikawa have proposed relation between 2- and 4-dimensional conformal field theories. The relation implies that the Nekrasov partition functions of N=2 superconformal gauge theories are equal to conformal blocks associated with the conformal algebra. Likewise, a counterpart in pure super Yang-Mills theory exists in conformal field theory. We propose a simple relation between the Shapovalov matrix of the W_3-algebra and the Nekrasov partition function of N=2 SU(3) Yang-Mills theory.

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