On AGT Conjecture for Pure Super Yang-Mills and W-algebra
High Energy Physics - Theory
2011-05-12 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0912.4789,
title = {On AGT Conjecture for Pure Super Yang-Mills and W-algebra},
author = {Masato Taki},
journal= {arXiv preprint arXiv:0912.4789},
year = {2011}
}
Comments
22 pages