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arXiv · 0912.4789

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

Masato Taki
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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.

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Masato Taki. 2009-12-24. On AGT Conjecture for Pure Super Yang-Mills and W-algebra. https://doi.org/10.1007/jhep05(2011)038

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