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On AGT conjecture for pure super Yang-Mills and W-algebra

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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 \( \mathcal{N} = 2 \) 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 \( {\mathcal{W}_3} \)-algebra and the Nekrasov partition function of \( \mathcal{N} = 2 \) SU(3) Yang-Mills theory.

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Authors and Affiliations

  1. Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto, 606–8502, Japan

    Masato Taki

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  1. Masato Taki
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Correspondence to Masato Taki.

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ArXiv ePrint: 0912.4789

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Taki, M. On AGT conjecture for pure super Yang-Mills and W-algebra. J. High Energ. Phys. 2011, 38 (2011). https://doi.org/10.1007/JHEP05(2011)038

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  • DOI: https://doi.org/10.1007/JHEP05(2011)038

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