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On the six-dimensional origin of the AGT correspondence

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Abstract

We argue that the six-dimensional (2, 0) superconformal theory defined on M × C, with M being a four-manifold and C a Riemann surface, can be twisted in a way that makes it topological on M and holomorphic on C. Assuming the existence of such a twisted theory, we show that its chiral algebra contains a W-algebra when M = R4, possibly in the presence of a codimension-two defect operator supported on R2 × C ⊂ M × C. We expect this structure to survive the Ω-deformation.

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  1. Department of Mathematics, University of Hamburg, Bundesstrasse 55, 20146, Hamburg, Germany

    Junya Yagi

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  1. Junya Yagi
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Correspondence to Junya Yagi.

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ArXiv ePrint: 1112.0260

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Yagi, J. On the six-dimensional origin of the AGT correspondence. J. High Energ. Phys. 2012, 20 (2012). https://doi.org/10.1007/JHEP02(2012)020

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