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arXiv · 1112.0260

On the six-dimensional origin of the AGT correspondence

Junya Yagi
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Abstract

We argue that the six-dimensional (2,0) superconformal theory defined on M \times 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 = R^4, possibly in the presence of a codimension-two defect operator supported on R^2 \times C \subset M \times C. We expect this structure to survive the Ω-deformation.

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Junya Yagi. 2012-03-02. On the six-dimensional origin of the AGT correspondence. https://doi.org/10.1007/jhep02(2012)020

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