English

On the six-dimensional origin of the AGT correspondence

High Energy Physics - Theory 2012-03-06 v4

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 \Omega-deformation.

Keywords

Cite

@article{arxiv.1112.0260,
  title  = {On the six-dimensional origin of the AGT correspondence},
  author = {Junya Yagi},
  journal= {arXiv preprint arXiv:1112.0260},
  year   = {2012}
}

Comments

References added. 14 pages