On the six-dimensional origin of the AGT correspondence
arXiv:1112.0260 · doi:10.1007/JHEP02(2012)020
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.
References added. 14 pages
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Cited by in corpus (9)
- A slow review of the AGT correspondence
- M-Theoretic Derivations of 4d-2d Dualities: From a Geometric Langlands Duality for Surfaces, to the AGT Correspondence, to Integrable Systems
- Quiver gauge theories and integrable lattice models
- Compactification on the Ω-background and the AGT correspondence
- Higher AGT Correspondences, W-algebras, and Higher Quantum Geometric Langlands Duality from M-Theory
- Twisted holography of defect fusions
- Off-shell structure of twisted (2,0) theory
- The trouble with twisting (2,0) theory
- A note on W symmetry of N=2 gauge theory