Compactification on the Ω-background and the AGT correspondence
arXiv:1205.6820 · doi:10.1007/JHEP09(2012)101
Abstract
The six-dimensional (2,0) theory formulated in the Ω-background gives rise to two-dimensional effective degrees of freedom. By compactifying the theory on the circle fibers of two cigar-like manifolds, we find that a natural candidate for the effective theory is a chiral gauged WZW model. The symmetry algebra of the model contains the W-algebra that appears on the two-dimensional side of the AGT correspondence. We show that the expectation values of its currents determine the Seiberg-Witten curve of the four-dimensional side.
20 pages. v2: minor improvements. v3: published version. v4: minor correction
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- Quiver gauge theories and integrable lattice models
- BPS States in the Duality Web of the Omega deformation
- Twisted holography of defect fusions
- The trouble with twisting (2,0) theory
- R-matrices and Miura operators in 5d Chern-Simons theory
- Generalized Toda Theory from Six Dimensions and the Conifold
- A stringy perspective on the quantum integrable model/gauge correspondence
- Dual infrared limits of 6d =(2,0) theory