1205.6820 (Junya Yagi)

Compactification on the Ω-background and the AGT correspondence    [PDF]

Junya Yagi

The six-dimensional (2,0) theory formulated in the \Omega-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 a W-algebra, precisely of the type suggested by the AGT correspondence. We show that the W-algebra has the conjectured relations to the chiral ring and the Seiberg-Witten curve of the four-dimensional side of the correspondence.

View original: http://arxiv.org/abs/1205.6820