Speaker
Lorenzo Ruggeri
(Univ. Torino)
Description
Via AGT, observables of Pestun's 4d N=2 gauge theories on S^4 are known to reproduce correlators in Liouville theory. A natural question is whether a similar correspondence assigns a two-dimensional CFT to Pestun-like theories on more general compact four-manifolds. In this talk, I will answer this question affirmatively for a large class of compact toric manifolds. As a concrete example, I will show how the partition function on F_0 reproduces a four-point function in Liouville gravity. I will also discuss how four-point functions with one degenerate insertion are reproduced by the insertion of codimension two defects on F_0. Finally, I will consider general Hirzebruch surfaces and toric surfaces with more than four fixed points.