Liouville Correlation Functions from Four-dimensional Gauge Theories

Abstract

We conjecture an expression for the Liouville theory conformal blocks and correlation functions on a Riemann surface of genus g and n punctures as the Nekrasov partition function of a certain class of N=2 SCFTs recently defined by one of the authors. We conduct extensive tests of the conjecture at genus 0,1.

32 pages, 8 figures; v2: minor corrections, published version