4.2 Article

Liouville Correlation Functions from Four-Dimensional Gauge Theories

Journal

LETTERS IN MATHEMATICAL PHYSICS
Volume 91, Issue 2, Pages 167-197

Publisher

SPRINGER
DOI: 10.1007/s11005-010-0369-5

Keywords

conformal field theory; gauge theory

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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.

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