Liouville Correlation Functions from FourDimensional 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 {mathcal{N}=2} SCFTs recently defined by one of the authors. We conduct extensive tests of the conjecture at genus 0, 1.
 Publication:

Letters in Mathematical Physics
 Pub Date:
 February 2010
 DOI:
 10.1007/s1100501003695
 arXiv:
 arXiv:0906.3219
 Bibcode:
 2010LMaPh..91..167A
 Keywords:

 High Energy Physics  Theory
 EPrint:
 32 pages, 8 figures