English

Liouville Correlation Functions from Four-dimensional Gauge Theories

High Energy Physics - Theory 2010-02-11 v2

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.

Keywords

Cite

@article{arxiv.0906.3219,
  title  = {Liouville Correlation Functions from Four-dimensional Gauge Theories},
  author = {Luis F. Alday and Davide Gaiotto and Yuji Tachikawa},
  journal= {arXiv preprint arXiv:0906.3219},
  year   = {2010}
}

Comments

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

R2 v1 2026-06-21T13:14:24.345Z