# Liouville Correlation Functions from Four-Dimensional Gauge Theories

@article{Alday2010LiouvilleCF,
title={Liouville Correlation Functions from Four-Dimensional Gauge Theories},
author={Luis F. Alday and Davide Gaiotto and Yuji Tachikawa},
journal={Letters in Mathematical Physics},
year={2010},
volume={91},
pages={167-197}
}
• Published 17 June 2009
• Physics, Mathematics
• Letters in Mathematical Physics
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.
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