# 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} }

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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