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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