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Liouville Correlation Functions from Four-Dimensional Gauge Theories

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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.

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Authors and Affiliations

  1. School of Natural Sciences, Institute for Advanced Study, Princeton, NJ, 08540, USA

    Luis F. Alday, Davide Gaiotto & Yuji Tachikawa

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  1. Luis F. Alday
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  2. Davide Gaiotto
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  3. Yuji Tachikawa
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Correspondence to Yuji Tachikawa.

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Alday, L.F., Gaiotto, D. & Tachikawa, Y. Liouville Correlation Functions from Four-Dimensional Gauge Theories. Lett Math Phys 91, 167–197 (2010). https://doi.org/10.1007/s11005-010-0369-5

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  • DOI: https://doi.org/10.1007/s11005-010-0369-5

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