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arxiv: 0906.3219 · v2 · submitted 2009-06-17 · ✦ hep-th

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Liouville Correlation Functions from Four-dimensional Gauge Theories

Luis F. Alday , Davide Gaiotto , Yuji Tachikawa
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classification ✦ hep-th
keywords conjecturecorrelationfunctionsgenusliouvilleauthorsblockscertain
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. On the monodromy of KZ-connections with irregular singularities

    hep-th 2026-03 unverdicted novelty 7.0

    KZ connections with irregular singularities have monodromies that realize topological invariants of links and tangles.

  2. On non-relativistic integrable models and 4d SCFTs

    hep-th 2026-04 unverdicted novelty 6.0

    Generalized Schur indices of N=2 class S theories are expressed using eigenfunctions of non-relativistic elliptic Calogero-Moser models, with extensions claimed for N=1 SCFTs via limits of models like Inozemtsev.