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Liouville Correlation Functions from Four-Dimensional Gauge Theories

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Alday, Luis F., Gaiotto, Davide, Tachikawa, Yuji·2010·Letters in Mathematical Physics

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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Metadata

Authors
Alday, L. F., Gaiotto, D., & Tachikawa, Y.
Venue
Letters in Mathematical Physics
Published
2010-01-22
Volume
91
Issue
2
Pages
167-197
ISSN
  • 0377-9017 (ISSN-L)
  • 1573-0530
OpenAlex
W2107702031
Cited by
1,501
References
0
FWCI
73.36
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Liouville Correlation Functions from Four-Dimensional Gauge Theories. https://app.cochat.ai/papers/10.1007/s11005-010-0369-5
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Alday, L. F., Gaiotto, D., & Tachikawa, Y. (2010). Liouville Correlation Functions from Four-Dimensional Gauge Theories. Letters in Mathematical Physics. https://doi.org/10.1007/s11005-010-0369-5

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