Liouville Correlation Functions from Four-Dimensional Gauge Theories

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 SCFTs recently defined by one of the authors. We conduct extensive tests of the conjecture at genus...

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Bibliographic Details
Published inLetters in mathematical physics Vol. 91; no. 2; pp. 167 - 197
Main Authors Alday, Luis F., Gaiotto, Davide, Tachikawa, Yuji
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.02.2010
Subjects
Complex Systems
Geometry
Group Theory and Generalizations
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
gauge theory
81T60
conformal field theory
81T40
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Summary: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 SCFTs recently defined by one of the authors. We conduct extensive tests of the conjecture at genus 0, 1.
ISSN:0377-9017
1573-0530
DOI:10.1007/s11005-010-0369-5