Liouville Correlation Functions from Four-Dimensional Gauge Theories (original) (raw)

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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.

Publication:

Letters in Mathematical Physics

Pub Date:

February 2010

DOI:

10.1007/s11005-010-0369-5

10.48550/arXiv.0906.3219

arXiv:

arXiv:0906.3219

Bibcode:

2010LMaPh..91..167A

Keywords:

E-Print:

32 pages, 8 figures