Liouville Correlation Functions from Four-Dimensional Gauge Theories
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
- arXiv:
- arXiv:0906.3219
- Bibcode:
- 2010LMaPh..91..167A
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 32 pages, 8 figures