Corpus ID: 119220905

# From Liouville to Chern-Simons, Alternative Realization of Wilson Loop Operators in AGT Duality

@article{Wu2009FromLT,
title={From Liouville to Chern-Simons, Alternative Realization of Wilson Loop Operators in AGT Duality},
author={Jian-feng Wu and Y. Zhou},
journal={arXiv: High Energy Physics - Theory},
year={2009}
}
• Published 2009
• Physics
• arXiv: High Energy Physics - Theory
We propose an SL(2,R) Chern-Simons description of Liouville field theory (LFT), whose correlation function duals to partition function of N=2 SU(2) gauge theories. We give the dual expressions for conformal blocks, fusion rules, and Wilson loop operators in Chern-Simons theory. By realizing Wilson loop operator in Liouville as a Hopf link in S^3 on which lives an SL(2,R) Chern-Simons theory, we obtain an alternative description of monodromy of this loop operator in Liouville field theory as the… Expand
30 Citations

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