Line operators on S^1xR^3 and quantization of the Hitchin moduli space
High Energy Physics - Theory
2016-03-30 v3
Abstract
We perform an exact localization calculation for the expectation values of Wilson-'t Hooft line operators in N=2 gauge theories on S^1xR^3. The expectation values are naturally expressed in terms of the complexified Fenchel-Nielsen coordinates, and form a quantum mechanically deformed algebra of functions on the associated Hitchin moduli space by Moyal multiplication. We propose that these expectation values are the Weyl transform of the Verlinde operators, which act on Liouville/Toda conformal blocks as difference operators. We demonstrate our proposal explicitly in SU(N) examples.
Keywords
Cite
@article{arxiv.1111.4221,
title = {Line operators on S^1xR^3 and quantization of the Hitchin moduli space},
author = {Yuto Ito and Takuya Okuda and Masato Taki},
journal= {arXiv preprint arXiv:1111.4221},
year = {2016}
}
Comments
58 pages; v.2 minor corrections, references added; v.3 corrections corresponding to JHEP erratum