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Title of Journal: J High Energ Phys

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Abbravation: Journal of High Energy Physics

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Springer-Verlag

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10.1007/bf02989915

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1029-8479

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Line operators on S1 times mathbbR

Authors: Yuto Ito Takuya Okuda Masato Taki
Publish Date: 2012/04/03
Volume: 2012, Issue: 4, Pages: 10-
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Abstract

We perform an exact localization calculation for the expectation values of Wilson’t Hooft line operators in mathcalN = 2 gauge theories on S1 times mathbbR3 The expectation values are naturally expressed in terms of the complexified FenchelNielsen 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 SUN examples

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