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Exact results for Wilson loops in superconformal Chern-Simons theories with matter

Kapustin, Anton and Willett, Brian and Yaakov, Itamar (2010) Exact results for Wilson loops in superconformal Chern-Simons theories with matter. Journal of High Energy Physics, 2010 (3). Art. No. 089. ISSN 1126-6708. doi:10.1007/JHEP03(2010)089.

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We use localization techniques to compute the expectation values of supersymmetric Wilson loops in Chern-Simons theories with matter. We find the path-integral reduces to a non-Gaussian matrix model. The Wilson loops we consider preserve a single complex supersymmetry, and exist in any N = 2 theory, though the localization requires superconformal symmetry. We present explicit results for the cases of pure Chern-Simons theory with gauge group U(N), showing agreement with the known results, and ABJM, showing agreement with perturbative calculations. Our method applies to other theories, such as Gaiotto-Witten theories, BLG, and their variants.

Item Type:Article
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URLURL TypeDescription DOIArticle Paper
Kapustin, Anton0000-0003-3903-5158
Additional Information:© SISSA 2010. Received: 30 November 2009. Revised: 23 February 2010. Accepted: 1 March 2010. Published online: 17 March 2010.
Group:Caltech Theory
Subject Keywords:Supersymmetric gauge theory; Matrix Models; AdS-CFT Correspondence; Chern-Simons Theories
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Issue or Number:3
Record Number:CaltechAUTHORS:20100526-081247508
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:18443
Deposited By: Tony Diaz
Deposited On:19 Jun 2010 01:45
Last Modified:08 Nov 2021 23:44

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