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 http://resolver.caltech.edu/CaltechAUTHORS:20100526-081247508
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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.
|Additional Information:||© SISSA 2010. Received: 30 November 2009. Revised: 23 February 2010. Accepted: 1 March 2010. Published online: 17 March 2010.|
|Subject Keywords:||Supersymmetric gauge theory; Matrix Models; AdS-CFT Correspondence; Chern-Simons Theories|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Tony Diaz|
|Deposited On:||19 Jun 2010 01:45|
|Last Modified:||06 Mar 2013 05:57|
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