Exact results for Wilson loops in superconformal ChernSimons theories with matter
Abstract
We use localization techniques to compute the expectation values of supersymmetric Wilson loops in ChernSimons theories with matter. We find the pathintegral reduces to a nonGaussian matrix model. The Wilson loops we consider preserve a single complex supersymmetry, and exist in any mathcal{N}= 2 theory, though the localization requires superconformal symmetry. We present explicit results for the cases of pure ChernSimons 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 GaiottoWitten theories, BLG, and their variants.
 Publication:

Journal of High Energy Physics
 Pub Date:
 March 2010
 DOI:
 10.1007/JHEP03(2010)089
 arXiv:
 arXiv:0909.4559
 Bibcode:
 2010JHEP...03..089K
 Keywords:

 Supersymmetric gauge theory;
 Matrix Models;
 AdSCFT Correspondence;
 ChernSimons Theories;
 High Energy Physics  Theory
 EPrint:
 32 pages