%0 Journal Article %1 Kapustin2010Exact %A Kapustin, Anton %A Willett, Brian %A Yaakov, Itamar %D 2010 %J Journal of High Energy Physics %K chern-simons, localization %N 3 %R 10.1007/jhep03(2010)089 %T Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter %U http://dx.doi.org/10.1007/jhep03(2010)089 %V 2010 %X 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.

@article{Kapustin2010Exact, abstract = {{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.}}, added-at = {2019-02-26T10:37:35.000+0100}, archiveprefix = {arXiv}, author = {Kapustin, Anton and Willett, Brian and Yaakov, Itamar}, biburl = {https://www.bibsonomy.org/bibtex/298eaf692047f531e1186e8e9d0af472e/acastro}, citeulike-article-id = {13688969}, citeulike-linkout-0 = {http://arxiv.org/abs/0909.4559}, citeulike-linkout-1 = {http://arxiv.org/pdf/0909.4559}, citeulike-linkout-2 = {http://dx.doi.org/10.1007/jhep03(2010)089}, day = 17, doi = {10.1007/jhep03(2010)089}, eprint = {0909.4559}, interhash = {3cd3e8caf8963570ed553b2bbefaec1d}, intrahash = {98eaf692047f531e1186e8e9d0af472e}, issn = {1029-8479}, journal = {Journal of High Energy Physics}, keywords = {chern-simons, localization}, month = dec, number = 3, posted-at = {2015-07-29 16:23:25}, priority = {2}, timestamp = {2019-02-26T10:37:35.000+0100}, title = {{Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter}}, url = {http://dx.doi.org/10.1007/jhep03(2010)089}, volume = 2010, year = 2010 }