Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-09-24
JHEP 1003:089,2010
Physics
High Energy Physics
High Energy Physics - Theory
32 pages
Scientific paper
10.1007/JHEP03(2010)089
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.
Kapustin A. A.
Willett Brian
Yaakov Itamar
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