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

作者: Anton Kapustin , Brian Willett , Itamar Yaakov

DOI: 10.1007/JHEP03(2010)089

关键词: Gauge group3D mirror symmetryPhysicsAdS/CFT correspondenceSupersymmetric gauge theoryPartition function (mathematics)Chern–Simons theorySupersymmetrySymmetry (physics)Mathematical physics

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

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