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

  • Anton Kapustin
  • Brian Willett
  • Itamar Yaakov
Article

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 \(\mathcal{N}= 2 \) 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.

Keywords

Supersymmetric gauge theory Matrix Models AdS-CFT Correspondence Chern-Simons Theories 

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Copyright information

© SISSA, Trieste, Italy 2010

Authors and Affiliations

  1. 1.California Institute of TechnologyPasadenaU.S.A.

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