Exact results for Wilson loops in superconformal Chern-Simons theories with matter
Exact results for Wilson loops in superconformal Chern-Simons theories with matter
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.
7b3c32cb-d169-4bd7-9aac-5309f2d4cb8c
Willett, B.
7a3f0b70-8048-4c54-b91f-5fed15f6e034
Yaakov, I.
5b9fd2e5-4b8a-4ee0-9b9e-ee38930a951e
2010
Kapustin, A.
7b3c32cb-d169-4bd7-9aac-5309f2d4cb8c
Willett, B.
7a3f0b70-8048-4c54-b91f-5fed15f6e034
Yaakov, I.
5b9fd2e5-4b8a-4ee0-9b9e-ee38930a951e
Kapustin, A., Willett, B. and Yaakov, I.
(2010)
Exact results for Wilson loops in superconformal Chern-Simons theories with matter.
Journal of High Energy Physics, [89 (2010)].
(doi:10.1007/JHEP03(2010)089).
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.
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Exact results for supersymmetric abelian vortex loops in 2 + 1 dimensions
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Published date: 2010
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Local EPrints ID: 477769
URI: http://eprints.soton.ac.uk/id/eprint/477769
ISSN: 1126-6708
PURE UUID: b1e52b21-fe6e-46ac-b971-388732024cb4
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Date deposited: 14 Jun 2023 16:37
Last modified: 17 Mar 2024 04:17
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Author:
A. Kapustin
Author:
B. Willett
Author:
I. Yaakov
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