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Wilson loops in supersymmetric Chern-Simons-matter theories and duality

Kapustin, Anton and Willett, Brian (2013) Wilson loops in supersymmetric Chern-Simons-matter theories and duality. . (Submitted)

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We study the algebra of BPSWilson loops in 3d gauge theories with N = 2 supersymmetry and Chern-Simons terms. We argue that new relations appear on the quantum level, and that in many cases this makes the algebra finite-dimensional. We use our results to propose the mapping of Wilson loops under Seiberg-like dualities and verify that the proposed map agrees with the exact results for expectation values of circular Wilson loops. In some cases we also relate the algebra of Wilson loops to the equivariant quantum K-ring of certain quasi projective varieties. This generalizes the connection between the Verlinde algebra and the quantum cohomology of the Grassmannian found by Witten.

Item Type:Report or Paper (Discussion Paper)
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URLURL TypeDescription Paper
Kapustin, Anton0000-0003-3903-5158
Additional Information:(Submitted on 8 Feb 2013). A.K. would like to thank Kentaro Hori for a useful discussion which contributed to our understanding of section 7. The work of A.K. was supported in part by the DOE grant DE-FG02-92ER40701, and that of B.W. was supported by DOE grant DE-FG02-90ER40542.
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG02-92ER40701
Department of Energy (DOE)DE-FG02-90ER40542
Record Number:CaltechAUTHORS:20160504-094028479
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:66635
Deposited By: Ruth Sustaita
Deposited On:04 May 2016 21:08
Last Modified:03 Oct 2019 09:58

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