Exact SUSY Wilson loops on S-3 from q-Virasoro constraints

Using the ideas from the BPS/CFT correspondence, we give an explicit recur- sive formula for computing supersymmetric Wilson loop averages in 3d N = 2 Yang-Mills-Chern-Simons U(N) theory on the squashed sphere Sb3 with one adjoint chiral and two antichiral fundamental multiplets, for specific values...

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Bibliographic Details
Published in:Journal of High Energy Physics
Main Authors: Cassia, Luca, Lodin, Rebecca, Popolitov, Aleksandr, Zabzine, Maxim
Format: Article in Journal/Newspaper
Language:English
Published: Uppsala universitet, Teoretisk fysik 2019
Subjects:
Matrix Models
Wilson
't Hooft and Polyakov loops
Chern-Simons Theories
Supersymmetric Gauge Theory
Subatomic Physics
Subatomär fysik
South Pole
South pole
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-407286
https://doi.org/10.1007/JHEP12(2019)121
Description
Summary:Using the ideas from the BPS/CFT correspondence, we give an explicit recur- sive formula for computing supersymmetric Wilson loop averages in 3d N = 2 Yang-Mills-Chern-Simons U(N) theory on the squashed sphere Sb3 with one adjoint chiral and two antichiral fundamental multiplets, for specific values of Chern-Simons level kappa(2) and Fayet- Illiopoulos parameter kappa(1). For these values of kappa(1) and kappa(2) the north and south pole turn out to be completely independent, and therefore Wilson loop averages factorize into answers for the two constituent D(2)x S-1 theories. In particular, our formula provides results for the theory on the round sphere when the squashing is removed.

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