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

Abstract Using the ideas from the BPS/CFT correspondence, we give an explicit recur- sive formula for computing supersymmetric Wilson loop averages in 3d N $$ \mathcal{N} $$ = 2 Yang-Mills-Chern-Simons U(N) theory on the squashed sphere S b 3 $$ {S}_b^3 $$ with one adjoint chiral and two antichiral...

Full description

Bibliographic Details
Published in:Journal of High Energy Physics
Main Authors: Luca Cassia, Rebecca Lodin, Aleksandr Popolitov, Maxim Zabzine
Format: Article in Journal/Newspaper
Language:English
Published: SpringerOpen 2019
Subjects:
Matrix Models
Wilson
’t Hooft and Polyakov loops
Chern-Simons Theories
Supersymmetric Gauge Theory
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
South Pole
South pole
Online Access:https://doi.org/10.1007/JHEP12(2019)121
https://doaj.org/article/42ff8bc96cc6485db6717e8b1154e586
Description
Summary:Abstract Using the ideas from the BPS/CFT correspondence, we give an explicit recur- sive formula for computing supersymmetric Wilson loop averages in 3d N $$ \mathcal{N} $$ = 2 Yang-Mills-Chern-Simons U(N) theory on the squashed sphere S b 3 $$ {S}_b^3 $$ with one adjoint chiral and two antichiral fundamental multiplets, for specific values of Chern-Simons level κ 2 and Fayet- Illiopoulos parameter κ 1. For these values of κ 1 and κ 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 × S 1 theories. In particular, our formula provides results for the theory on the round sphere when the squashing is removed.

Similar Items