Exact SUSY Wilson loops on S3 from q-Virasoro constraints

被引:9
|
作者
Cassia, Luca [1 ]
Lodin, Rebecca [1 ]
Popolitov, Aleksandr [1 ,2 ,3 ,4 ]
Zabzine, Maxim [1 ]
机构
[1] Uppsala Univ, Dept Phys & Astron, Box 516, SE-75120 Uppsala, Sweden
[2] Moscow Inst Phys & Technol, Dolgoprudnyi, Russia
[3] ITEP, Moscow 117218, Russia
[4] Inst Informat Transmiss Problems, Moscow 127994, Russia
关键词
Matrix Models; Wilson; 't Hooft and Polyakov loops; Chern-Simons Theories; Supersymmetric Gauge Theory;
D O I
10.1007/JHEP12(2019)121
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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.
引用
收藏
页数:30
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