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
相关论文
共 50 条
  • [1] Exact SUSY Wilson loops on S3 from q-Virasoro constraints
    Luca Cassia
    Rebecca Lodin
    Aleksandr Popolitov
    Maxim Zabzine
    Journal of High Energy Physics, 2019
  • [2] Solving q-Virasoro constraints
    Lodin, Rebecca
    Popolitov, Aleksandr
    Shakirov, Shamil
    Zabzine, Maxim
    LETTERS IN MATHEMATICAL PHYSICS, 2020, 110 (01) : 179 - 210
  • [3] Solving q-Virasoro constraints
    Rebecca Lodin
    Aleksandr Popolitov
    Shamil Shakirov
    Maxim Zabzine
    Letters in Mathematical Physics, 2020, 110 : 179 - 210
  • [4] q-Virasoro constraints in matrix models
    Nedelin, Anton
    Zabzine, Maxim
    JOURNAL OF HIGH ENERGY PHYSICS, 2017, (03):
  • [5] Correction to: Solving q-Virasoro constraints
    Rebecca Lodin
    Aleksandr Popolitov
    Shamil Shakirov
    Maxim Zabzine
    Letters in Mathematical Physics, 2020, 110 (10) : 2855 - 2855
  • [6] q-Virasoro constraints in matrix models
    Anton Nedelin
    Maxim Zabzine
    Journal of High Energy Physics, 2017
  • [7] Supersymmetric Wilson loops on S3
    Drukker, Nadav
    Giombi, Simone
    Ricci, Riccardo
    Trancanelli, Diego
    JOURNAL OF HIGH ENERGY PHYSICS, 2008, (05):
  • [8] Solving q-Virasoro constraints (vol 110, pg 179, 2020)
    Lodin, Rebecca
    Popolitov, Aleksandr
    Shakirov, Shamil
    Zabzine, Maxim
    LETTERS IN MATHEMATICAL PHYSICS, 2020, 110 (10) : 2855 - 2855
  • [9] q-Virasoro operators from an analogue of the Noether currents
    Sato, HT
    ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1996, 70 (02): : 349 - 355
  • [10] q-Virasoro Modular Double and 3d Partition Functions
    Anton Nedelin
    Fabrizio Nieri
    Maxim Zabzine
    Communications in Mathematical Physics, 2017, 353 : 1059 - 1102