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

• 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

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.