Exact SUSY Wilson loops on S3 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: Springer Science and Business Media LLC 2019
• Subjects: Nuclear and High Energy Physics; South Pole; South pole
• Online Access: http://dx.doi.org/10.1007/jhep12(2019)121; https://link.springer.com/content/pdf/10.1007/JHEP12(2019)121.pdf; https://link.springer.com/article/10.1007/JHEP12(2019)121/fulltext.html

A bstract Using the ideas from the BPS/CFT correspondence, we give an explicit recur- sive formula for computing supersymmetric Wilson loop averages in 3d $$ \mathcal{N} $$ 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.