Exact SUSY Wilson loops on S3 from q-Virasoro constraints

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 S_b³ with one adjoint chiral and two antichiral fundamental multiplets, for specific values of Chern-Simons level κ₂ and Fayet- Illiopoulos parameter κ₁. For these values of κ₁ and κ₂ the north and south pole turn out to be completely independent, and therefore Wilson loop averages factorize into answers for the two constituent D²× S¹ theories. In particular, our formula provides results for the theory on the round sphere when the squashing is removed.