Exact SUSY Wilson loops on $S^3$ from $q$-Virasoro constraints
Using the ideas from the BPS/CFT correspondence, we give an explicit recursive formula for computing supersymmetric Wilson loop averages in 3d $\mathcal{N}=2$ Yang-Mills-Chern-Simons $U(N)$ theory on the squashed sphere $S^3_b$ with one adjoint chiral and two antichiral fundamental multiplets, for s...
| Main Authors: | , , , |
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| Format: | Article in Journal/Newspaper |
| Language: | unknown |
| Published: |
arXiv
2019
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| Subjects: | |
| Online Access: | https://dx.doi.org/10.48550/arxiv.1909.10352 https://arxiv.org/abs/1909.10352 |
| Summary: | Using the ideas from the BPS/CFT correspondence, we give an explicit recursive formula for computing supersymmetric Wilson loop averages in 3d $\mathcal{N}=2$ Yang-Mills-Chern-Simons $U(N)$ theory on the squashed sphere $S^3_b$ 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 $D^2 \times S^1$ theories. In particular, our formula provides results for the theory on the round sphere when the squashing is removed. : 30 pages, 1 figure; v2: typos fixed, JHEP version |
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