Exact SUSY Wilson loops on S 3 from q-Virasoro constraints
Abstract Using the ideas from the BPS/CFT correspondence, we give an explicit recur- sive formula for computing supersymmetric Wilson loop averages in 3d N $$ \mathcal{N} $$ = 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...
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ftdoajarticles:oai:doaj.org/article:42ff8bc96cc6485db6717e8b1154e586 2023-05-15T18:22:24+02:00 Exact SUSY Wilson loops on S 3 from q-Virasoro constraints Luca Cassia Rebecca Lodin Aleksandr Popolitov Maxim Zabzine 2019-12-01T00:00:00Z https://doi.org/10.1007/JHEP12(2019)121 https://doaj.org/article/42ff8bc96cc6485db6717e8b1154e586 EN eng SpringerOpen https://doi.org/10.1007/JHEP12(2019)121 https://doaj.org/toc/1029-8479 doi:10.1007/JHEP12(2019)121 1029-8479 https://doaj.org/article/42ff8bc96cc6485db6717e8b1154e586 Journal of High Energy Physics, Vol 2019, Iss 12, Pp 1-30 (2019) Matrix Models Wilson ’t Hooft and Polyakov loops Chern-Simons Theories Supersymmetric Gauge Theory Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 article 2019 ftdoajarticles https://doi.org/10.1007/JHEP12(2019)121 2022-12-31T12:25:05Z Abstract Using the ideas from the BPS/CFT correspondence, we give an explicit recur- sive formula for computing supersymmetric Wilson loop averages in 3d N $$ \mathcal{N} $$ = 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. Article in Journal/Newspaper South pole Directory of Open Access Journals: DOAJ Articles South Pole Journal of High Energy Physics 2019 12 |
institution |
Open Polar |
collection |
Directory of Open Access Journals: DOAJ Articles |
op_collection_id |
ftdoajarticles |
language |
English |
topic |
Matrix Models Wilson ’t Hooft and Polyakov loops Chern-Simons Theories Supersymmetric Gauge Theory Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 |
spellingShingle |
Matrix Models Wilson ’t Hooft and Polyakov loops Chern-Simons Theories Supersymmetric Gauge Theory Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Luca Cassia Rebecca Lodin Aleksandr Popolitov Maxim Zabzine Exact SUSY Wilson loops on S 3 from q-Virasoro constraints |
topic_facet |
Matrix Models Wilson ’t Hooft and Polyakov loops Chern-Simons Theories Supersymmetric Gauge Theory Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 |
description |
Abstract Using the ideas from the BPS/CFT correspondence, we give an explicit recur- sive formula for computing supersymmetric Wilson loop averages in 3d N $$ \mathcal{N} $$ = 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. |
format |
Article in Journal/Newspaper |
author |
Luca Cassia Rebecca Lodin Aleksandr Popolitov Maxim Zabzine |
author_facet |
Luca Cassia Rebecca Lodin Aleksandr Popolitov Maxim Zabzine |
author_sort |
Luca Cassia |
title |
Exact SUSY Wilson loops on S 3 from q-Virasoro constraints |
title_short |
Exact SUSY Wilson loops on S 3 from q-Virasoro constraints |
title_full |
Exact SUSY Wilson loops on S 3 from q-Virasoro constraints |
title_fullStr |
Exact SUSY Wilson loops on S 3 from q-Virasoro constraints |
title_full_unstemmed |
Exact SUSY Wilson loops on S 3 from q-Virasoro constraints |
title_sort |
exact susy wilson loops on s 3 from q-virasoro constraints |
publisher |
SpringerOpen |
publishDate |
2019 |
url |
https://doi.org/10.1007/JHEP12(2019)121 https://doaj.org/article/42ff8bc96cc6485db6717e8b1154e586 |
geographic |
South Pole |
geographic_facet |
South Pole |
genre |
South pole |
genre_facet |
South pole |
op_source |
Journal of High Energy Physics, Vol 2019, Iss 12, Pp 1-30 (2019) |
op_relation |
https://doi.org/10.1007/JHEP12(2019)121 https://doaj.org/toc/1029-8479 doi:10.1007/JHEP12(2019)121 1029-8479 https://doaj.org/article/42ff8bc96cc6485db6717e8b1154e586 |
op_doi |
https://doi.org/10.1007/JHEP12(2019)121 |
container_title |
Journal of High Energy Physics |
container_volume |
2019 |
container_issue |
12 |
_version_ |
1766201805885145088 |