Wilson-loop one-point functions in ABJM theory
Abstract In this paper we initiate the study of correlation functions of a single trace operator and a circular supersymmetric Wilson loop in ABJM theory. The single trace operator is in the scalar sector and is an eigenstate of the planar two-loop dilatation operator. The Wilson loop is in the fund...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2023)047 |
| _version_ | 1827394708203110400 |
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| author | Yunfeng Jiang Jun-Bao Wu Peihe Yang |
| author_facet | Yunfeng Jiang Jun-Bao Wu Peihe Yang |
| author_sort | Yunfeng Jiang |
| collection | DOAJ |
| description | Abstract In this paper we initiate the study of correlation functions of a single trace operator and a circular supersymmetric Wilson loop in ABJM theory. The single trace operator is in the scalar sector and is an eigenstate of the planar two-loop dilatation operator. The Wilson loop is in the fundamental representation of the gauge group or a suitable (super-)group. Such correlation functions at tree level can be written as an overlap of the Bethe state corresponding to the single trace operator and a boundary state which corresponds to the Wilson loop. There are various type of supersymmetric Wilson loops in ABJM theory. We show that some of them correspond to tree-level integrable boundary states while some are not. For the tree-level integrable ones, we prove their integrability and obtain analytic formula for the overlaps. For the non-integrable ones, we give examples of non-vanishing overlaps for Bethe states which violate selection rules. |
| first_indexed | 2024-03-08T18:16:53Z |
| format | Article |
| id | doaj.art-b604fece81eb43499165e508ae46fd42 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-08T18:16:53Z |
| publishDate | 2023-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-b604fece81eb43499165e508ae46fd422023-12-31T12:07:26ZengSpringerOpenJournal of High Energy Physics1029-84792023-09-012023913210.1007/JHEP09(2023)047Wilson-loop one-point functions in ABJM theoryYunfeng Jiang0Jun-Bao Wu1Peihe Yang2School of Phyiscs and Shing-Tung Yau Center, Southeast UniversityCenter for Joint Quantum Studies and Department of Physics, School of Science, Tianjin UniversityCenter for Joint Quantum Studies and Department of Physics, School of Science, Tianjin UniversityAbstract In this paper we initiate the study of correlation functions of a single trace operator and a circular supersymmetric Wilson loop in ABJM theory. The single trace operator is in the scalar sector and is an eigenstate of the planar two-loop dilatation operator. The Wilson loop is in the fundamental representation of the gauge group or a suitable (super-)group. Such correlation functions at tree level can be written as an overlap of the Bethe state corresponding to the single trace operator and a boundary state which corresponds to the Wilson loop. There are various type of supersymmetric Wilson loops in ABJM theory. We show that some of them correspond to tree-level integrable boundary states while some are not. For the tree-level integrable ones, we prove their integrability and obtain analytic formula for the overlaps. For the non-integrable ones, we give examples of non-vanishing overlaps for Bethe states which violate selection rules.https://doi.org/10.1007/JHEP09(2023)047Bethe AnsatzChern-Simons TheoriesSupersymmetric Gauge TheoryWilson’t Hooft and Polyakov loops |
| spellingShingle | Yunfeng Jiang Jun-Bao Wu Peihe Yang Wilson-loop one-point functions in ABJM theory Journal of High Energy Physics Bethe Ansatz Chern-Simons Theories Supersymmetric Gauge Theory Wilson ’t Hooft and Polyakov loops |
| title | Wilson-loop one-point functions in ABJM theory |
| title_full | Wilson-loop one-point functions in ABJM theory |
| title_fullStr | Wilson-loop one-point functions in ABJM theory |
| title_full_unstemmed | Wilson-loop one-point functions in ABJM theory |
| title_short | Wilson-loop one-point functions in ABJM theory |
| title_sort | wilson loop one point functions in abjm theory |
| topic | Bethe Ansatz Chern-Simons Theories Supersymmetric Gauge Theory Wilson ’t Hooft and Polyakov loops |
| url | https://doi.org/10.1007/JHEP09(2023)047 |
| work_keys_str_mv | AT yunfengjiang wilsonlooponepointfunctionsinabjmtheory AT junbaowu wilsonlooponepointfunctionsinabjmtheory AT peiheyang wilsonlooponepointfunctionsinabjmtheory |