Structure constants of operators on the Wilson loop from integrability
Abstract We study structure constants of local operators inserted on the Wilson loop in N=4 $$ \mathcal{N}=4 $$ super Yang-Mills theory. We conjecture the finite coupling expression of the structure constant which is interpreted as one hexagon with three mirror edges contracted by the boundary state...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP11(2017)116 |
| _version_ | 1818307425878409216 |
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| author | Minkyoo Kim Naoki Kiryu |
| author_facet | Minkyoo Kim Naoki Kiryu |
| author_sort | Minkyoo Kim |
| collection | DOAJ |
| description | Abstract We study structure constants of local operators inserted on the Wilson loop in N=4 $$ \mathcal{N}=4 $$ super Yang-Mills theory. We conjecture the finite coupling expression of the structure constant which is interpreted as one hexagon with three mirror edges contracted by the boundary states. This is consistent with a holographic description of the correlator as the cubic open string vertex which consists of one hexagonal patch and three boundaries. We check its validity at the weak coupling where the asymptotic expression reduces to the summation over all possible ways of changing the signs of magnon momenta in the hexagon form factor. For this purpose, we compute the structure constants in the SU(2) sector at tree level using the correspondence between operators on the Wilson loop and the open spin chain. The result is nicely matched with our conjecture at the weak coupling regime. |
| first_indexed | 2024-12-13T06:58:11Z |
| format | Article |
| id | doaj.art-a525e90c1f8c4d5ea04409435389dd64 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-13T06:58:11Z |
| publishDate | 2017-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-a525e90c1f8c4d5ea04409435389dd642022-12-21T23:56:00ZengSpringerOpenJournal of High Energy Physics1029-84792017-11-0120171113710.1007/JHEP11(2017)116Structure constants of operators on the Wilson loop from integrabilityMinkyoo Kim0Naoki Kiryu1National Institute for Theoretical Physics, School of Physics and Mandelstam Institute for Theoretical Physics, University of the WitwatersrandInstitute of Physics, University of TokyoAbstract We study structure constants of local operators inserted on the Wilson loop in N=4 $$ \mathcal{N}=4 $$ super Yang-Mills theory. We conjecture the finite coupling expression of the structure constant which is interpreted as one hexagon with three mirror edges contracted by the boundary states. This is consistent with a holographic description of the correlator as the cubic open string vertex which consists of one hexagonal patch and three boundaries. We check its validity at the weak coupling where the asymptotic expression reduces to the summation over all possible ways of changing the signs of magnon momenta in the hexagon form factor. For this purpose, we compute the structure constants in the SU(2) sector at tree level using the correspondence between operators on the Wilson loop and the open spin chain. The result is nicely matched with our conjecture at the weak coupling regime.http://link.springer.com/article/10.1007/JHEP11(2017)116AdS-CFT CorrespondenceIntegrable Field TheoriesWilson, ’t Hooft and Polyakov loops |
| spellingShingle | Minkyoo Kim Naoki Kiryu Structure constants of operators on the Wilson loop from integrability Journal of High Energy Physics AdS-CFT Correspondence Integrable Field Theories Wilson, ’t Hooft and Polyakov loops |
| title | Structure constants of operators on the Wilson loop from integrability |
| title_full | Structure constants of operators on the Wilson loop from integrability |
| title_fullStr | Structure constants of operators on the Wilson loop from integrability |
| title_full_unstemmed | Structure constants of operators on the Wilson loop from integrability |
| title_short | Structure constants of operators on the Wilson loop from integrability |
| title_sort | structure constants of operators on the wilson loop from integrability |
| topic | AdS-CFT Correspondence Integrable Field Theories Wilson, ’t Hooft and Polyakov loops |
| url | http://link.springer.com/article/10.1007/JHEP11(2017)116 |
| work_keys_str_mv | AT minkyookim structureconstantsofoperatorsonthewilsonloopfromintegrability AT naokikiryu structureconstantsofoperatorsonthewilsonloopfromintegrability |