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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2312.13258 |
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| _version_ | 1866914687462932480 |
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| author | Correa, Diego H. Ferro, Maximiliano G. Giraldo-Rivera, Victor I. |
| author_facet | Correa, Diego H. Ferro, Maximiliano G. Giraldo-Rivera, Victor I. |
| contents | The open string dual to a 1/6 BPS Wilson line in the ${\cal N} = 6$ super Chern-Simons-matter theory is coupled to a flat Kalb-Ramond field. We show that the resulting boundary term imposes mixed boundary conditions on the fields that describe the fluctuations on the world-sheet. These boundary conditions fix a combination of the derivatives of the fluctuations, parallel and transverse to the boundary. We holographically compute the correlation functions of insertions on the Wilson line in terms of world-sheet Witten diagrams. We observe that their functional dependence is consistent with the conformal symmetry on the line. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_13258 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Mixed boundary conditions in AdS$_2$/CFT$_1$ from the coupling with a Kalb-Ramond field Correa, Diego H. Ferro, Maximiliano G. Giraldo-Rivera, Victor I. High Energy Physics - Theory The open string dual to a 1/6 BPS Wilson line in the ${\cal N} = 6$ super Chern-Simons-matter theory is coupled to a flat Kalb-Ramond field. We show that the resulting boundary term imposes mixed boundary conditions on the fields that describe the fluctuations on the world-sheet. These boundary conditions fix a combination of the derivatives of the fluctuations, parallel and transverse to the boundary. We holographically compute the correlation functions of insertions on the Wilson line in terms of world-sheet Witten diagrams. We observe that their functional dependence is consistent with the conformal symmetry on the line. |
| title | Mixed boundary conditions in AdS$_2$/CFT$_1$ from the coupling with a Kalb-Ramond field |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2312.13258 |