Open giant magnons on LLM geometries
Abstract We compute sigma model solutions for rigidly rotating open strings suspended between giant gravitons in general LLM geometries. These solutions are confined to the LLM plane. These all have a dispersion relation for ∆ − J that is consistent with saturation of a BPS bound of the centrally ex...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2021)080 |
| _version_ | 1823956051850952704 |
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| author | David Berenstein Adolfo Holguin |
| author_facet | David Berenstein Adolfo Holguin |
| author_sort | David Berenstein |
| collection | DOAJ |
| description | Abstract We compute sigma model solutions for rigidly rotating open strings suspended between giant gravitons in general LLM geometries. These solutions are confined to the LLM plane. These all have a dispersion relation for ∆ − J that is consistent with saturation of a BPS bound of the centrally extended spin chain. For the special case of circularly symmetric LLM geometries, we can further evaluate the amount of angular momentum J carried by these strings. This quantity diverges for string configurations that try to move between different “coloring regions” in the LLM plane. All of these quantities have a perturbative expansion in the t’Hooft coupling. For the strings suspended between AdS giants, we can compute in field theory the leading result of J carried by the string via an analytic continuation of the SU(2) result, with the help of the Bethe Ansatz for the SL(2) sector. We thus provide additional information on how the radial direction of AdS arises from (open) spin chain calculations. |
| first_indexed | 2024-12-17T15:39:56Z |
| format | Article |
| id | doaj.art-c323e2df6f2b4f109cb72f1edb296ca0 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-17T15:39:56Z |
| publishDate | 2021-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-c323e2df6f2b4f109cb72f1edb296ca02022-12-21T21:42:51ZengSpringerOpenJournal of High Energy Physics1029-84792021-01-012021112210.1007/JHEP01(2021)080Open giant magnons on LLM geometriesDavid Berenstein0Adolfo Holguin1Department of Physics, University of California at Santa BarbaraDepartment of Physics, University of California at Santa BarbaraAbstract We compute sigma model solutions for rigidly rotating open strings suspended between giant gravitons in general LLM geometries. These solutions are confined to the LLM plane. These all have a dispersion relation for ∆ − J that is consistent with saturation of a BPS bound of the centrally extended spin chain. For the special case of circularly symmetric LLM geometries, we can further evaluate the amount of angular momentum J carried by these strings. This quantity diverges for string configurations that try to move between different “coloring regions” in the LLM plane. All of these quantities have a perturbative expansion in the t’Hooft coupling. For the strings suspended between AdS giants, we can compute in field theory the leading result of J carried by the string via an analytic continuation of the SU(2) result, with the help of the Bethe Ansatz for the SL(2) sector. We thus provide additional information on how the radial direction of AdS arises from (open) spin chain calculations.https://doi.org/10.1007/JHEP01(2021)080AdS-CFT CorrespondenceD-branesBethe AnsatzSigma Models |
| spellingShingle | David Berenstein Adolfo Holguin Open giant magnons on LLM geometries Journal of High Energy Physics AdS-CFT Correspondence D-branes Bethe Ansatz Sigma Models |
| title | Open giant magnons on LLM geometries |
| title_full | Open giant magnons on LLM geometries |
| title_fullStr | Open giant magnons on LLM geometries |
| title_full_unstemmed | Open giant magnons on LLM geometries |
| title_short | Open giant magnons on LLM geometries |
| title_sort | open giant magnons on llm geometries |
| topic | AdS-CFT Correspondence D-branes Bethe Ansatz Sigma Models |
| url | https://doi.org/10.1007/JHEP01(2021)080 |
| work_keys_str_mv | AT davidberenstein opengiantmagnonsonllmgeometries AT adolfoholguin opengiantmagnonsonllmgeometries |