The Abrikosov vortex in curved space
Abstract We study the self-gravitating Abrikosov vortex in curved space with and with-out a (negative) cosmological constant, considering both singular and non-singular solutions with an eye to hairy black holes. In the asymptotically flat case, we find that non-singular vortices round off the singu...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-09-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP09(2021)012 |
| _version_ | 1819102709860532224 |
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| author | Jan Albert |
| author_facet | Jan Albert |
| author_sort | Jan Albert |
| collection | DOAJ |
| description | Abstract We study the self-gravitating Abrikosov vortex in curved space with and with-out a (negative) cosmological constant, considering both singular and non-singular solutions with an eye to hairy black holes. In the asymptotically flat case, we find that non-singular vortices round off the singularity of the point particle’s metric in 3 dimensions, whereas singular solutions consist of vortices holding a conical singularity at their core. There are no black hole vortex solutions. In the asymptotically AdS case, in addition to these solutions there exist singular solutions containing a BTZ black hole, but they are always hairless. So we find that in contrast with 4-dimensional ’t Hooft-Polyakov monopoles, which can be regarded as their higher-dimensional analogues, Abrikosov vortices cannot hold a black hole at their core. We also describe the implications of these results in the context of AdS/CFT and propose an interpretation for their CFT dual along the lines of the holographic superconductor. |
| first_indexed | 2024-12-22T01:38:53Z |
| format | Article |
| id | doaj.art-11bff677414e4e1ca1ed89fa15e8608b |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-22T01:38:53Z |
| publishDate | 2021-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-11bff677414e4e1ca1ed89fa15e8608b2022-12-21T18:43:17ZengSpringerOpenJournal of High Energy Physics1029-84792021-09-012021912910.1007/JHEP09(2021)012The Abrikosov vortex in curved spaceJan Albert0Simons Center for Geometry and Physics, Stony Brook UniversityAbstract We study the self-gravitating Abrikosov vortex in curved space with and with-out a (negative) cosmological constant, considering both singular and non-singular solutions with an eye to hairy black holes. In the asymptotically flat case, we find that non-singular vortices round off the singularity of the point particle’s metric in 3 dimensions, whereas singular solutions consist of vortices holding a conical singularity at their core. There are no black hole vortex solutions. In the asymptotically AdS case, in addition to these solutions there exist singular solutions containing a BTZ black hole, but they are always hairless. So we find that in contrast with 4-dimensional ’t Hooft-Polyakov monopoles, which can be regarded as their higher-dimensional analogues, Abrikosov vortices cannot hold a black hole at their core. We also describe the implications of these results in the context of AdS/CFT and propose an interpretation for their CFT dual along the lines of the holographic superconductor.https://doi.org/10.1007/JHEP09(2021)012Solitons Monopoles and InstantonsBlack HolesAdS-CFT Correspondence |
| spellingShingle | Jan Albert The Abrikosov vortex in curved space Journal of High Energy Physics Solitons Monopoles and Instantons Black Holes AdS-CFT Correspondence |
| title | The Abrikosov vortex in curved space |
| title_full | The Abrikosov vortex in curved space |
| title_fullStr | The Abrikosov vortex in curved space |
| title_full_unstemmed | The Abrikosov vortex in curved space |
| title_short | The Abrikosov vortex in curved space |
| title_sort | abrikosov vortex in curved space |
| topic | Solitons Monopoles and Instantons Black Holes AdS-CFT Correspondence |
| url | https://doi.org/10.1007/JHEP09(2021)012 |
| work_keys_str_mv | AT janalbert theabrikosovvortexincurvedspace AT janalbert abrikosovvortexincurvedspace |