Gravitating anisotropic merons and squashed spheres in the three-dimensional Einstein-Yang-Mills-Chern-Simons theory
Abstract We construct the first analytic examples of self-gravitating anisotropic merons in the Einstein-Yang-Mills-Chern-Simons theory in three dimensions. The gauge field configurations have different meronic parameters along the three Maurer-Cartan 1-forms and they are topologically nontrivial as...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2023)146 |
| _version_ | 1827277413038424064 |
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| author | Fabrizio Canfora Cristóbal Corral |
| author_facet | Fabrizio Canfora Cristóbal Corral |
| author_sort | Fabrizio Canfora |
| collection | DOAJ |
| description | Abstract We construct the first analytic examples of self-gravitating anisotropic merons in the Einstein-Yang-Mills-Chern-Simons theory in three dimensions. The gauge field configurations have different meronic parameters along the three Maurer-Cartan 1-forms and they are topologically nontrivial as the Chern-Simons invariant is nonzero. The corresponding backreacted metric is conformally a squashed three-sphere. The amount of squashing is related to the degree of anisotropy of the gauge field configurations that we compute explicitly in different limits of the squashing parameter. Moreover, the spectrum of the Dirac operator on this background is obtained explicitly for spin-1/2 spinors in the fundamental representation of SU(2), and the genuine non-Abelian contributions to the spectrum are identified. The physical consequences of these results are discussed. |
| first_indexed | 2024-03-09T15:32:01Z |
| format | Article |
| id | doaj.art-48f6a48aa95b42d9a3d67cef04ccd657 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T07:20:44Z |
| publishDate | 2023-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-48f6a48aa95b42d9a3d67cef04ccd6572024-04-21T11:04:17ZengSpringerOpenJournal of High Energy Physics1029-84792023-11-0120231112010.1007/JHEP11(2023)146Gravitating anisotropic merons and squashed spheres in the three-dimensional Einstein-Yang-Mills-Chern-Simons theoryFabrizio Canfora0Cristóbal Corral1Facultad de Ingenieria, Arquitectura y Diseño, Universidad San SebastianInstituto de Ciencias Exactas y Naturales, Universidad Arturo PratAbstract We construct the first analytic examples of self-gravitating anisotropic merons in the Einstein-Yang-Mills-Chern-Simons theory in three dimensions. The gauge field configurations have different meronic parameters along the three Maurer-Cartan 1-forms and they are topologically nontrivial as the Chern-Simons invariant is nonzero. The corresponding backreacted metric is conformally a squashed three-sphere. The amount of squashing is related to the degree of anisotropy of the gauge field configurations that we compute explicitly in different limits of the squashing parameter. Moreover, the spectrum of the Dirac operator on this background is obtained explicitly for spin-1/2 spinors in the fundamental representation of SU(2), and the genuine non-Abelian contributions to the spectrum are identified. The physical consequences of these results are discussed.https://doi.org/10.1007/JHEP11(2023)146Classical Theories of GravitySolitons Monopoles and InstantonsBlack HolesChern-Simons Theories |
| spellingShingle | Fabrizio Canfora Cristóbal Corral Gravitating anisotropic merons and squashed spheres in the three-dimensional Einstein-Yang-Mills-Chern-Simons theory Journal of High Energy Physics Classical Theories of Gravity Solitons Monopoles and Instantons Black Holes Chern-Simons Theories |
| title | Gravitating anisotropic merons and squashed spheres in the three-dimensional Einstein-Yang-Mills-Chern-Simons theory |
| title_full | Gravitating anisotropic merons and squashed spheres in the three-dimensional Einstein-Yang-Mills-Chern-Simons theory |
| title_fullStr | Gravitating anisotropic merons and squashed spheres in the three-dimensional Einstein-Yang-Mills-Chern-Simons theory |
| title_full_unstemmed | Gravitating anisotropic merons and squashed spheres in the three-dimensional Einstein-Yang-Mills-Chern-Simons theory |
| title_short | Gravitating anisotropic merons and squashed spheres in the three-dimensional Einstein-Yang-Mills-Chern-Simons theory |
| title_sort | gravitating anisotropic merons and squashed spheres in the three dimensional einstein yang mills chern simons theory |
| topic | Classical Theories of Gravity Solitons Monopoles and Instantons Black Holes Chern-Simons Theories |
| url | https://doi.org/10.1007/JHEP11(2023)146 |
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