Killing-Yano Cotton currents
Abstract We discuss conserved currents constructed from the Cotton tensor and (conformal) Killing-Yano tensors (KYTs). We consider the corresponding charges generally and then exemplify with the four-dimensional Plebański-Demiański metric where they are proportional to the sum of the squares of the...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2022)029 |
| _version_ | 1828487947818631168 |
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| author | Ulf Lindström Özgür Sarıoğlu |
| author_facet | Ulf Lindström Özgür Sarıoğlu |
| author_sort | Ulf Lindström |
| collection | DOAJ |
| description | Abstract We discuss conserved currents constructed from the Cotton tensor and (conformal) Killing-Yano tensors (KYTs). We consider the corresponding charges generally and then exemplify with the four-dimensional Plebański-Demiański metric where they are proportional to the sum of the squares of the electric and the magnetic charges. As part of the derivation, we also find the two conformal Killing-Yano tensors of the Plebański-Demiański metric in the recently introduced coordinates of Podolsky and Vratny. The construction of asymptotic charges for the Cotton current is elucidated and compared to the three-dimensional construction in Topologically Massive Gravity. For the three-dimensional case, we also give a conformal superspace multiplet that contains the Cotton current in the bosonic sector. In a mathematical section, we derive potentials for the currents, find identities for conformal KYTs and for KYTs in torsionful backgrounds. |
| first_indexed | 2024-12-11T10:00:19Z |
| format | Article |
| id | doaj.art-2ca9d8fbb14a40b2b8966021ad879333 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T10:00:19Z |
| publishDate | 2022-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-2ca9d8fbb14a40b2b8966021ad8793332022-12-22T01:12:08ZengSpringerOpenJournal of High Energy Physics1029-84792022-03-012022312010.1007/JHEP03(2022)029Killing-Yano Cotton currentsUlf Lindström0Özgür Sarıoğlu1Department of Physics, Faculty of Arts and Sciences, Middle East Technical UniversityDepartment of Physics, Faculty of Arts and Sciences, Middle East Technical UniversityAbstract We discuss conserved currents constructed from the Cotton tensor and (conformal) Killing-Yano tensors (KYTs). We consider the corresponding charges generally and then exemplify with the four-dimensional Plebański-Demiański metric where they are proportional to the sum of the squares of the electric and the magnetic charges. As part of the derivation, we also find the two conformal Killing-Yano tensors of the Plebański-Demiański metric in the recently introduced coordinates of Podolsky and Vratny. The construction of asymptotic charges for the Cotton current is elucidated and compared to the three-dimensional construction in Topologically Massive Gravity. For the three-dimensional case, we also give a conformal superspace multiplet that contains the Cotton current in the bosonic sector. In a mathematical section, we derive potentials for the currents, find identities for conformal KYTs and for KYTs in torsionful backgrounds.https://doi.org/10.1007/JHEP03(2022)029Classical Theories of GravityDifferential and Algebraic GeometrySupergravity Models |
| spellingShingle | Ulf Lindström Özgür Sarıoğlu Killing-Yano Cotton currents Journal of High Energy Physics Classical Theories of Gravity Differential and Algebraic Geometry Supergravity Models |
| title | Killing-Yano Cotton currents |
| title_full | Killing-Yano Cotton currents |
| title_fullStr | Killing-Yano Cotton currents |
| title_full_unstemmed | Killing-Yano Cotton currents |
| title_short | Killing-Yano Cotton currents |
| title_sort | killing yano cotton currents |
| topic | Classical Theories of Gravity Differential and Algebraic Geometry Supergravity Models |
| url | https://doi.org/10.1007/JHEP03(2022)029 |
| work_keys_str_mv | AT ulflindstrom killingyanocottoncurrents AT ozgursarıoglu killingyanocottoncurrents |