Algebra structure of conformal Killing-Yano forms in geometries with skew-symmetric torsion
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866915570972098560 |
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| author | Ertem, Ümit Kelekçi, Özgür Açık, Özgür |
| author_facet | Ertem, Ümit Kelekçi, Özgür Açık, Özgür |
| contents | We consider conformal Killing-Yano forms corresponding to the antisymmetric generalizations of conformal Killing vectors to higher degree forms in the presence of skew-symmetric torsion. Integrability conditions for torsionful conformal Killing-Yano forms are found and a graded Lie bracket for conformal Killing-Yano forms to constitute a graded Lie algebra structure is proposed. It is found that a graded Lie algebra structure for a special subset of torsionful conformal Killing-Yano forms can be constructed for a closed and parallel skew-symmetric torsion on constant curvature and Einstein manifolds. Similar structure for generalized hidden symmetries defined from generalized connection in generalized geometry is also constructed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_05117 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Algebra structure of conformal Killing-Yano forms in geometries with skew-symmetric torsion Ertem, Ümit Kelekçi, Özgür Açık, Özgür High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics We consider conformal Killing-Yano forms corresponding to the antisymmetric generalizations of conformal Killing vectors to higher degree forms in the presence of skew-symmetric torsion. Integrability conditions for torsionful conformal Killing-Yano forms are found and a graded Lie bracket for conformal Killing-Yano forms to constitute a graded Lie algebra structure is proposed. It is found that a graded Lie algebra structure for a special subset of torsionful conformal Killing-Yano forms can be constructed for a closed and parallel skew-symmetric torsion on constant curvature and Einstein manifolds. Similar structure for generalized hidden symmetries defined from generalized connection in generalized geometry is also constructed. |
| title | Algebra structure of conformal Killing-Yano forms in geometries with skew-symmetric torsion |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2508.05117 |