On parity-odd sector in metric-affine theories
Abstract We undertake the construction of quadratic parity-violating terms involving the curvature in the four-dimensional metric-affine gravity. We demonstrate that there are only 12 linearly independent scalars, plus an additional one that can be removed by using the Pontryagin invariant. Several...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-02-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-11250-2 |
| _version_ | 1797853629039771648 |
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| author | Jose Beltrán Jiménez Alejandro Jiménez-Cano Yuri N. Obukhov |
| author_facet | Jose Beltrán Jiménez Alejandro Jiménez-Cano Yuri N. Obukhov |
| author_sort | Jose Beltrán Jiménez |
| collection | DOAJ |
| description | Abstract We undertake the construction of quadratic parity-violating terms involving the curvature in the four-dimensional metric-affine gravity. We demonstrate that there are only 12 linearly independent scalars, plus an additional one that can be removed by using the Pontryagin invariant. Several convenient bases for this sector are provided in both components and differential form notation. We also particularize our general findings to some constrained geometries like Weyl–Cartan and metric-compatible connections. |
| first_indexed | 2024-04-09T19:52:38Z |
| format | Article |
| id | doaj.art-05fb0e525e0c42e59b62652d56cd3b74 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-09T19:52:38Z |
| publishDate | 2023-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-05fb0e525e0c42e59b62652d56cd3b742023-04-03T05:37:42ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-02-018321910.1140/epjc/s10052-023-11250-2On parity-odd sector in metric-affine theoriesJose Beltrán Jiménez0Alejandro Jiménez-Cano1Yuri N. Obukhov2Departamento de Física Fundamental and IUFFyM, Universidad de SalamancaLaboratory of Theoretical Physics, Institute of Physics, University of TartuRussian Academy of Sciences, Nuclear Safety InstituteAbstract We undertake the construction of quadratic parity-violating terms involving the curvature in the four-dimensional metric-affine gravity. We demonstrate that there are only 12 linearly independent scalars, plus an additional one that can be removed by using the Pontryagin invariant. Several convenient bases for this sector are provided in both components and differential form notation. We also particularize our general findings to some constrained geometries like Weyl–Cartan and metric-compatible connections.https://doi.org/10.1140/epjc/s10052-023-11250-2 |
| spellingShingle | Jose Beltrán Jiménez Alejandro Jiménez-Cano Yuri N. Obukhov On parity-odd sector in metric-affine theories European Physical Journal C: Particles and Fields |
| title | On parity-odd sector in metric-affine theories |
| title_full | On parity-odd sector in metric-affine theories |
| title_fullStr | On parity-odd sector in metric-affine theories |
| title_full_unstemmed | On parity-odd sector in metric-affine theories |
| title_short | On parity-odd sector in metric-affine theories |
| title_sort | on parity odd sector in metric affine theories |
| url | https://doi.org/10.1140/epjc/s10052-023-11250-2 |
| work_keys_str_mv | AT josebeltranjimenez onparityoddsectorinmetricaffinetheories AT alejandrojimenezcano onparityoddsectorinmetricaffinetheories AT yurinobukhov onparityoddsectorinmetricaffinetheories |