Three-dimensional non-relativistic Hietarinta supergravity
Abstract In this work we present the non-relativistic regime of the Hietarinta gravity theory and its extension to supergravity. At the bosonic level, we derive the non-relativistic version of the Hietarinta model by employing a contraction process and addressing the non-degeneracy of the invariant...
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| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-13761-6 |
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| author | Patrick Concha Evelyn Rodríguez Sebastián Salgado |
| author_facet | Patrick Concha Evelyn Rodríguez Sebastián Salgado |
| author_sort | Patrick Concha |
| collection | DOAJ |
| description | Abstract In this work we present the non-relativistic regime of the Hietarinta gravity theory and its extension to supergravity. At the bosonic level, we derive the non-relativistic version of the Hietarinta model by employing a contraction process and addressing the non-degeneracy of the invariant metric. To incorporate supersymmetry, we apply the Lie algebra expansion method to obtain the non-relativistic formulation of $${\mathcal {N}}=2$$ N = 2 Hietarinta supergravity. Our results reveal that the non-relativistic Hietarinta theory encompasses the extended Bargmann (super)gravity as a special case, yet it differs significantly from other existing non-relativistic (super)gravity models. Furthermore, we generalize our analysis to include a cosmological constant term in the non-relativistic Hietarinta (super)gravity action and examine its effects on the torsion structure. |
| format | Article |
| id | doaj-art-486ee78fbc13408483e46f9a837f4951 |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-486ee78fbc13408483e46f9a837f49512025-01-26T12:49:17ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-01-0185111710.1140/epjc/s10052-025-13761-6Three-dimensional non-relativistic Hietarinta supergravityPatrick Concha0Evelyn Rodríguez1Sebastián Salgado2Departamento de Matemática y Física Aplicadas, Universidad Católica de la Santísima ConcepciónDepartamento de Matemática y Física Aplicadas, Universidad Católica de la Santísima ConcepciónInstituto de Alta Investigación, Universidad de TarapacáAbstract In this work we present the non-relativistic regime of the Hietarinta gravity theory and its extension to supergravity. At the bosonic level, we derive the non-relativistic version of the Hietarinta model by employing a contraction process and addressing the non-degeneracy of the invariant metric. To incorporate supersymmetry, we apply the Lie algebra expansion method to obtain the non-relativistic formulation of $${\mathcal {N}}=2$$ N = 2 Hietarinta supergravity. Our results reveal that the non-relativistic Hietarinta theory encompasses the extended Bargmann (super)gravity as a special case, yet it differs significantly from other existing non-relativistic (super)gravity models. Furthermore, we generalize our analysis to include a cosmological constant term in the non-relativistic Hietarinta (super)gravity action and examine its effects on the torsion structure.https://doi.org/10.1140/epjc/s10052-025-13761-6 |
| spellingShingle | Patrick Concha Evelyn Rodríguez Sebastián Salgado Three-dimensional non-relativistic Hietarinta supergravity European Physical Journal C: Particles and Fields |
| title | Three-dimensional non-relativistic Hietarinta supergravity |
| title_full | Three-dimensional non-relativistic Hietarinta supergravity |
| title_fullStr | Three-dimensional non-relativistic Hietarinta supergravity |
| title_full_unstemmed | Three-dimensional non-relativistic Hietarinta supergravity |
| title_short | Three-dimensional non-relativistic Hietarinta supergravity |
| title_sort | three dimensional non relativistic hietarinta supergravity |
| url | https://doi.org/10.1140/epjc/s10052-025-13761-6 |
| work_keys_str_mv | AT patrickconcha threedimensionalnonrelativistichietarintasupergravity AT evelynrodriguez threedimensionalnonrelativistichietarintasupergravity AT sebastiansalgado threedimensionalnonrelativistichietarintasupergravity |