Three-dimensional hypergravity theories and semigroup expansion method
Abstract In this work, we apply the semigroup expansion method of Lie algebras to construct novel and known three-dimensional hypergravity theories. We show that the expansion procedure considered here yields a consistent way of coupling different three-dimensional Chern-Simons gravity theories with...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2023)215 |
| _version_ | 1797647417440468992 |
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| author | Ricardo Caroca Patrick Concha Javier Matulich Evelyn Rodríguez David Tempo |
| author_facet | Ricardo Caroca Patrick Concha Javier Matulich Evelyn Rodríguez David Tempo |
| author_sort | Ricardo Caroca |
| collection | DOAJ |
| description | Abstract In this work, we apply the semigroup expansion method of Lie algebras to construct novel and known three-dimensional hypergravity theories. We show that the expansion procedure considered here yields a consistent way of coupling different three-dimensional Chern-Simons gravity theories with massless spin- 5 2 $$ \frac{5}{2} $$ gauge fields. First, by expanding the osp $$ \mathfrak{osp} $$ (1|4) superalgebra with a particular semigroup a generalized hyper-Poincaré algebra is found. Interestingly, the hyper-Poincaré and hyper-Maxwell algebras appear as subalgebras of this generalized hypersymmetry algebra. Then, we show that the generalized hyper-Poincaré CS gravity action can be written as a sum of diverse hypergravity CS Lagrangians. We extend our study to a generalized hyper-AdS gravity theory by considering a different semigroup. Both generalized hyperalgebras are then found to be related through an Inönü-Wigner contraction which can be seen as a generalization of the existing vanishing cosmological constant limit between the hyper-AdS and hyper-Poincaré gravity theories. |
| first_indexed | 2024-03-11T15:17:01Z |
| format | Article |
| id | doaj.art-9b420e0390c7411bb90867d86dcc698d |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T15:17:01Z |
| publishDate | 2023-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-9b420e0390c7411bb90867d86dcc698d2023-10-29T12:11:28ZengSpringerOpenJournal of High Energy Physics1029-84792023-08-012023813510.1007/JHEP08(2023)215Three-dimensional hypergravity theories and semigroup expansion methodRicardo Caroca0Patrick Concha1Javier Matulich2Evelyn Rodríguez3David Tempo4Instituto de Ciencias Exactas y Naturales, Universidad Arturo PratDepartamento de Matemática y Física Aplicadas, Universidad Católica de la Santísima ConcepciónInstituto de Física Teórica UAM/CSIC, C/ Nicolás Cabrera 13-15, Universidad Autónoma de MadridDepartamento de Matemática y Física Aplicadas, Universidad Católica de la Santísima ConcepciónDepartamento de Ciencias Matemáticas y Físicas, Facultad de Ingeniería, Universidad Católica de TemucoAbstract In this work, we apply the semigroup expansion method of Lie algebras to construct novel and known three-dimensional hypergravity theories. We show that the expansion procedure considered here yields a consistent way of coupling different three-dimensional Chern-Simons gravity theories with massless spin- 5 2 $$ \frac{5}{2} $$ gauge fields. First, by expanding the osp $$ \mathfrak{osp} $$ (1|4) superalgebra with a particular semigroup a generalized hyper-Poincaré algebra is found. Interestingly, the hyper-Poincaré and hyper-Maxwell algebras appear as subalgebras of this generalized hypersymmetry algebra. Then, we show that the generalized hyper-Poincaré CS gravity action can be written as a sum of diverse hypergravity CS Lagrangians. We extend our study to a generalized hyper-AdS gravity theory by considering a different semigroup. Both generalized hyperalgebras are then found to be related through an Inönü-Wigner contraction which can be seen as a generalization of the existing vanishing cosmological constant limit between the hyper-AdS and hyper-Poincaré gravity theories.https://doi.org/10.1007/JHEP08(2023)215Chern-Simons TheoriesHigher Spin SymmetryHigher Spin GravitySupergravity Models |
| spellingShingle | Ricardo Caroca Patrick Concha Javier Matulich Evelyn Rodríguez David Tempo Three-dimensional hypergravity theories and semigroup expansion method Journal of High Energy Physics Chern-Simons Theories Higher Spin Symmetry Higher Spin Gravity Supergravity Models |
| title | Three-dimensional hypergravity theories and semigroup expansion method |
| title_full | Three-dimensional hypergravity theories and semigroup expansion method |
| title_fullStr | Three-dimensional hypergravity theories and semigroup expansion method |
| title_full_unstemmed | Three-dimensional hypergravity theories and semigroup expansion method |
| title_short | Three-dimensional hypergravity theories and semigroup expansion method |
| title_sort | three dimensional hypergravity theories and semigroup expansion method |
| topic | Chern-Simons Theories Higher Spin Symmetry Higher Spin Gravity Supergravity Models |
| url | https://doi.org/10.1007/JHEP08(2023)215 |
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