AdS Carroll Chern-Simons supergravity in 2 + 1 dimensions and its flat limit
Carroll symmetries arise when the velocity of light is sent to zero (ultra-relativistic limit). In this paper, we present the construction of the three-dimensional Chern-Simons supergravity theory invariant under the so-called AdS Carroll superalgebra, which was obtained in the literature as a contr...
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| Format: | Article |
| Language: | English |
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Elsevier
2019-08-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269319304046 |
| _version_ | 1811192880404889600 |
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| author | Lucrezia Ravera |
| author_facet | Lucrezia Ravera |
| author_sort | Lucrezia Ravera |
| collection | DOAJ |
| description | Carroll symmetries arise when the velocity of light is sent to zero (ultra-relativistic limit). In this paper, we present the construction of the three-dimensional Chern-Simons supergravity theory invariant under the so-called AdS Carroll superalgebra, which was obtained in the literature as a contraction of the AdS superalgebra. The action is characterized by two coupling constants. Subsequently, we study its flat limit, obtaining the three-dimensional Chern-Simons supergravity theory invariant under the super-Carroll algebra, which is a contraction of the Poincaré superalgebra. We apply the flat limit at the level of the superalgebra, Chern-Simons action, supersymmetry transformation laws, and field equations. |
| first_indexed | 2024-04-11T23:58:22Z |
| format | Article |
| id | doaj.art-4d2d8a064a26448c8bfc274276f5ba93 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-04-11T23:58:22Z |
| publishDate | 2019-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-4d2d8a064a26448c8bfc274276f5ba932022-12-22T03:56:17ZengElsevierPhysics Letters B0370-26932019-08-01795331338AdS Carroll Chern-Simons supergravity in 2 + 1 dimensions and its flat limitLucrezia Ravera0INFN, Sezione di Milano, Via Celoria 16, I-20133 Milano, ItalyCarroll symmetries arise when the velocity of light is sent to zero (ultra-relativistic limit). In this paper, we present the construction of the three-dimensional Chern-Simons supergravity theory invariant under the so-called AdS Carroll superalgebra, which was obtained in the literature as a contraction of the AdS superalgebra. The action is characterized by two coupling constants. Subsequently, we study its flat limit, obtaining the three-dimensional Chern-Simons supergravity theory invariant under the super-Carroll algebra, which is a contraction of the Poincaré superalgebra. We apply the flat limit at the level of the superalgebra, Chern-Simons action, supersymmetry transformation laws, and field equations.http://www.sciencedirect.com/science/article/pii/S0370269319304046 |
| spellingShingle | Lucrezia Ravera AdS Carroll Chern-Simons supergravity in 2 + 1 dimensions and its flat limit Physics Letters B |
| title | AdS Carroll Chern-Simons supergravity in 2 + 1 dimensions and its flat limit |
| title_full | AdS Carroll Chern-Simons supergravity in 2 + 1 dimensions and its flat limit |
| title_fullStr | AdS Carroll Chern-Simons supergravity in 2 + 1 dimensions and its flat limit |
| title_full_unstemmed | AdS Carroll Chern-Simons supergravity in 2 + 1 dimensions and its flat limit |
| title_short | AdS Carroll Chern-Simons supergravity in 2 + 1 dimensions and its flat limit |
| title_sort | ads carroll chern simons supergravity in 2 1 dimensions and its flat limit |
| url | http://www.sciencedirect.com/science/article/pii/S0370269319304046 |
| work_keys_str_mv | AT lucreziaravera adscarrollchernsimonssupergravityin21dimensionsanditsflatlimit |