Maxwell superalgebras and Abelian semigroup expansion
The Abelian semigroup expansion is a powerful and simple method to derive new Lie algebras from a given one. Recently it was shown that the S-expansion of so(3,2) leads us to the Maxwell algebra M. In this paper we extend this result to superalgebras, by proving that different choices of abelian sem...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2014-09-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321314002417 |
| _version_ | 1818534915325558784 |
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| author | P.K. Concha E.K. Rodríguez |
| author_facet | P.K. Concha E.K. Rodríguez |
| author_sort | P.K. Concha |
| collection | DOAJ |
| description | The Abelian semigroup expansion is a powerful and simple method to derive new Lie algebras from a given one. Recently it was shown that the S-expansion of so(3,2) leads us to the Maxwell algebra M. In this paper we extend this result to superalgebras, by proving that different choices of abelian semigroups S lead to interesting D=4 Maxwell Superalgebras. In particular, the minimal Maxwell superalgebra sM and the N-extended Maxwell superalgebra sM(N) recently found by the Maurer–Cartan expansion procedure, are derived alternatively as an S-expansion of osp(4|N). Moreover, we show that new minimal Maxwell superalgebras type sMm+2 and their N-extended generalization can be obtained using the S-expansion procedure. |
| first_indexed | 2024-12-11T18:17:50Z |
| format | Article |
| id | doaj.art-199ea97e902f4fb0839e4b819045a84e |
| institution | Directory Open Access Journal |
| issn | 0550-3213 1873-1562 |
| language | English |
| last_indexed | 2024-12-11T18:17:50Z |
| publishDate | 2014-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-199ea97e902f4fb0839e4b819045a84e2022-12-22T00:55:21ZengElsevierNuclear Physics B0550-32131873-15622014-09-01886C1128115210.1016/j.nuclphysb.2014.07.022Maxwell superalgebras and Abelian semigroup expansionP.K. Concha0E.K. Rodríguez1Departamento de Física, Universidad de Concepción, Casilla 160-C, Concepción, ChileDepartamento de Física, Universidad de Concepción, Casilla 160-C, Concepción, ChileThe Abelian semigroup expansion is a powerful and simple method to derive new Lie algebras from a given one. Recently it was shown that the S-expansion of so(3,2) leads us to the Maxwell algebra M. In this paper we extend this result to superalgebras, by proving that different choices of abelian semigroups S lead to interesting D=4 Maxwell Superalgebras. In particular, the minimal Maxwell superalgebra sM and the N-extended Maxwell superalgebra sM(N) recently found by the Maurer–Cartan expansion procedure, are derived alternatively as an S-expansion of osp(4|N). Moreover, we show that new minimal Maxwell superalgebras type sMm+2 and their N-extended generalization can be obtained using the S-expansion procedure.http://www.sciencedirect.com/science/article/pii/S0550321314002417 |
| spellingShingle | P.K. Concha E.K. Rodríguez Maxwell superalgebras and Abelian semigroup expansion Nuclear Physics B |
| title | Maxwell superalgebras and Abelian semigroup expansion |
| title_full | Maxwell superalgebras and Abelian semigroup expansion |
| title_fullStr | Maxwell superalgebras and Abelian semigroup expansion |
| title_full_unstemmed | Maxwell superalgebras and Abelian semigroup expansion |
| title_short | Maxwell superalgebras and Abelian semigroup expansion |
| title_sort | maxwell superalgebras and abelian semigroup expansion |
| url | http://www.sciencedirect.com/science/article/pii/S0550321314002417 |
| work_keys_str_mv | AT pkconcha maxwellsuperalgebrasandabeliansemigroupexpansion AT ekrodriguez maxwellsuperalgebrasandabeliansemigroupexpansion |