Towards ℓ-conformal Galilei algebra via contraction of the conformal group
We show that the Inönü-Wigner contraction of so(ℓ+1,ℓ+d) with the integer ℓ>1 may lead to algebra which contains a variety of conformal extensions of the Galilei algebra as subalgebras. These extensions involve the ℓ-conformal Galilei algebra in d spatial dimensions as well as l-conformal Galilei...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-01-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321323003115 |
| _version_ | 1797391894260482048 |
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| author | Ivan Masterov |
| author_facet | Ivan Masterov |
| author_sort | Ivan Masterov |
| collection | DOAJ |
| description | We show that the Inönü-Wigner contraction of so(ℓ+1,ℓ+d) with the integer ℓ>1 may lead to algebra which contains a variety of conformal extensions of the Galilei algebra as subalgebras. These extensions involve the ℓ-conformal Galilei algebra in d spatial dimensions as well as l-conformal Galilei algebras in one spatial dimension with l=3, 5, ..., (2ℓ−1). |
| first_indexed | 2024-03-08T23:39:19Z |
| format | Article |
| id | doaj.art-07ad6dd4f5dd4c5a8a521027984a82d0 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-03-08T23:39:19Z |
| publishDate | 2024-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-07ad6dd4f5dd4c5a8a521027984a82d02023-12-14T05:20:35ZengElsevierNuclear Physics B0550-32132024-01-01998116395Towards ℓ-conformal Galilei algebra via contraction of the conformal groupIvan Masterov0Tomsk Polytechnic University, 634050, Tomsk, Lenin Ave. 30, RussiaWe show that the Inönü-Wigner contraction of so(ℓ+1,ℓ+d) with the integer ℓ>1 may lead to algebra which contains a variety of conformal extensions of the Galilei algebra as subalgebras. These extensions involve the ℓ-conformal Galilei algebra in d spatial dimensions as well as l-conformal Galilei algebras in one spatial dimension with l=3, 5, ..., (2ℓ−1).http://www.sciencedirect.com/science/article/pii/S0550321323003115 |
| spellingShingle | Ivan Masterov Towards ℓ-conformal Galilei algebra via contraction of the conformal group Nuclear Physics B |
| title | Towards ℓ-conformal Galilei algebra via contraction of the conformal group |
| title_full | Towards ℓ-conformal Galilei algebra via contraction of the conformal group |
| title_fullStr | Towards ℓ-conformal Galilei algebra via contraction of the conformal group |
| title_full_unstemmed | Towards ℓ-conformal Galilei algebra via contraction of the conformal group |
| title_short | Towards ℓ-conformal Galilei algebra via contraction of the conformal group |
| title_sort | towards l conformal galilei algebra via contraction of the conformal group |
| url | http://www.sciencedirect.com/science/article/pii/S0550321323003115 |
| work_keys_str_mv | AT ivanmasterov towardslconformalgalileialgebraviacontractionoftheconformalgroup |