Conformal Galilei groups, Veronese curves and Newton-Hooke spacetimes | |
Duval, C.1,2,3,4; Horvathy, P. A.5 | |
刊名 | JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL |
2011-08-19 | |
卷号 | 44页码:21 |
ISSN号 | 1751-8113 |
DOI | 10.1088/1751-8113/44/33/335203 |
英文摘要 | Finite-dimensional nonrelativistic conformal Lie algebras spanned by polynomial vector fields of Galilei spacetime arise if the dynamical exponent is z = 2/N with N = 1, 2, .... Their underlying group structure and matrix representation are constructed (up to a covering) by means of the Veronese map of degree N. Suitable quotients of the conformal Galilei groups provide us with Newton-Hooke nonrelativistic spacetimes with a quantized reduced negative cosmological constant lambda = -N. |
WOS关键词 | LOCAL SCALE-INVARIANCE ; COSMOLOGICAL CONSTANT ; CHRONOPROJECTIVE GEOMETRY ; SCHRODINGER INVARIANCE ; CARTAN STRUCTURES ; CRITICAL SYSTEMS ; ALGEBRA ; SYMMETRIES ; TIME ; MANIFOLDS |
WOS研究方向 | Physics |
语种 | 英语 |
出版者 | IOP PUBLISHING LTD |
WOS记录号 | WOS:000294719000011 |
内容类型 | 期刊论文 |
源URL | [http://119.78.100.186/handle/113462/34972] |
专题 | 中国科学院近代物理研究所 |
通讯作者 | Duval, C. |
作者单位 | 1.Univ Aix Marseille 1, UMR CNRS 6207, Ctr Phys Theor, F-13288 Marseille 9, France 2.Univ Aix Marseille 2, UMR CNRS 6207, Ctr Phys Theor, F-13288 Marseille 9, France 3.Univ Sud Toulon Var, UMR CNRS 6207, Ctr Phys Theor, Toulon, France 4.Lab FRUMAM FR2291, Marseille, France 5.Chinese Acad Sci, Inst Modern Phys, Lanzhou, Peoples R China |
推荐引用方式 GB/T 7714 | Duval, C.,Horvathy, P. A.. Conformal Galilei groups, Veronese curves and Newton-Hooke spacetimes[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,2011,44:21. |
APA | Duval, C.,&Horvathy, P. A..(2011).Conformal Galilei groups, Veronese curves and Newton-Hooke spacetimes.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,44,21. |
MLA | Duval, C.,et al."Conformal Galilei groups, Veronese curves and Newton-Hooke spacetimes".JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 44(2011):21. |
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