Conformal Galilei groups, Veronese curves, and Newton-Hooke spacetimes
Apr, 2011Citations per year
Abstract: (arXiv)
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.Note:
- LaTeX, 31 pages. Sections 3 and 5 reorganized. Conclusion expanded. New references added
- Schroedinger algebra
- conformal Galilei algebras and Galilei groups
- Newton-Cartan theory
- Veronese maps
- Newton-Hooke spacetimes
- cosmological constant
- group: Galilei
- group: conformal
- space-time: Galilei
- cosmological constant: negative
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