Conformal Galilei groups, Veronese curves, and Newton-Hooke spacetimes

Details Conformal Galilei groups, Veronese curves, and Newton-Hooke spacetimes Conformal Galilei groups, Veronese curves, and Newton-Hooke spacetimes

2011-04-08

arxiv.org/abs/1104.1502v3

Journal of Physics A: Mathematical and Theoretical 44 (2011) 335203

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 31 pages. Sections 3 and 5 reorganized. Conclusion expanded. New references added

Scientific paper

10.1088/1751-8113/44/33/335203

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.

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