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arXiv · 1104.1502

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

Christian Duval·Peter Horvathy
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Abstract

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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Christian Duval, Peter Horvathy. 2011-04-08. Conformal Galilei groups, Veronese curves, and Newton-Hooke spacetimes. https://doi.org/10.1088/1751-8113/44/33/335203

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