Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-10-16
Eur. Phys. J. C (2008) 10052-008-0576-8
Physics
High Energy Physics
High Energy Physics - Theory
13 pages; small changes like a couple of footnotes etc
Scientific paper
10.1140/epjc/s10052-008-0576-8
By considering the nonrelativistic limit of de-Sitter geometry one obtains the nonrelativistic space-time with a cosmological constant and Newton-Hooke (NH) symmetries. We show that the NH symmetry algebra can be enlarged by the addition of the constant acceleration generators and endowed with central extensions (one in any dimension (D) and three in D=(2+1)). We present a classical Lagrangian and Hamiltonian framework for constructing models quasi-invariant under enlarged NH symmetries which depend on three parameters described by three nonvanishing central charges. The Hamiltonian dynamics then splits into external and internal sectors with new non-commutative structures of external and internal phase spaces. We show that in the limit of vanishing cosmological constant the system reduces to the one presented in [1] which possesses accelaration-enlarged Galilean symmetries.
Lukierski Jerzy
Stichel Peter C.
Zakrzewski Wojtek J.
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