arXiv Open Access 2007

Acceleration-Enlarged Symmetries in Nonrelativistic Space-Time with a Cosmological Constant

J. Lukierski P. C. Stichel W. J. Zakrzewski

Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

hep-th

Penulis (3)

J. Lukierski

P. C. Stichel

W. J. Zakrzewski

Format Sitasi

APA MLA BibTeX

Lukierski, J., Stichel, P.C., Zakrzewski, W.J. (2007). Acceleration-Enlarged Symmetries in Nonrelativistic Space-Time with a Cosmological Constant. https://arxiv.org/abs/0710.3093

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2007
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓