Quantum Anti-de Sitter Space

Details Quantum Anti-de Sitter Space Quantum Anti-de Sitter Space

1999-04-13

arxiv.org/abs/hep-th/9904091v1

Eur.Phys.J.C17:527-534,2000

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, no figures

Scientific paper

10.1007/s100520000498

The quantum Anti-de Sitter (AdS) group and quantum AdS space is discussed. Ways of getting the quantum AdS group from real forms of quantum orthogonal group are presented. Differential calculus on the quantum AdS space are also introduced. In particular, reality of differential calculus are given. We set up explicit relationships between quantum group and quantum algebra, which can be refereed as the quantum counterpart of the classical exponential. By this way, quantum AdS algebra is deduced from conjugation on the quantum AdS group.

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