New quantum (anti)de Sitter algebras and discrete symmetries

Details New quantum (anti)de Sitter algebras and discrete symmetries New quantum (anti)de Sitter algebras and discrete symmetries

2002-05-17

arxiv.org/abs/hep-ph/0205190v1

Phys.Lett. B543 (2002) 89-97

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, LaTeX

Scientific paper

10.1016/S0370-2693(02)02452-8

Two new quantum anti-de Sitter so(4,2) and de Sitter so(5,1) algebras are presented. These deformations are called either time-type or space-type according to the dimensional properties of the deformation parameter. Their Hopf structure, universal R matrix and differential-difference realization are obtained in a unified setting by considering a contraction parameter related to the speed of light, which ensures a well defined non-relativistic limit. Such quantum algebras are shown to be symmetry algebras of either time or space discretizations of wave/Laplace equations on uniform lattices. These results lead to a proposal fortime and space discrete Maxwell equations with quantum algebra symmetry.

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