Twisted h-spacetimes and invariant equations

Details Twisted h-spacetimes and invariant equations Twisted h-spacetimes and invariant equations

1997-02-21

arxiv.org/abs/q-alg/9702026v1

Z.Phys.C76:567-576,1997

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, plain-LaTex file

Scientific paper

10.1007/s002880050579

We analyze the h-deformations of the Lorentz group and their associated spacetimes. We prove that they have a twisted character and give explicitly the twisting matrices. After studying the representations of one of the deformed spacetime algebras, we discuss the Klein-Gordon operator. It is found that the h-deformed d'Alembertian has plane wave solutions of the same form as the standard ones. We also give explicit expressions for the h-gamma matrices defining the associated Dirac equations.

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