1202.3305 (D. Kovacevic et al.)

Generalized kappa-Poincare algebras, Hopf algebras and kappa-Minkowski
spacetime    [PDF]

D. Kovacevic, S. Meljanac, A. Pachol, R. Strajn

We propose a generalized description for the kappa-Poincare Hopf algebra as
symmetry quantum group of underlying kappa-Minkowski spacetime. We investigate
all the possible implementations of (deformed) Lorentz algebras which are
compatible with the given choice of kappa-Minkowski algebra realization. For
the given realization of kappa-Minkowski spacetime there is a unique
kappa-Poincare Hopf algebra with undeformed Lorentz algebra. We have
constructed a two-parameter family of deformed Lorentz generators with
kappa-Poincare algebras which are related to kappa-Poincare Hopf algebra with
undeformed Lorentz algebra. Known bases of kappa-Poincare Hopf algebra are
obtained as special cases. We have also presented an infinite class of basis of
kappa-deformed igl(1,3) Hopf algebra which are compatible with the
kappa-Minkowski spacetime. Some physical applications are briefly discussed.

View original: http://arxiv.org/abs/1202.3305