Kappa-deformation of phase space; generalized Poincare algebras and R-matrix
Abstract
We deform Heisenberg algebra and corresponding coalgebra by twist. We present undeformed and deformed tensor identities. Coalgebras for the generalized Poincaré algebras have been constructed. The exact universal
R
-matrix for the deformed Heisenberg (co)algebra is found. We show, up to the third order in the deformation parameter, that in the case of
κ
-Poincaré Hopf algebra this
R
-matrix can be expressed in terms of Poincaré generators only. This implies that the states of any number of identical particles can be defined in a
κ
-covariant way.