Two-parameter deformation of the Poincaré algebra

Abstract

We examine a two-parameter ($\hslash ,$ $\lambda$) deformation of the Poincarè algebra which is covariant under the action of $S{L}_q(2,C).$ When $\lambda \to 0$ it yields the Poincarè algebra, while in the $\hslash \to 0$ limit we recover the classical quadratic algebra discussed previously in \cite{ssy95}, \cite{sy95}. The analogues of the Pauli-Lubanski vector $w$ and Casimirs $p^2$ and $w^2$ are found and a set of mutually commuting operators is constructed.

10 pages, Latex2e

Cited by in corpus (1)

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