On Light-like Deformations of the Poincaré Algebra

Abstract

We investigate the observational consequences of the light-like deformations of the Poincaré algebra induced by the jordanian and the extended jordanian classes of Drinfel'd twists. Twist-deformed generators belonging to a Universal Enveloping Algebra close nonlinear algebras. In some cases the nonlinear algebra is responsible for the existence of bounded domains of the deformed generators. The Hopf algebra coproduct implies associative nonlinear additivity of the multi-particle states. A subalgebra of twist-deformed observables is recovered whenever the twist-deformed generators are either hermitian or pseudo-hermitian with respect to a common invertible hermitian operator.

18 pages; final version to appear in Eur. Phys. J. C

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Cited by in corpus (2)

• $\kappa$-deformed BMS symmetry
• BMS algebras in 4 and 3 dimensions, their quantum deformations and duals