On Light-like Deformations of the Poincaré Algebra

Zhanna Kuznetsova, Francesco Toppan


We investigate the observational consequences of the light-like deformations of the Poincar´e algebra induced by the jordanian and the extended jordanian classes of Drinfel’d twists. Twist-deformed generators belonging to a Universal Enveloping Algebra close non-linear W -algebras. In some cases the W -algebra is responsible for the existence of bounded domains of the deformed generators. The Hopf algebra coproduct implies associative non-linear 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 in-vertible hermitian operator.

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