https://doi.org/10.1140/epjc/s10052-019-6548-3
Regular Article - Theoretical Physics
On light-like deformations of the Poincaré algebra
1
UFABC, Av. dos Estados 5001, Bangu, Santo André, SP, CEP 09210-580, Brazil
2
CBPF, Rua Dr. Xavier Sigaud 150, Urca, Rio de Janeiro, RJ, CEP 22290-180, Brazil
* e-mail: toppan@cbpf.br
Received:
31
March
2018
Accepted:
29
December
2018
Published online:
16
January
2019
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.
© The Author(s), 2019
