Physics NotePublished
On Light-like Deformations of the Poincaré Algebra
Zhanna Kuznetsova; F. Toppan
Publication details
- Authors
- Zhanna Kuznetsova; F. Toppan
- Type
- Physics Note
- Status
- Published
- Publication date
- 28/03/2018
- Description
- 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 invertible hermitian operator
- Year
- 2018
- Number
- CBPF-NF-002/18
- Linked to a thesis
- No
- Linked to a grant
- No