Naslov
Interpolations between Jordanian twists, the Poincaré-Weyl algebra and dispersion relations

Autori
Meljanac, Daniel ; Meljanac, Stjepan ; Škoda, Zoran ; Štrajn, Rina

Izvornik
International journal of modern physics A (0217-751X) 35 (2020), 08; 2050034, 15

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Jordanian twist ; Poincaré-Weyl algebra ; dispersion relation

Sažetak
We consider a two parameter family of Drinfeld twists generated from a simple Jordanian twist further twisted by 1-cochains. Twists from this family interpolate between two simple Jordanian twists. Relations between them are constructed and discussed. It is proved that there exists a one parameter family of twists identical to a simple Jordanian twist. The twisted coalgebra, star product and coordinate realizations of the κ-Minkowski noncommutative space time are presented. Real forms of Jordanian deformations are also discussed. The method of similarity transformations is applied to the Poincaré-Weyl Hopf algebra and two types of one parameter families of dispersion relations are constructed. Mathematically equivalent deformations, that are related to nonlinear changes of symmetry generators and linked with similarity maps, may lead to differences in the description of physical phenomena.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Fizika

Napomena
GA18-00496S je projekt Češke znanstvene fondacije. Od autora članka, član projekta je Z. Škoda.

POVEZANOST RADA