Interpolations between Jordanian twists, the Poincaré-Weyl algebra and dispersion relations (CROSBI ID 276098)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Meljanac, Daniel ; Meljanac, Stjepan ; Škoda, Zoran ; Štrajn, Rina
engleski
Interpolations between Jordanian twists, the Poincaré-Weyl algebra and dispersion relations
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.
Jordanian twist ; Poincaré-Weyl algebra ; dispersion relation
GA18-00496S je projekt Češke znanstvene fondacije. Od autora članka, član projekta je Z. Škoda.
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Podaci o izdanju
35 (08)
2020.
2050034
15
objavljeno
0217-751X
1793-656X
10.1142/S0217751X20500347