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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F20%3A50017433" target="_blank" >RIV/62690094:18470/20:50017433 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.worldscientific.com/doi/abs/10.1142/S0217751X20500347" target="_blank" >https://www.worldscientific.com/doi/abs/10.1142/S0217751X20500347</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S0217751X20500347" target="_blank" >10.1142/S0217751X20500347</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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 kappa-Minkowski non-commutative space-time are presented. Real forms of Jordanian deformations are also discussed. The method of similarity transformations is applied to the Poincare-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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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 kappa-Minkowski non-commutative space-time are presented. Real forms of Jordanian deformations are also discussed. The method of similarity transformations is applied to the Poincare-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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA18-00496S" target="_blank" >GA18-00496S: Singulární prostory ze speciální holonomie a foliací</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

INTERNATIONAL JOURNAL OF MODERN PHYSICS A

ISSN

0217-751X

e-ISSN

—

Svazek periodika

35

Číslo periodika v rámci svazku

8

Stát vydavatele periodika

SG - Singapurská republika

Počet stran výsledku

15

Strana od-do

"Article Number: 2050034"

Kód UT WoS článku

000527642800002

EID výsledku v databázi Scopus

—