Interpolations between Jordanian Twists Induced by Coboundary Twists

Symmetry Integrability and Geometry-Methods and Applications

article

Andrzej Borowiec¹  Daniel Meljanac²  Stjepan Meljanac³  Anna Pachoł⁴ 

[1] Institute of Theoretical Physics, University of Wroclaw;Division of Materials Physics, Ruder Bošković Institute;Division of Theoretical Physic, Ruder Bošković Institute;University of London

关键词: twist deformation;    Hopf algebras;    coboundary twists;    star-products;    real forms;   

DOI  :  10.3842/SIGMA.2019.054

来源: National Academy of Science of Ukraine

【 摘 要 】

We propose a new generalisation of the Jordanian twist (building on the previous idea from [Meljanac S., Meljanac D., Pachoł A., Pikutić D., J. Phys. A: Math. Theor. 50 (2017), 265201, 11 pages]). Obtained this way, the family of the Jordanian twists allows for interpolation between two simple Jordanian twists. This new version of the twist provides an example of a new type of star product and the realization for noncommutative coordinates. Real forms of new Jordanian deformations are also discussed. Exponential formulae, used to obtain coproducts and star products, are presented with details.

【 授权许可】

Unknown