On interpolations between Jordanian twists

Author:

Meljanac D.1,Meljanac S.2,Škoda Z.3,Štrajn R.4

Affiliation:

1. Division of Materials Physics, Rud̄er Bošković Institute, Bijenička cesta 54, 10002 Zagreb, Croatia

2. Division of Theoretical Physics, Rud̄er Bošković Institute, Bijenička cesta 54, 10002 Zagreb, Croatia

3. Department of Teachers’ Education, University of Zadar, Franje Tudjmana 24, 23000 Zadar, Croatia

4. Department of Electrical Engineering and Computing, University of Dubrovnik, Ćira Carića 4, 20000 Dubrovnik, Croatia

Abstract

We consider two families of Drinfeld twists generated from a simple Jordanian twist further twisted with 1-cochains. Using combinatorial identities, they are presented as a series expansion in the dilatation and momentum generators. These twists interpolate between two simple Jordanian twists. For an expansion of a family of twists [Formula: see text], we also show directly that the 2-cocycle condition reduces to previously proven identities.

Funder

Hrvatska Zaklada za Znanost

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Deformed Quantum Phase Spaces, Realizations, Star Products and Twists;Symmetry, Integrability and Geometry: Methods and Applications;2022-03-23

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