K-Poincare-Hopf algebra and Hopf algebroid structure of phase space from twist

2013/03/31 by Tajron Juric, Stjepan Meljanac, Rina Strajn · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1016/j.physleta.2013.07.021

published as Physics Letters A 377 (2013), pp. 2472-2476 · 12 pages, minor typos corrected, published in PLA

arxiv created 2013/09/09 · arxiv updated 2013/09/10

Abstract

We unify k-Poincare algebra and k-Minkowski spacetime by embeding them into quantum phase space. The quantum phase space has Hopf algebroid structure to which we apply the twist in order to get k- deformed Hopf algebroid structure and k-deformed phase space. We explicitly construct k-Poincare-Hopf algebra and k-Minkowski spacetime from twist. It is outlined how this construction can be extended to k-deformed super algebra including exterior derivative and forms. Our results are relevant for constructing physical theories on noncommutative spacetime by twisting Hopf algebroid phase space structure.

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• Dual κ-Minkowski spaces and κ-Poincaré algebras from Yang model and their Weyl realizations

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