Kappa-deformations: historical developments and recent results

24th International Conference on Integrable Systems and Quantum symmetries

Lukierski, Jerzy^1

Institute for Theoretical Physics, University of Wroclaw, Poland^1

关键词: Covariant;    Historical development;    Historical perspective;    Hopf algebras;    Minkowski space;    Phase spaces;    Special relativity;    Target space;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/804/1/012028/pdf
DOI  :  10.1088/1742-6596/804/1/012028

来源: IOP

【 摘 要 】

I shall recall in historical perspective some results from nineties and show further how κ-deformed symmetries and κ-Minkowski space inspired DSR (Doubly of Deformed Special Relativity) approach proposed after 2000. As very recent development I shall show how to describe quantum-covariant κ-deformed phase spaces by passing from Hopf algebras to Hopf algebroids (arXiv:1507.02612) and I will briefly describe the κ-deformations of AdS5× S5superstring target spaces (arXiv:1510.030.83).