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Kappa-Deformations: Historical Developments and Recent Results

Authors :
Lukierski, Jerzy
Publication Year :
2016

Abstract

I shall recall in historical perspective some results from nineties and show further how $\kappa$-deformed symmetries and $\kappa$-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 $\kappa$-deformed phase spaces by passing from Hopf algebras to Hopf algebroids (arXiv:1507.02612) and I will briefly describe the $\kappa$-deformations of $AdS_5 \times S^5$ superstring target spaces (arXiv:1510.030.83).<br />Comment: 19 pages; presented at ISQS24 Conference on Integrable Systems and Quantum Symmetries, Prague (Czech Republik), 14.06-18.06.2016, 3-rd POTOR (Polish Society on Relativity) Conference, Cracov (Poland), 25-29.09.2016 and 5-th Conference "New Trends in Field Theories", Varanasi (India), 06.11-10.11.2016. To be published in JPhysA, Conf.Series

Subjects

Subjects :
High Energy Physics - Theory

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1611.10213
Document Type :
Working Paper
Full Text :
https://doi.org/10.1088/1742-6596/804/1/012028