2016/11/30 by J. Lukierski, Jerzy Lukierski
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Axiom #Black Holes and Theoretical Physics #Covariant transformation #Geometry #Homogeneous space #Hopf algebra #Kappa #Mathematical physics #Mathematics #Minkowski space #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Perspective (graphical) #Physics #Pure mathematics #Special relativity #Superstring theory #Supersymmetry #Theoretical physics #Theory of relativity #hep-th
paper · pdf · doi:10.1088/1742-6596/804/1/012028
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
arxiv created 2016/11/30 · openalex publication_date 2017/01/01 · arxiv updated 2017/04/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 × S5 superstring target spaces (arXiv:1510.030.83).