QG4 - Loop Quantum gravity, Quantum Geometry, Spin Foams |
Speaker_ |
Lukierski, Jerzy |
Talk _ |
Quantum space-time and twisted relativistic symmetries |
Abstract _ |
We consider various D=4 quantum symmetries generated by twist and the corresponding classes of quantum-covariant noncommutative Minkowski spaces. The cases with Abelian and non-Abelian twists will be presented. Constant, linear and quadratic space-time commutators will be considered. We shall describe also the twisted AdS symmetries and provide their quantum Poincare contraction limits. The extension of twisted relativistic symmetries to local diffeomorphisms and its application to deformed general relativity will be pointed out. |