Prof. Angel Ballesteros "Drinfeld doubles and noncommutative spacetimes with cosmological constant"

Monday 30 Nov 2015, 16:00 → 18:00 Europe/Rome

Aula A (Dipartimento di Matematica e Fisica)

Abstract: Quantum groups provide a solid mathematical background for the introduction of non-commutative spacetimes,deformed dispersion relations and curved momentum spaces,three concepts that can be meaningful in Quantum Gravity phenomenology. In this contribution we present some recent results on two specific quantum deformations of (Anti) de Sitter groups and algebras in (2+1) dimensions that have been shown to be compatible with the Chern- Simons approach to gravity coupled with point particles. Such compatibility is guaranteed by the underlying Drinfeld double structure of the (A)dS Lie algebra in (2+1) dimensions, and it reflects the emergence of quantum doubles in the quantization of (2+1) gravity. The first results concerning the (3+1) dimensional generalization of this approach will be also resented,and the role of the cosmological constant in all these quantum structures will be emphasized.