Séminaire de Physique Théoriquekappa-Poincare and QFT
Thursday 26 March 2009 14:00 - Tours - Salle 1180 (Bât E2)
I will discuss the so-called kappa-deformation of the Poincare symmetry and its consequences at the level of asymptotic n-particle states in QFT. In particular, I will explain how the existence of certain algebraic structures on the quantum group of kappa-Poincare makes it a triangular quasi-Hopf algebra and how this, in turn, guarantees the existence of natural and consistent kappa-covariant notions of identical particles and statistics. Proving the existence of these algebraic structures relies on the construction of a refined version of the Chevalley-Eilenberg cohomology for symmetric semisimple Lie algebras which will turn out to control the twisting properties of a family of non-semisimple quantum groups, including kappa-Poincare, obtained by contraction.