q-de Sitter and k-Poincaré symmetries in Chern-Simons (2+1)D gravity with cosmological constant

by Giacomo Rosati (Università di Cagliari)

Thursday 25 Jan 2018, 17:00 → 18:00 Europe/Rome

Aula Conversi (Dip. di Fisica - Edificio G. Marconi)

Exploiting the "quantum duality principle" between Hopf algebras and Lie Poisson groups I show that, within a Chern-Simons formulation, a point particle coupled to Lorentzian (2+1)D gravity with cosmological constant acquires, in a deformation-quantization scheme, deformed relativistic symmetries of q-de Sitter type that reduce to (2+1)D k-Poincaré symmetries in the limit of vanishing cosmological constant.