κ–de Sitter and κ-Poincaré symmetries emerging from Chern-Simons (2+1)D gravity with a cosmological constant

Giacomo Rosati
Phys. Rev. D 96, 066027 – Published 21 September 2017

Abstract

Defining a new r-matrix compatible with the scalar product at the basis of the Chern-Simons action for a particle coupled to (2+1) Lorentzian gravity with cosmological constant, I show how deformed symmetries of κ-de Sitter and, in the vanishing cosmological limit, of κ-Poincaré kind, arise naturally as quantum deformation of three dimensional gravity. I obtain, moreover, the noncommutative spacetime associated with these kinds of symmetries.

  • Received 19 June 2017

DOI:https://doi.org/10.1103/PhysRevD.96.066027

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Particles & FieldsGravitation, Cosmology & AstrophysicsGeneral Physics

Authors & Affiliations

Giacomo Rosati*

  • INFN, Sezione di Cagliari Cittadella Universitaria, 09042 Monserrato, Italy

  • *giacomo.rosati@ca.infn.it

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Issue

Vol. 96, Iss. 6 — 15 September 2017

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