English

Quantum groups and noncommutative spacetimes with cosmological constant

High Energy Physics - Theory 2017-08-22 v2 General Relativity and Quantum Cosmology Mathematical Physics math.MP

Abstract

Noncommutative spacetimes are widely believed to model some properties of the quantum structure of spacetime at the Planck regime. In this contribution the construction of (anti-)de Sitter noncommutative spacetimes obtained through quantum groups is reviewed. In this approach the quantum deformation parameter zz is related to a Planck scale, and the cosmological constant Λ\Lambda plays the role of a second deformation parameter of geometric nature, whose limit Λ0\Lambda\to 0 provides the corresponding noncommutative Minkowski spacetimes.

Keywords

Cite

@article{arxiv.1702.04704,
  title  = {Quantum groups and noncommutative spacetimes with cosmological constant},
  author = {A. Ballesteros and I. Gutiérrez-Sagredo and F. J. Herranz and C. Meusburger and P. Naranjo},
  journal= {arXiv preprint arXiv:1702.04704},
  year   = {2017}
}

Comments

10 pages. Based on the contribution presented at "Eighth International Workshop DICE2016", Castello Pasquini in Castiglioncello, Italy, September 12-16, 2016

R2 v1 2026-06-22T18:19:27.490Z