English

Poincar\'e Covariant k-Minkowski Spacetime

High Energy Physics - Theory 2012-06-12 v2

Abstract

A fully Poincare' covariant model is constructed out of the k-Minkowski spacetime. Covariance is implemented by a unitary representation of the Poincare' group, and thus complies with the original Wigner approach to quantum symmetries. This provides yet another example (besides the DFR model), where Poincare' covariance is realised a` la Wigner in the presence of two characteristic dimensionful parameters: the light speed and the Planck length. In other words, a Doubly Special Relativity (DSR) framework may well be realised without deforming the meaning of "Poincare covariance".

Keywords

Cite

@article{arxiv.1006.5658,
  title  = {Poincar\'e Covariant k-Minkowski Spacetime},
  author = {Ludwik Dabrowski and Gherardo Piacitelli},
  journal= {arXiv preprint arXiv:1006.5658},
  year   = {2012}
}

Comments

9 pages, with active links. Minor changes in presentation. To appear on PLA

R2 v1 2026-06-21T15:42:30.942Z