Poincaré Covariant k-Minkowski Spacetime

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".

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

References in corpus (4)

• Quantum Spacetime: a Disambiguation
• Lorentz Covariant k-Minkowski Spacetime
• Highly-damped quasi-normal frequencies for piecewise Eckart potentials
• Canonical k-Minkowski Spacetime

Cited by in corpus (4)

• $\kappa$-Minkowski Spacetimes and DSR Algebras: Fresh Look and Old Problems
• $\kappa$-Poincaré invariant quantum field theories with KMS weight
• Quantum Spacetime: a Disambiguation
• The Weyl-Mellin quantization map for $\kappa$-Minkowski Noncommutative Spacetime