43 citations · 133 across the 8 of their papers we have counts for
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Quantum (anti)de Sitter algebras and generalizations of the kappa-Minkowski space
Angel Ballesteros, N. Rossano Bruno, Francisco J. Herranz
We present two different quantum deformations for the (anti)de Sitter algebras and groups. The former is a non-standard (triangular) deformation of SO(4,2) realized as the conforma…
On 3+1 anti-de Sitter and de Sitter Lie bialgebras with dimensionful deformation parameters
Angel Ballesteros, N. Rossano Bruno, Francisco J. Herranz
We analyze among all possible quantum deformations of the 3+1 (anti)de Sitter algebras, so(3,2) and so(4,1), which have two specific non-deformed or primitive commuting operators:…
Conformal group with two observer independent scales
Nicola Rossano Bruno
The Poincaré sector of a recently deformed conformal algebra is proposed to describe, after the identification of the deformation parameter with the Planck length, the symmetries o…
Non-commutative relativistic spacetimes and worldlines from 2+1 quantum (anti-)de Sitter groups
Angel Ballesteros, N. Rossano Bruno, Francisco J. Herranz
The -deformation of the (2+1)D anti-de Sitter, Poincaré and de Sitter groups is presented through a unified approach in which the curvature of the spacetime (or the cosmological…
A non-commutative Minkowskian spacetime from a quantum AdS algebra
Angel Ballesteros, N Rossano Bruno, Francisco J. Herranz
A quantum deformation of the conformal algebra of the Minkowskian spacetime in dimensions is identified with a deformation of the -dimensional AdS algebra. Both Mink…
A new Doubly Special Relativity theory from a quantum Weyl-Poincare algebra
Angel Ballesteros, N. Rossano Bruno, Francisco J. Herranz
A mass-like quantum Weyl-Poincare algebra is proposed to describe, after the identification of the deformation parameter with the Planck length, a new relativistic theory with two…