52 citations · 270 across the 29 of their papers we have counts for
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Noncommutative spacetimes versus noncommutative spaces of geodesics
Francisco J. Herranz, Angel Ballesteros, Giulia Gubitosi +1
The aim of this contribution is twofold. First, we show that when two (or more) different quantum groups share the same noncommutative spacetime, such an 'ambiguity' can be resolve…
-Galilean and -Carrollian noncommutative spaces of worldlines
Angel Ballesteros, Giulia Gubitosi, Ivan Gutierrez-Sagredo +1
The noncommutative spacetimes associated to the -Poincaré relativistic symmetries and their "non-relativistic" (Galilei) and "ultra-relativistic" (Carroll) limits are indistingu…
All noncommutative spaces of -Poincaré geodesics
Angel Ballesteros, Ivan Gutierrez-Sagredo, Francisco J. Herranz
Noncommutative spaces of geodesics provide an alternative way of introducing noncommutative relativistic kinematics endowed with quantum group symmetry. In this paper we present ex…
The noncommutative space of light-like worldlines
Angel Ballesteros, Ivan Gutierrez-Sagredo, Francisco J. Herranz
The noncommutative space of light-like worldlines that is covariant under the light-like (or null-plane) -deformation of the (3+1) Poincaré group is fully constructed as the qua…
Fuzzy worldlines with -Poincaré symmetries
Angel Ballesteros, Giulia Gubitosi, Ivan Gutierrez-Sagredo +1
A novel approach to study the properties of models with quantum-deformed relativistic symmetries relies on a noncommutative space of worldlines rather than the usual noncommutative…
Cayley-Klein Lie bialgebras: Noncommutative spaces, Drinfel'd doubles and kinematical applications
Ivan Gutierrez-Sagredo, Francisco J. Herranz
The Cayley-Klein (CK) formalism is applied to the real algebra by making use of four graded contraction parameters describing in a unified setting 81 Lie algebras, which…
The -Newtonian and -Carrollian algebras and their noncommutative spacetimes
Angel Ballesteros, Giulia Gubitosi, Ivan Gutierrez-Sagredo +1
We derive the non-relativistic and ultra-relativistic limits of the -deformed symmetries and corresponding spacetime in (3+1) dimensions, with and without…
Quantum groups, non-commutative Lorentzian spacetimes and curved momentum spaces
Ivan Gutierrez-Sagredo, Angel Ballesteros, Giulia Gubitosi +1
The essential features of a quantum group deformation of classical symmetries of General Relativity in the case with non-vanishing cosmological constant are presented. We fully…
Noncommutative spaces of worldlines
Angel Ballesteros, Ivan Gutierrez-Sagredo, Francisco J. Herranz
The space of time-like geodesics on Minkowski spacetime is constructed as a coset space of the Poincaré group in (3+1) dimensions with respect to the stabilizer of a worldline. Whe…
Curved momentum spaces from quantum groups with cosmological constant
A. Ballesteros, G. Gubitosi, I. Gutierrez-Sagredo +1
We bring the concept that quantum symmetries describe theories with nontrivial momentum space properties one step further, looking at quantum symmetries of spacetime in presence of…
Quantum groups and noncommutative spacetimes with cosmological constant
A. Ballesteros, I. Gutiérrez-Sagredo, F. J. Herranz +2
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-)d…