506 citations · 2.1k across the 75 of their papers we have counts for
21 papers · 1 filter
Bicrossproduct vs. twist quantum symmetries in noncommutative geometries: the case of -Minkowski
Giuseppe Fabiano, Giulia Gubitosi, Fedele Lizzi +2
We discuss the quantum Poincaré symmetries of the -Minkowski spacetime, a space characterised by an angular form of noncommutativity. We show that it is possible to give t…
-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…
Deformed relativistic symmetry principles
Michele Arzano, Giulia Gubitosi, José Javier Relancio
We review the main features of models where relativistic symmetries are deformed at the Planck scale. We cover the motivations and links to other quantum gravity approaches. We des…
Diffeomorphisms in momentum space: physical implications of different choices of momentum coordinates in the Galilean Snyder model
Giulia Gubitosi, Salvatore Mignemi
It has been pointed out that different choices of momenta can be associated to the same noncommutative spacetime model. The question of whether these momentum spaces, related by di…
Double Quantization
Giulia Gubitosi, Fedele Lizzi, José Javier Relancio +1
In a quantum gravity theory, it is expected that the classical notion of spacetime disappears, leading to a quantum structure with new properties. A possible way to take into accou…
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…
Generalized noncommutative Snyder spaces and projective geometry
Giulia Gubitosi, Angel Ballesteros, Francisco J. Herranz
Given a group of kinematical symmetry generators, one can construct a compatible noncommutative spacetime and deformed phase space by means of projective geometry. This was the mai…
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…
Lorentzian Snyder spacetimes and their Galilei and Carroll limits from projective geometry
Angel Ballesteros, Giulia Gubitosi, Francisco J. Herranz
We show that the Lorentzian Snyder models, together with their Galilei and Carroll limiting cases, can be rigorously constructed through the projective geometry description of Lore…
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…
Consistent early and late time cosmology from the RG flow of gravity
Giulia Gubitosi, Robin Ooijer, Chris Ripken +1
We investigate the compatibility of cosmological constraints on inflation and the cosmological constant with the asymptotic safety scenario of quantum gravity. The effective action…
Thermal and spectral dimension of (generalized) Snyder noncommutative spacetimes
Giovanni Amelino-Camelia, Flaminia Giacomini, Giulia Gubitosi
We report an investigation of the Snyder noncommutative spacetime and of some of its most natural generalizations, also looking at them as a powerful tool for comparing different n…
Curved momentum spaces from quantum (Anti-)de Sitter groups in (3+1) dimensions
Angel Ballesteros, Giulia Gubitosi, Iván Gutiérrez-Sagredo +1
Curved momentum spaces associated to the -deformation of the (3+1) de Sitter and Anti-de Sitter algebras are constructed as orbits of suitable actions of the dual Poisson-Lie gr…
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…
Thermal dimension of quantum spacetime
Giovanni Amelino-Camelia, Francesco Brighenti, Giulia Gubitosi +1
Recent results suggest that a crucial crossroad for quantum gravity is the characterization of the effective dimension of spacetime at short distances, where quantum properties of…
The Effective Field Theory of Dark Energy
Giulia Gubitosi, Federico Piazza, Filippo Vernizzi
We propose a universal description of dark energy and modified gravity that includes all single-field models. By extending a formalism previously applied to inflation, we consider…
Conserved charges and quantum-group transformations in noncommutative field theories
Giovanni Amelino-Camelia, Giulia Gubitosi, Flavio Mercati +1
The recently-developed techniques of Noether analysis of the quantum-group spacetime symmetries of some noncommutative field theories rely on the {\it ad hoc} introduction of some…
Discreteness of area in noncommutative space
Giovanni Amelino-Camelia, Giulia Gubitosi, Flavio Mercati
We introduce an area operator for the Moyal noncommutative plane. We find that the spectrum is discrete, but, contrary to the expectation formulated by other authors, not character…
On the distance observable in the Moyal plane and in a novel two-dimensional space with string-theory pregeometry
Giovanni Amelino-Camelia, Giulia Gubitosi, Flavio Mercati
Motivation for the study of spacetime noncommutativity comes primarily from its possible use in investigations of (Planck-scale) spacetime fuzziness, but most work focuses on S-mat…
Twisted Hopf symmetries of canonical noncommutative spacetimes and the no-pure-boost principle
Giovanni Amelino-Camelia, Fabio Briscese, Giulia Gubitosi +3
We study the twisted-Hopf-algebra symmetries of observer-independent canonical spacetime noncommutativity, for which the commutators of the spacetime coordinates take the form [x^{…
A no-pure-boost uncertainty principle from spacetime noncommutativity
Giovanni Amelino-Camelia, Giulia Gubitosi, Antonino Marcianó +2
We study boost and space-rotation transformations in kappa-Minkowski noncommutative spacetime, using the techniques that some of us had previously developed (hep-th/0607221) for a…