369 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- F. J. Herranz2 profiles125 · h 29
- Á. Ballesteros2 profiles102 · h 29
- O. Ragnisco26 · h 33
- Angel Ballesteros3 profiles22 · h 5
- I. Gutierrez-Sagredo21 · h 11
- M. Santander19 · h 27
- Alfonso Blasco16 · h 10
- F. Musso16 · h 20
- A. Enciso14 · h 22
- F. Mercati13 · h 25
- Giulia Gubitosi2 profiles13 · h 25
- R. Campoamor-Stursberg13 · h 17
- Universidad de ValladolidES37 papers
- Universidad Complutense de MadridES33 papers
- Roma Tre UniversityIT25 papers
- Istituto Nazionale di Fisica NucleareIT18 papers
- Universidad de ZaragozaES16 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di NapoliIT12 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di Roma TreIT12 papers
- Centro de Astropartículas y Física de Altas EnergíasES9 papers
- University of WarsawPL9 papers
- Institute of Mathematical SciencesIN7 papers
- University of CambridgeGB7 papers
- University of Naples Federico IIIT7 papers
37 papers · 1 filter
Noncommutative Lightcones from Quantum SO(2,1) Conformal Groups
Martina Adamo, Angel Ballesteros, Flavio Mercati
Five new families of noncommutative lightcones in 2+1 dimensions are presented as the quantizations of the inequivalent Poisson homogeneous structures that emerge when the lightcon…
Symmetry Resolved Measures in Quantum Field Theory: a Short Review
Olalla A. Castro-Alvaredo, Lucía Santamaría-Sanz
In this short review we present the key definitions, ideas and techniques involved in the study of symmetry resolved entanglement measures, with a focus on the symmetry resolved en…
T-Minkowski noncommutative spacetimes II: classical field theory
Flavio Mercati
This paper is the second part of a series that develops the mathematical framework necessary for studying field theories on ``T-Minkowski'' noncommutative spacetimes. These spaceti…
Doubly special relativity as a non-local quantum field theory
J. J. Relancio, L. Santamaría-Sanz
In this work, we explore the quantum theories of the free massive scalar, the massive fermionic, and the electromagnetic fields, in a doubly special relativity scenario. This const…
Non-local quantum field theory from doubly special relativity
J. J. Relancio, L. Santamaría-Sanz
Doubly special relativity (DSR) is usually regarded as a low-energy limit of a quantum gravity theory with testable predictions. On the other hand, non-local quantum field theories…
Multiparticle states in braided lightlike -Minkowski noncommutative QFT
Giuseppe Fabiano, Flavio Mercati
In this study, we construct a 1+1-dimensional, relativistic, free, complex scalar Quantum Field Theory on the noncommutative spacetime known as lightlike -Minkowski. The associa…
T-Minkowski noncommutative spacetimes I: Poincaré groups, differential calculi and braiding
Flavio Mercati
This paper introduces and investigates a class of noncommutative spacetimes that I will call ``T-Minkowski,'' whose quantum Poincaré group of isometries exhibits unique and physica…
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…
Casimir energy through transfer operators for sine-Gordon backgrounds
Lucía Santamaría-Sanz
The quantum vacuum interaction energy between a pair of semitransparent two-dimensional plates represented by Dirac delta potentials and its first derivative, embedded in the topol…
-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…
Geometrizing the Klein-Gordon and Dirac equations in Doubly Special Relativity
S. A. Franchino-Viñas, J. J. Relancio
In this work we discuss the deformed relativistic wave equations, namely the Klein--Gordon and Dirac equations in a Doubly Special Relativity scenario. We employ what we call a geo…
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…
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…
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…
Extended noncommutative Minkowski spacetimes and hybrid gauge symmetries
Angel Ballesteros, Flavio Mercati
We study the Lie bialgebra structures that can be built on the one-dimensional central extension of the Poincaré and (A)dS algebras in (1+1) dimensions. These central extensions ad…
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…
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…
The kappa-(A)dS quantum algebra in (3+1) dimensions
Angel Ballesteros, Francisco J. Herranz, Fabio Musso +1
The quantum duality principle is used to obtain explicitly the Poisson analogue of the kappa-(A)dS quantum algebra in (3+1) dimensions as the corresponding Poisson-Lie structure on…