Interplay between Spacetime Curvature, Speed of Light and Quantum Deformations of Relativistic Symmetries

Recent work showed that <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>κ</mi></semantics></math></inline-formula>-deformations can describe the quantum deformation of several relativ...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Angel Ballesteros, Giulia Gubitosi, Flavio Mercati
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	quantum groups Poincaré group (Anti)-de Sitter Galilei group carroll symmetries curvature Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/2f5f7b49765648ac862c5ffe1089117e
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:2f5f7b49765648ac862c5ffe1089117e
record_format	dspace
spelling	oai:doaj.org-article:2f5f7b49765648ac862c5ffe1089117e2021-11-25T19:06:44ZInterplay between Spacetime Curvature, Speed of Light and Quantum Deformations of Relativistic Symmetries10.3390/sym131120992073-8994https://doaj.org/article/2f5f7b49765648ac862c5ffe1089117e2021-11-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2099https://doaj.org/toc/2073-8994Recent work showed that <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>κ</mi></semantics></math></inline-formula>-deformations can describe the quantum deformation of several relativistic models that have been proposed in the context of quantum gravity phenomenology. Starting from the Poincaré algebra of special-relativistic symmetries, one can toggle the curvature parameter <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="sans-serif">Λ</mi></semantics></math></inline-formula>, the Planck scale quantum deformation parameter <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>κ</mi></semantics></math></inline-formula> and the speed of light parameter <i>c</i> to move to the well-studied <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>κ</mi></semantics></math></inline-formula>-Poincaré algebra, the (quantum) (A)dS algebra, the (quantum) Galilei and Carroll algebras and their curved versions. In this review, we survey the properties and relations of these algebras of relativistic symmetries and their associated noncommutative spacetimes, emphasizing the nontrivial effects of interplay between curvature, quantum deformation and speed of light parameters.Angel BallesterosGiulia GubitosiFlavio MercatiMDPI AGarticlequantum groupsPoincaré group(Anti)-de SitterGalilei groupcarroll symmetriescurvatureMathematicsQA1-939ENSymmetry, Vol 13, Iss 2099, p 2099 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	quantum groups Poincaré group (Anti)-de Sitter Galilei group carroll symmetries curvature Mathematics QA1-939
spellingShingle	quantum groups Poincaré group (Anti)-de Sitter Galilei group carroll symmetries curvature Mathematics QA1-939 Angel Ballesteros Giulia Gubitosi Flavio Mercati Interplay between Spacetime Curvature, Speed of Light and Quantum Deformations of Relativistic Symmetries
description	Recent work showed that <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>κ</mi></semantics></math></inline-formula>-deformations can describe the quantum deformation of several relativistic models that have been proposed in the context of quantum gravity phenomenology. Starting from the Poincaré algebra of special-relativistic symmetries, one can toggle the curvature parameter <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="sans-serif">Λ</mi></semantics></math></inline-formula>, the Planck scale quantum deformation parameter <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>κ</mi></semantics></math></inline-formula> and the speed of light parameter <i>c</i> to move to the well-studied <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>κ</mi></semantics></math></inline-formula>-Poincaré algebra, the (quantum) (A)dS algebra, the (quantum) Galilei and Carroll algebras and their curved versions. In this review, we survey the properties and relations of these algebras of relativistic symmetries and their associated noncommutative spacetimes, emphasizing the nontrivial effects of interplay between curvature, quantum deformation and speed of light parameters.
format	article
author	Angel Ballesteros Giulia Gubitosi Flavio Mercati
author_facet	Angel Ballesteros Giulia Gubitosi Flavio Mercati
author_sort	Angel Ballesteros
title	Interplay between Spacetime Curvature, Speed of Light and Quantum Deformations of Relativistic Symmetries
title_short	Interplay between Spacetime Curvature, Speed of Light and Quantum Deformations of Relativistic Symmetries
title_full	Interplay between Spacetime Curvature, Speed of Light and Quantum Deformations of Relativistic Symmetries
title_fullStr	Interplay between Spacetime Curvature, Speed of Light and Quantum Deformations of Relativistic Symmetries
title_full_unstemmed	Interplay between Spacetime Curvature, Speed of Light and Quantum Deformations of Relativistic Symmetries
title_sort	interplay between spacetime curvature, speed of light and quantum deformations of relativistic symmetries
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/2f5f7b49765648ac862c5ffe1089117e
work_keys_str_mv	AT angelballesteros interplaybetweenspacetimecurvaturespeedoflightandquantumdeformationsofrelativisticsymmetries AT giuliagubitosi interplaybetweenspacetimecurvaturespeedoflightandquantumdeformationsofrelativisticsymmetries AT flaviomercati interplaybetweenspacetimecurvaturespeedoflightandquantumdeformationsofrelativisticsymmetries
_version_	1718410268822732800

Interplay between Spacetime Curvature, Speed of Light and Quantum Deformations of Relativistic Symmetries

Ejemplares similares