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Keywords = carroll symmetries

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22 pages, 386 KiB  
Review
Interplay between Spacetime Curvature, Speed of Light and Quantum Deformations of Relativistic Symmetries
by Angel Ballesteros, Giulia Gubitosi and Flavio Mercati
Symmetry 2021, 13(11), 2099; https://doi.org/10.3390/sym13112099 - 5 Nov 2021
Cited by 18 | Viewed by 3046
Abstract
Recent work showed that κ-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 Λ, the [...] Read more.
Recent work showed that κ-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 Λ, the Planck scale quantum deformation parameter κ and the speed of light parameter c to move to the well-studied κ-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. Full article
(This article belongs to the Special Issue Quantum Group Symmetry and Quantum Geometry)
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33 pages, 421 KiB  
Review
Higher Spins without (Anti-)de Sitter
by Stefan Prohazka and Max Riegler
Universe 2018, 4(1), 20; https://doi.org/10.3390/universe4010020 - 19 Jan 2018
Cited by 11 | Viewed by 3446
Abstract
Can the holographic principle be extended beyond the well-known AdS/CFT correspondence? During the last couple of years, there has been a substantial amount of research trying to find answers for this question. In this work, we provide a review of recent developments of [...] Read more.
Can the holographic principle be extended beyond the well-known AdS/CFT correspondence? During the last couple of years, there has been a substantial amount of research trying to find answers for this question. In this work, we provide a review of recent developments of three-dimensional theories of gravity with higher spin symmetries. We focus in particular on a proposed holographic duality involving asymptotically flat spacetimes and higher spin extended bms 3 symmetries. In addition, we also discuss developments concerning relativistic and nonrelativistic higher spin algebras. As a special case, Carroll gravity will be discussed in detail. Full article
(This article belongs to the Special Issue Higher Spin Gauge Theories)
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