3-dimensional Λ-BMS symmetry and its deformations

Abstract In this paper we study quantum group deformations of the infinite dimensional symmetry algebra of asymptotically AdS spacetimes in three dimensions. Building on previous results in the finite dimensional subalgebras we classify all possible Lie bialgebra structures and for selected examples...

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Autores principales:	Andrzej Borowiec, Jerzy Kowalski-Glikman, Josua Unger
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Quantum Groups Models of Quantum Gravity Non-Commutative Geometry Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/476b47e777e043f58116ce50caaa4b7b
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spelling	oai:doaj.org-article:476b47e777e043f58116ce50caaa4b7b2021-11-21T12:41:20Z3-dimensional Λ-BMS symmetry and its deformations10.1007/JHEP11(2021)1031029-8479https://doaj.org/article/476b47e777e043f58116ce50caaa4b7b2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)103https://doaj.org/toc/1029-8479Abstract In this paper we study quantum group deformations of the infinite dimensional symmetry algebra of asymptotically AdS spacetimes in three dimensions. Building on previous results in the finite dimensional subalgebras we classify all possible Lie bialgebra structures and for selected examples we explicitely construct the related Hopf algebras. Using cohomological arguments we show that this construction can always be performed by a so-called twist deformation. The resulting structures can be compared to the well-known κ-Poincaré Hopf algebras constructed on the finite dimensional Poincaré or (anti) de Sitter algebra. The dual κ Minkowski spacetime is supposed to describe a specific non-commutative geometry. Importantly, we find that some incarnations of the κ-Poincaré can not be extended consistently to the infinite dimensional algebras. Furthermore, certain deformations can have potential physical applications if subalgebras are considered. Since the conserved charges associated with asymptotic symmetries in 3-dimensional form a centrally extended algebra we also discuss briefly deformations of such algebras. The presence of the full symmetry algebra might have observable consequences that could be used to rule out these deformations.Andrzej BorowiecJerzy Kowalski-GlikmanJosua UngerSpringerOpenarticleQuantum GroupsModels of Quantum GravityNon-Commutative GeometryNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-38 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Quantum Groups Models of Quantum Gravity Non-Commutative Geometry Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Quantum Groups Models of Quantum Gravity Non-Commutative Geometry Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Andrzej Borowiec Jerzy Kowalski-Glikman Josua Unger 3-dimensional Λ-BMS symmetry and its deformations
description	Abstract In this paper we study quantum group deformations of the infinite dimensional symmetry algebra of asymptotically AdS spacetimes in three dimensions. Building on previous results in the finite dimensional subalgebras we classify all possible Lie bialgebra structures and for selected examples we explicitely construct the related Hopf algebras. Using cohomological arguments we show that this construction can always be performed by a so-called twist deformation. The resulting structures can be compared to the well-known κ-Poincaré Hopf algebras constructed on the finite dimensional Poincaré or (anti) de Sitter algebra. The dual κ Minkowski spacetime is supposed to describe a specific non-commutative geometry. Importantly, we find that some incarnations of the κ-Poincaré can not be extended consistently to the infinite dimensional algebras. Furthermore, certain deformations can have potential physical applications if subalgebras are considered. Since the conserved charges associated with asymptotic symmetries in 3-dimensional form a centrally extended algebra we also discuss briefly deformations of such algebras. The presence of the full symmetry algebra might have observable consequences that could be used to rule out these deformations.
format	article
author	Andrzej Borowiec Jerzy Kowalski-Glikman Josua Unger
author_facet	Andrzej Borowiec Jerzy Kowalski-Glikman Josua Unger
author_sort	Andrzej Borowiec
title	3-dimensional Λ-BMS symmetry and its deformations
title_short	3-dimensional Λ-BMS symmetry and its deformations
title_full	3-dimensional Λ-BMS symmetry and its deformations
title_fullStr	3-dimensional Λ-BMS symmetry and its deformations
title_full_unstemmed	3-dimensional Λ-BMS symmetry and its deformations
title_sort	3-dimensional λ-bms symmetry and its deformations
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/476b47e777e043f58116ce50caaa4b7b
work_keys_str_mv	AT andrzejborowiec 3dimensionallbmssymmetryanditsdeformations AT jerzykowalskiglikman 3dimensionallbmssymmetryanditsdeformations AT josuaunger 3dimensionallbmssymmetryanditsdeformations
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3-dimensional Λ-BMS symmetry and its deformations

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