Newton-Hooke/Carrollian expansions of (A)dS and Chern-Simons gravity

Newton-Hooke/Carrollian expansions of (A)dS and Chern-Simons gravity

Abstract We construct finite- and infinite-dimensional non-relativistic extensions of the Newton-Hooke and Carroll (A)dS algebras using the algebra expansion method, starting from the (anti-)de Sitter relativistic algebra in D dimensions. These algebras are also shown to be embedded in different aff...

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Main Authors: Joaquim Gomis, Axel Kleinschmidt, Jakob Palmkvist, Patricio Salgado-Rebolledo
Format: Article
Language:English
Published: SpringerOpen 2020-02-01
Series:Journal of High Energy Physics
Subjects:
Classical Theories of Gravity
Space-Time Symmetries
Global Symmetries
p-branes
Online Access:https://doi.org/10.1007/JHEP02(2020)009
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spelling doaj-add450e91130406eb040c18355a805102021-02-07T12:06:41ZengSpringerOpenJournal of High Energy Physics1029-84792020-02-012020213310.1007/JHEP02(2020)009Newton-Hooke/Carrollian expansions of (A)dS and Chern-Simons gravityJoaquim Gomis0Axel Kleinschmidt1Jakob Palmkvist2Patricio Salgado-Rebolledo3Departament de Física Quàntica i Astrofísica and Institut de Ciències del Cosmos (ICCUB), Universitat de BarcelonaMax-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut)Department of Mathematical Sciences, Chalmers University of Technology and University of GothenburgInstituto de Física, Pontificia Universidad Católica de ValparaísoAbstract We construct finite- and infinite-dimensional non-relativistic extensions of the Newton-Hooke and Carroll (A)dS algebras using the algebra expansion method, starting from the (anti-)de Sitter relativistic algebra in D dimensions. These algebras are also shown to be embedded in different affine Kac-Moody algebras. In the three-dimensional case, we construct Chern-Simons actions invariant under these symmetries. This leads to a sequence of non-relativistic gravity theories, where the simplest examples correspond to extended Newton-Hooke and extended (post-)Newtonian gravity together with their Carrollian counterparts.https://doi.org/10.1007/JHEP02(2020)009Classical Theories of GravitySpace-Time SymmetriesGlobal Symmetriesp-branes
collection DOAJ
language English
format Article
sources DOAJ
author Joaquim Gomis
Axel Kleinschmidt
Jakob Palmkvist
Patricio Salgado-Rebolledo
spellingShingle Joaquim Gomis
Axel Kleinschmidt
Jakob Palmkvist
Patricio Salgado-Rebolledo
Newton-Hooke/Carrollian expansions of (A)dS and Chern-Simons gravity
Journal of High Energy Physics
Classical Theories of Gravity
Space-Time Symmetries
Global Symmetries
p-branes
author_facet Joaquim Gomis
Axel Kleinschmidt
Jakob Palmkvist
Patricio Salgado-Rebolledo
author_sort Joaquim Gomis
title Newton-Hooke/Carrollian expansions of (A)dS and Chern-Simons gravity
title_short Newton-Hooke/Carrollian expansions of (A)dS and Chern-Simons gravity
title_full Newton-Hooke/Carrollian expansions of (A)dS and Chern-Simons gravity
title_fullStr Newton-Hooke/Carrollian expansions of (A)dS and Chern-Simons gravity
title_full_unstemmed Newton-Hooke/Carrollian expansions of (A)dS and Chern-Simons gravity
title_sort newton-hooke/carrollian expansions of (a)ds and chern-simons gravity
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2020-02-01
description Abstract We construct finite- and infinite-dimensional non-relativistic extensions of the Newton-Hooke and Carroll (A)dS algebras using the algebra expansion method, starting from the (anti-)de Sitter relativistic algebra in D dimensions. These algebras are also shown to be embedded in different affine Kac-Moody algebras. In the three-dimensional case, we construct Chern-Simons actions invariant under these symmetries. This leads to a sequence of non-relativistic gravity theories, where the simplest examples correspond to extended Newton-Hooke and extended (post-)Newtonian gravity together with their Carrollian counterparts.
topic Classical Theories of Gravity
Space-Time Symmetries
Global Symmetries
p-branes
url https://doi.org/10.1007/JHEP02(2020)009
work_keys_str_mv AT joaquimgomis newtonhookecarrollianexpansionsofadsandchernsimonsgravity
AT axelkleinschmidt newtonhookecarrollianexpansionsofadsandchernsimonsgravity
AT jakobpalmkvist newtonhookecarrollianexpansionsofadsandchernsimonsgravity
AT patriciosalgadorebolledo newtonhookecarrollianexpansionsofadsandchernsimonsgravity
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