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Newton-Hooke/Carrollian expansions of (A)dS and Chern-Simons gravity
Departament de Física Quàntica i Astrofísica and Institut de Ciències del Cosmos (ICCUB), Universitat de Barcelona, arcelona, Spain.
Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Potsdam, Germany; International Solvay Institutes, ULB-Campus Plaine CP231, Brussels, Belgium.
Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, Göteborg, Sweden.
Instituto de Física, Pontificia Universidad Católica de Valparaíso, Valparaiso, Chile.
2020 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 2, article id 009Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Springer, 2020. no 2, article id 009
Keywords [en]
Classical Theories of Gravity, Space-Time Symmetries, Global Symmetries, p-branes
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:oru:diva-111147DOI: 10.1007/JHEP02(2020)009ISI: 000513503100002Scopus ID: 2-s2.0-85079192477OAI: oai:DiVA.org:oru-111147DiVA, id: diva2:1832125
Note

JG acknowledges the hospitality and support of the Van Swinderen Institute. JG also has been supported in part by MINECO FPA2016-76005-C2-1-P and Consolider CPAN, and by the Spanish government (MINECO/FEDER) under project MDM-2014-0369 of ICCUB (Unidad de Excelencia Mara de Maeztu). PSR acknowledges DI-VRIEA for financial support through Proyecto Postdoctorado 2019 VRIEA-PUCV.

Available from: 2024-01-28 Created: 2024-01-28 Last updated: 2024-02-09Bibliographically approved

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Palmkvist, Jakob

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