Newton-Hooke/Carrollian expansions of (A)dS and Chern-Simons gravity
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.
2024-01-282024-01-282024-02-09Bibliographically approved