Galilean free Lie algebras

Galilean free Lie algebras

Abstract We construct free Lie algebras which, together with the algebra of spatial rotations, form infinite-dimensional extensions of finite-dimensional Galilei Maxwell algebras appearing as global spacetime symmetries of extended non-relativistic objects and non-relativistic gravity theories. We s...

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Main Authors: Joaquim Gomis, Axel Kleinschmidt, Jakob Palmkvist
Format: Article
Language:English
Published: SpringerOpen 2019-09-01
Series:Journal of High Energy Physics
Subjects:
Space-Time Symmetries
Classical Theories of Gravity
p-branes
Online Access:http://link.springer.com/article/10.1007/JHEP09(2019)109
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spelling doaj-da887f4cd09044f4932a25bea1a8b5a12020-11-25T03:14:14ZengSpringerOpenJournal of High Energy Physics1029-84792019-09-012019912110.1007/JHEP09(2019)109Galilean free Lie algebrasJoaquim Gomis0Axel Kleinschmidt1Jakob Palmkvist2Departament de Física Quàntica i Astrofísica and Institut de Ciències del Cosmos (ICCUB), Universitat de BarcelonaMax-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut)Division for Theoretical Physics, Department of Physics, Chalmers University of TechnologyAbstract We construct free Lie algebras which, together with the algebra of spatial rotations, form infinite-dimensional extensions of finite-dimensional Galilei Maxwell algebras appearing as global spacetime symmetries of extended non-relativistic objects and non-relativistic gravity theories. We show how various extensions of the ordinary Galilei algebra can be obtained by truncations and contractions, in some cases via an affine Kac-Moody algebra. The infinite-dimensional Lie algebras could be useful in the construction of generalized Newton-Cartan theories gravity theories and the objects that couple to them.http://link.springer.com/article/10.1007/JHEP09(2019)109Space-Time SymmetriesClassical Theories of Gravityp-branes
collection DOAJ
language English
format Article
sources DOAJ
author Joaquim Gomis
Axel Kleinschmidt
Jakob Palmkvist
spellingShingle Joaquim Gomis
Axel Kleinschmidt
Jakob Palmkvist
Galilean free Lie algebras
Journal of High Energy Physics
Space-Time Symmetries
Classical Theories of Gravity
p-branes
author_facet Joaquim Gomis
Axel Kleinschmidt
Jakob Palmkvist
author_sort Joaquim Gomis
title Galilean free Lie algebras
title_short Galilean free Lie algebras
title_full Galilean free Lie algebras
title_fullStr Galilean free Lie algebras
title_full_unstemmed Galilean free Lie algebras
title_sort galilean free lie algebras
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2019-09-01
description Abstract We construct free Lie algebras which, together with the algebra of spatial rotations, form infinite-dimensional extensions of finite-dimensional Galilei Maxwell algebras appearing as global spacetime symmetries of extended non-relativistic objects and non-relativistic gravity theories. We show how various extensions of the ordinary Galilei algebra can be obtained by truncations and contractions, in some cases via an affine Kac-Moody algebra. The infinite-dimensional Lie algebras could be useful in the construction of generalized Newton-Cartan theories gravity theories and the objects that couple to them.
topic Space-Time Symmetries
Classical Theories of Gravity
p-branes
url http://link.springer.com/article/10.1007/JHEP09(2019)109
work_keys_str_mv AT joaquimgomis galileanfreeliealgebras
AT axelkleinschmidt galileanfreeliealgebras
AT jakobpalmkvist galileanfreeliealgebras
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