Galilean free Lie algebras
2019 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 9, article id 109
Article in journal (Refereed) Published
Abstract [en]
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.
Place, publisher, year, edition, pages
Springer, 2019. no 9, article id 109
Keywords [en]
Space-Time Symmetries, Classical Theories of Gravity, p-branes
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:oru:diva-111152DOI: 10.1007/JHEP09(2019)109ISI: 000489143500002Scopus ID: 2-s2.0-85073252636OAI: oai:DiVA.org:oru-111152DiVA, id: diva2:1832124
Funder
Swedish Research Council, 2015-04268
Note
JG 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 Maria de Maeztu). JP has been supported by the Swedish Research Council, project no. 2015-04268.
2024-01-282024-01-282024-02-09Bibliographically approved