Galilean free Lie algebras
Artikel i vetenskaplig tidskrift, 2019

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.

Classical Theories of Gravity

p-branes

Space-Time Symmetries

Författare

Joaquim Gomis

Universitat de Barcelona

Axel Kleinschmidt

International Solvay Institute for Physics and Chemistry

Max-Planck-Gesellschaft

Jakob Palmkvist

Institute of Theoretical Physics, Goteborg

Journal of High Energy Physics

1126-6708 (ISSN) 1029-8479 (eISSN)

Vol. 2019 9 109

Ämneskategorier

Algebra och logik

Geometri

Matematisk analys

DOI

10.1007/JHEP09(2019)109

Mer information

Senast uppdaterat

2019-11-12