Galilean free Lie algebras
High Energy Physics - Theory
2020-06-23 v2 General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.1907.00410,
title = {Galilean free Lie algebras},
author = {Joaquim Gomis and Axel Kleinschmidt and Jakob Palmkvist},
journal= {arXiv preprint arXiv:1907.00410},
year = {2020}
}
Comments
22 pages. v2: Published version. Minor changes. References added