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arXiv · 1907.00410

Galilean free Lie algebras

Joaquim Gomis·Axel Kleinschmidt·Jakob Palmkvist
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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.

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Joaquim Gomis, Axel Kleinschmidt, Jakob Palmkvist. 2020-06-22. Galilean free Lie algebras. https://doi.org/10.1007/jhep09(2019)109

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