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  Galilean free Lie algebras

Gomis, J., Kleinschmidt, A., & Palmkvist, J. (in preparation). Galilean free Lie algebras.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0003-F209-2 Version Permalink: https://hdl.handle.net/21.11116/0000-0003-F20A-1
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1907.00410.pdf (Preprint), 269KB
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 Creators:
Gomis, Joaquim, Author
Kleinschmidt, Axel1, Author           
Palmkvist , Jakob, Author
Affiliations:
1Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc
 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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 Dates: 2019-06-30
 Publication Status: Not specified
 Pages: 22 pages
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1907.00410
URI: http://arxiv.org/abs/1907.00410
 Degree: -

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