Higher-dimensional kinematical Lie algebras via deformation theory

Abstract

We classify kinematical Lie algebras in dimension $D\ge 4$. This is approached via the classification of deformations of the relevant static kinematical Lie algebra. We also classify the deformations of the universal central extension of the static kinematical Lie algebra in dimension $D\ge 4$. In addition we determine which of these Lie algebras admit an invariant inner product.

18 pages. (v3:final version to appear in Journal of Mathematical Physics). arXiv admin note: text overlap with arXiv:1711.06111

References in corpus (3)

• Kinematical Lie algebras via deformation theory
• Kinematical Lie algebras in 2+1 dimensions
• Kinematical superalgebras and Lie algebras of order 3

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