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arxiv: 1802.04048 · v3 · pith:FTEI2CWAnew · submitted 2018-02-12 · ✦ hep-th · math.RT

Kinematical Lie algebras in 2+1 dimensions

classification ✦ hep-th math.RT
keywords kinematicalalgebrasadditionadmitalgebraapproachedclassificationclassify
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We classify kinematical Lie algebras in dimension 2+1. This is approached via the classification of deformations of the static kinematical Lie algebra. In addition, we determine which kinematical Lie algebras admit invariant symmetric inner products.

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  1. $L_\infty$-algebraic extensions of non-Lorentzian kinematical Lie algebras, gravities, and brane couplings

    hep-th 2025-12 unverdicted novelty 7.0

    L_infinity extensions of Galilean, Newton-Hooke and static algebras produce infinite towers of p-form fields that couple to torsionful non-Lorentzian gravities and yield WZW terms for (p-1)-branes via doubled coordinates.