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arXiv · 1408.0154

Deformed Carroll particle from 2+1 gravity

J. Kowalski-Glikman·T. Trzesniewski
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Abstract

We consider a point particle coupled to 2+1 gravity, with de Sitter gauge group SO(3,1). We observe that there are two contraction limits of the gauge group: one resulting in the Poincare group, and the second with the gauge group having the form AN(2) \ltimes \an(2)^*. The former case was thoroughly discussed in the literature, while the latter leads to the deformed particle action with de Sitter momentum space, like in the case of kappa-Poincare particle. However, the construction forces the mass shell constraint to have the form p_0^2 = m^2, so that the effective particle action describes the deformed Carroll particle.

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J. Kowalski-Glikman, T. Trzesniewski. 2014-08-01. Deformed Carroll particle from 2+1 gravity. https://doi.org/10.1016/j.physletb.2014.08.066

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