Deformed Carroll particle from 2+1 gravity

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 Poincaré group, and the second with the gauge group having the form AN(2)⋉an(2)⁎. The former case was thoroughly discusse...

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Bibliographic Details
Main Authors: Jerzy Kowalski-Glikman, Tomasz Trześniewski
Format: Article
Language:English
Published: Elsevier 2014-10-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269314006431
Description
Summary: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 Poincaré group, and the second with the gauge group having the form AN(2)⋉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 κ-Poincaré particle. However, the construction forces the mass shell constraint to have the form p02=m2, so that the effective particle action describes the deformed Carroll particle.
ISSN:0370-2693
1873-2445