3D gravity, point particles and deformed symmetries
Abstract
It is well known that gravity in 2+1 dimensions can be recast as Chern-Simons theory, with the gauge group given by the local isometry group, depending on the metric signature and the cosmological constant. Point particles are added into spacetime as (spinning) conical defects. Then, in principle, one may integrate out the gravitational degrees of freedom to obtain the effective particle action; the most interesting consequence is that the momentum space of a particle turns out to be curved. This is still not completely understood in the case of non-zero cosmological constant.
Cite
@article{arxiv.2212.14031,
title = {3D gravity, point particles and deformed symmetries},
author = {Tomasz Trześniewski},
journal= {arXiv preprint arXiv:2212.14031},
year = {2023}
}
Comments
9 pages, v2 details clarified, references added, to appear in proceedings of the 8th Conference of the Polish Society on Relativity, Warszawa, Poland, September 19-23, 2022