Conformal Carroll groups
High Energy Physics - Theory
2015-06-19 v3 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
Conformal extensions of Levy-Leblond's Carroll group, based on geometric properties analogous to those of Newton-Cartan space-time are proposed. The extensions are labelled by an integer . This framework includes and extends our recent study of the Bondi-Metzner-Sachs (BMS) and Newman-Unti (NU) groups. The relation to Conformal Galilei groups is clarified. Conformal Carroll symmetry is illustrated by "Carrollian photons". Motion both in the Newton-Cartan and Carroll spaces may be related to that of strings in the Bargmann space.
Keywords
Cite
@article{arxiv.1403.4213,
title = {Conformal Carroll groups},
author = {C. Duval and G. W. Gibbons and P. A. Horvathy},
journal= {arXiv preprint arXiv:1403.4213},
year = {2015}
}
Comments
31 pages, no figures. Minor misprints corrected and clarifications added. To be published in J. Phys. A