Notes on the BMS group in three dimensions: I. Induced representations
High Energy Physics - Theory
2015-06-19 v3 General Relativity and Quantum Cosmology
Abstract
The Bondi-Metzner-Sachs group in three dimensions is the symmetry group of asymptotically flat three-dimensional spacetimes. It is the semi-direct product of the diffeomorphism group of the circle with the space of its adjoint representation, embedded as an abelian normal subgroup. The structure of the group suggests to study induced representations; we show here that they are associated with the well-known coadjoint orbits of the Virasoro group and provide explicit representations in terms of one-particle states.
Cite
@article{arxiv.1403.5803,
title = {Notes on the BMS group in three dimensions: I. Induced representations},
author = {Glenn Barnich and Blagoje Oblak},
journal= {arXiv preprint arXiv:1403.5803},
year = {2015}
}
Comments
33 pages, LaTeX file. v3: Minimal changes in the introduction. Version published in JHEP