BMS Modules in Three Dimensions
High Energy Physics - Theory
2016-05-25 v1 Group Theory
Abstract
We build unitary representations of the BMS algebra and its higher-spin extensions in three dimensions, using induced representations as a guide. Our prescription naturally emerges from an ultrarelativistic limit of highest-weight representations of Virasoro and W algebras, which is to be contrasted with non-relativistic limits that typically give non-unitary representations. To support this dichotomy, we also point out that the ultrarelativistic and non-relativistic limits of generic W algebras differ in the structure of their non-linear terms.
Cite
@article{arxiv.1603.03812,
title = {BMS Modules in Three Dimensions},
author = {Andrea Campoleoni and Hernan A. Gonzalez and Blagoje Oblak and Max Riegler},
journal= {arXiv preprint arXiv:1603.03812},
year = {2016}
}
Comments
27 pages; contribution to the proceedings of the workshop "Higher Spin Gauge Theories", Institute for Advanced Studies, NTU, Singapore, November 4-6, 2015