Free-field realisations of the BMS$_3$ algebra and its extensions
High Energy Physics - Theory
2016-06-29 v3
Abstract
We construct an explicit realisation of the BMS algebra with nonzero central charges using holomorphic free fields. This can be extended by the addition of chiral matter to a realisation having arbitrary values for the two independent central charges. Via the introduction of additional free fields, we extend our construction to the minimally supersymmetric BMS algebra and to the nonlinear higher-spin BMS-W algebra. We also describe an extended system that realises both the SU(2) current algebra as well as BMS via the Wakimoto representation, though in this case introducing a central extension also brings in new non-central operators.
Keywords
Cite
@article{arxiv.1512.06240,
title = {Free-field realisations of the BMS$_3$ algebra and its extensions},
author = {Nabamita Banerjee and Dileep P. Jatkar and Sunil Mukhi and Turmoli Neogi},
journal= {arXiv preprint arXiv:1512.06240},
year = {2016}
}
Comments
1+18 pages, expanded version, new section on higher-spin BMS$_3$-W$_3$ added, JHEP Version