Characters of the BMS Group in Three Dimensions
Abstract
Using the Frobenius formula, we evaluate characters associated with certain induced representations of the centrally extended BMS group. This computation involves a functional integral over a coadjoint orbit of the Virasoro group; a delta function localizes the integral to a single point, allowing us to obtain an exact result. The latter is independent of the specific form of the functional measure, and holds for all values of the BMS central charges and all values of the chosen mass and spin. It can also be recovered as a flat limit of Virasoro characters.
Keywords
Cite
@article{arxiv.1502.03108,
title = {Characters of the BMS Group in Three Dimensions},
author = {Blagoje Oblak},
journal= {arXiv preprint arXiv:1502.03108},
year = {2015}
}
Comments
22 pages. v2: Updated references [5], [7] and [45]. Published in Communications in Mathematical Physics. The final publication is available at Springer via http://dx.doi.org/10.1007/s00220-015-2408-7