@article{378261378c8545289a725dd328c20d64,
title = "BMS modules in three dimensions",
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 nonrelativistic limits that typically give nonunitary representations. To support this dichotomy, we also point out that the ultrarelativistic and nonrelativistic limits of generic W algebras differ in the structure of their nonlinear terms.",
keywords = "BMS symmetry, Higher-spin gauge theories in three dimensions",
author = "A. Campoleoni and Gonzalez, {H. A.} and B. Oblak and M. Riegler",
note = "Funding Information: The authors are grateful to G. Barnich for illuminating discussions on BMS representations. A. Campoleoni would like to thank the Nanyang Technological University in Singapore for hospitality, and the participants in the NTU Workshop on Higher-Spin Gauge Theories for feedback on a presentation of some of the results contained in this paper. The work of A. Campoleoni and H. A. Gonzalez is partially supported by the ERC Advanced Grant {"}SyDuGraM,{"} by FNRS-Belgium (convention FRFC PDR T.1025.14 and convention IISN 4.4503.15) and by the {"}Communaut{\'e} Fran{\c c}aise de Belgique{"} through the ARC program. A. Campoleoni is also supported by the Fund for Scientific Research-FNRS under grant No. FC-98386. The work of B. Oblak is supported by a doctoral fellowship of the Wiener-Anspach Foundation and by the Fund for Scientific Research-FNRS under grant No. FC-95570. This research of M. Riegler is supported by the FWF projects P27182-N27 and the START project Y435-N16. M. Riegler is also supported by a DOC fellowship of the Austrian Academy of Sciences, the Doktoratskolleg Particles and Interactions (FWF Project DKW1252-N27) and the FWF Project I 1030-N27. Publisher Copyright: {\textcopyright} 2016 World Scientific Publishing Company.",
year = "2016",
month = apr,
day = "30",
doi = "10.1142/S0217751X16500688",
language = "English",
volume = "31",
journal = "International Journal of Modern Physics A",
issn = "0217-751X",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "12",
}