BMS modules in three dimensions

A. Campoleoni, H. A. Gonzalez, B. Oblak, M. Riegler

Research output: Contribution to journalArticlepeer-review

56 Scopus citations


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.

Original languageEnglish
Article number1650068
JournalInternational Journal of Modern Physics A
Issue number12
StatePublished - 30 Apr 2016
Externally publishedYes


  • BMS symmetry
  • Higher-spin gauge theories in three dimensions


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