English

Notes on the BMS group in three dimensions: II. Coadjoint representation

High Energy Physics - Theory 2015-06-23 v3 General Relativity and Quantum Cosmology

Abstract

The coadjoint representation of the BMS3_3 group, which governs the covariant phase space of three-dimensional asymptotically flat gravity, is investigated. In particular, we classify coadjoint BMS3_3 orbits and show that intrinsic angular momentum is free of supertranslation ambiguities. Finally, the link with induced representations upon geometric quantization is discussed.

Keywords

Cite

@article{arxiv.1502.00010,
  title  = {Notes on the BMS group in three dimensions: II. Coadjoint representation},
  author = {Glenn Barnich and Blagoje Oblak},
  journal= {arXiv preprint arXiv:1502.00010},
  year   = {2015}
}

Comments

22 pages, references added, accepted for publication in JHEP. v3: Minor typos corrected, matches published version

R2 v1 2026-06-22T08:17:06.058Z