Notes on the BMS group in three dimensions: II. Coadjoint representation
Abstract
The coadjoint representation of the BMS3 group, which governs the covariant phase space of three-dimensional asymptotically flat gravity, is investigated. In particular, we classify coadjoint BMS3 orbits and show that intrinsic angular momentum is free of supertranslation ambiguities. Finally, we discuss the link with induced representations upon geometric quantization.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- March 2015
- DOI:
- 10.1007/JHEP03(2015)033
- arXiv:
- arXiv:1502.00010
- Bibcode:
- 2015JHEP...03..033B
- Keywords:
-
- Classical Theories of Gravity;
- Space-Time Symmetries;
- Differential and Algebraic Geometry;
- Conformal and W Symmetry;
- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology
- E-Print:
- 22 pages, references added, accepted for publication in JHEP. v3: Minor typos corrected, matches published version