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

Abstract

The coadjoint representation of the BMS${}_3$ group, which governs the covariant phase space of three-dimensional asymptotically flat gravity, is investigated. In particular, we classify coadjoint BMS${}_3$ orbits and show that intrinsic angular momentum is free of supertranslation ambiguities. Finally, the link with induced representations upon geometric quantization is discussed.

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

References in corpus (4)

• Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time
• Notes on the BMS group in three dimensions: I. Induced representations
• Holographic positive energy theorems in three-dimensional gravity
• Classification of Boundary Gravitons in AdS${}_3$ Gravity

Cited by in corpus (10)

• Field Theories with Conformal Carrollian Symmetry
• Geometric actions for three-dimensional gravity
• One-loop partition function of three-dimensional flat gravity
• The nuts and bolts of the BMS Bootstrap
• Near-Horizon BMS Symmetry, Dimensional Reduction, and Black Hole Entropy
• Horizon Fluffs: Near Horizon Soft Hairs as Microstates of Generic AdS3 Black Holes
• Asymptotically flat spacetimes with BMS${}_3$ symmetry
• Most general theory of 3d gravity: Covariant phase space, dual diffeomorphisms, and more
• Thomas Precession for Dressed Particles
• Aspects of infinite dimensional $\ell$-super Galilean conformal algebra