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

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• Canonical Realization of (2+1)-dimensional Bondi-Metzner-Sachs symmetry
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• BMS Modular Diaries: Torus one-point function
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• Bulk Reconstruction of Scalar Excitations in Flat${}_3$/CCFT${}_2$ and the Flat Limit from (A)dS${}_3$/CFT${}_2$
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• 3d Quantum Gravity Partition Function at 3 Loops: a brute force computation
• Asymptotic symmetries of three dimensional gravity and the membrane paradigm
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