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arxiv: 1502.00010 · v3 · pith:AWB7YEQBnew · submitted 2015-01-30 · ✦ hep-th · gr-qc

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

classification ✦ hep-th gr-qc
keywords coadjointgrouprepresentationambiguitiesangularasymptoticallyclassifycovariant
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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.

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