Notes on the BMS group in three dimensions: I. Induced representations

Abstract

The Bondi-Metzner-Sachs group in three dimensions is the symmetry group of asymptotically flat three-dimensional spacetimes. It is the semi-direct product of the diffeomorphism group of the circle with the space of its adjoint representation, embedded as an abelian normal subgroup. The structure of the group suggests to study induced representations; we show here that they are associated with the well-known coadjoint orbits of the Virasoro group and provide explicit representations in terms of one-particle states.

33 pages, LaTeX file. v3: Minimal changes in the introduction. Version published in JHEP

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• Galilean Conformal Algebras and AdS/CFT
• Entropy of three-dimensional asymptotically flat cosmological solutions
• Notes on the BMS group in three dimensions: I. Induced representations
• The Super BMS Algebra, Scattering and Holography
• On the dynamical symmetric algebra of ageing: Lie structure, representations and Appell systems

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