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

DOI10.1007/JHEP03(2015)033zbMath1388.83006arXiv1502.00010MaRDI QIDQ1754997

Blagoje Oblak, Glenn Barnich

Publication date: 31 May 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.00010

zbMATH Keywords

classical theories of gravityconformal and W symmetrydifferential and algebraic geometryspace-time symmetries

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Geometric quantization (53D50)

Related Items (62)

Generalized black holes in three-dimensional spacetime ⋮ Quantization of \(\operatorname{BMS}_{3}\) orbits: A perturbative approach ⋮ Semi-classical \(\mathrm{BMS}_{3}\) blocks and flat holography ⋮ Determinant formula and a realization for the Lie algebra \(W(2,2)\) ⋮ Holographic reconstruction of 3D flat space-time ⋮ On the null origin of the ambitwistor string ⋮ Flat holography: aspects of the dual field theory ⋮ BMS symmetry, soft particles and memory ⋮ Finite BMS transformations ⋮ Near-horizon geometry and warped conformal symmetry ⋮ Rotating higher spin partition functions and extended BMS symmetries ⋮ Free-field realisations of the \(BMS_{3}\) algebra and its extensions ⋮ Extensions of theories from soft limits ⋮ Vacua of the gravitational field ⋮ One loop partition function of three-dimensional flat gravity ⋮ BMS modular diaries: torus one-point function ⋮ Non-perturbative 3D quantum gravity: quantum boundary states and exact partition function ⋮ Galilean contractions of \(W\)-algebras ⋮ Aspects of infinite dimensional ℓ-super Galilean conformal algebra ⋮ Geometric actions and flat space holography ⋮ Universal corner symmetry and the orbit method for gravity ⋮ Tensionless tales of compactification ⋮ Circuit complexity for Carrollian conformal (BMS) field theories ⋮ Deformed Heisenberg charges in three-dimensional gravity ⋮ On the representation theory of the Bondi–Metzner–Sachs group and its variants in three space–time dimensions ⋮ Manifestly covariant worldline actions from coadjoint orbits. I: Generalities and vectorial descriptions ⋮ Flat JT gravity and the BMS-Schwarzian ⋮ Matrix quantization of gravitational edge modes ⋮ Asymptotically flat spacetimes with BMS ₃ symmetry ⋮ Geometric actions for three-dimensional gravity ⋮ The nuts and bolts of the BMS bootstrap ⋮ Spectral flow in 3D flat spacetimes ⋮ Near-horizon BMS symmetries as fluid symmetries ⋮ The complex null string, Galilean conformal algebra and scattering equations ⋮ Quasi-local holographic dualities in non-perturbative 3d quantum gravity. I: Convergence of multiple approaches and examples of Ponzano-Regge statistical duals ⋮ Hirota-Satsuma dynamics as a non-relativistic limit of KdV equations ⋮ Asymptotic symmetries of three dimensional gravity and the membrane paradigm ⋮ Holographic description of boundary gravitons in (3+1) dimensions ⋮ Null infinity and unitary representation of the Poincarè group ⋮ Thomas precession for dressed particles ⋮ BMS₃invariant fluid dynamics at null infinity ⋮ Characters of the BMS group in three dimensions ⋮ Gravitational edge modes, coadjoint orbits, and hydrodynamics ⋮ Probing Wigner rotations for any group ⋮ Non-relativistic limits and three-dimensional coadjoint Poincaré gravity ⋮ BMS algebras in 4 and 3 dimensions, their quantum deformations and duals ⋮ Most general theory of 3d gravity: covariant phase space, dual diffeomorphisms, and more ⋮ The Maxwell group in 2+1 dimensions and its infinite-dimensional enhancements ⋮ Semi-classical BMS-blocks from the oscillator construction ⋮ Supersymmetric Galilean conformal blocks ⋮ Coadjoint representation of the BMS group on celestial Riemann surfaces ⋮ BMS₃ mechanics and the black hole interior ⋮ SDiff(S2) and the orbit method ⋮ Gravitation in flat spacetime from entanglement ⋮ Field theories with conformal Carrollian symmetry ⋮ Kinematic space and the orbit method ⋮ Flat space physics from AdS/CFT ⋮ BMS characters and modular invariance ⋮ A tale of three --- tensionless strings and vacuum structure ⋮ Mapping relativistic to ultra/non-relativistic conformal symmetries in 2D and finite \(\sqrt{T\bar{T}}\) deformations ⋮ Chern-Simons action for inhomogeneous Virasoro group as extension of three dimensional flat gravity ⋮ Symmetries of free massless particles and soft theorems

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