Semi-classical BMS-blocks from the Oscillator Construction

Abstract

Flat-space holography requires a thorough understanding of BMS symmetry. We introduce an oscillator construction of the highest-weight representation of the ${\mathfrak{bms}}_3$ algebra and show that it is consistent with known results concerning the ${\mathfrak{bms}}_3$ module. We take advantage of this framework to prove that ${\mathfrak{bms}}_3$-blocks exponentiate in the semi-classical limit, where one of the central charges is large. Within this context, we compute perturbatively heavy, and heavy-light vacuum ${\mathfrak{bms}}_3$-blocks.

26 + 17 pages; v2: Minor improvements, references added, matches published version

References in corpus (60)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• The World as a Hologram
• The holographic principle
• Aspects of the BMS/CFT correspondence
• Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
• Black Hole Evaporation without Information Loss
• Semiclassical Virasoro Symmetry of the Quantum Gravity S-Matrix
• Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions
• The BMS/GCA correspondence
• Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere
• Conformal Carroll groups and BMS symmetry
• Virasoro Conformal Blocks and Thermality from Classical Background Fields
• Galilean Conformal Algebras and AdS/CFT
• Holography of 3d Flat Cosmological Horizons
• Flat Holography: Aspects of the dual field theory
• Entropy of three-dimensional asymptotically flat cosmological solutions
• A 2D Stress Tensor for 4D Gravity
• Deriving the ${\text{AdS}}_3/{\text{CFT}}_2$ Correspondence
• Entanglement entropy in Galilean conformal field theories and flat holography
• GCA in 2d
• Flat-Space Chiral Gravity
• Notes on the BMS group in three dimensions: I. Induced representations
• Three-dimensional Bondi-Metzner-Sachs invariant two-dimensional field theories as the flat limit of Liouville theory
• Entanglement Entropy in Flat Holography
• BMS Particles in Three Dimensions
• On Representations and Correlation Functions of Galilean Conformal Algebras
• Most general flat space boundary conditions in three-dimensional Einstein gravity
• Soft hairy horizons in three spacetime dimensions
• Stress tensor correlators in three-dimensional gravity
• BMS Modules in Three Dimensions
• Flat space physics from AdS/CFT
• Cosmic evolution from phase transition of 3-dimensional flat space
• The BMS Bootstrap
• Variational principle and 1-point functions in 3-dimensional flat space Einstein gravity
• One-loop partition function of three-dimensional flat gravity
• Super-BMS${}_3$ algebras from $\mathcal{N}=2$ flat supergravities
• Flat-Space Energy-Momentum Tensor from BMS/GCA Correspondence
• Wilson Lines and Holographic Entanglement Entropy in Galilean Conformal Field Theories
• Characters of the BMS Group in Three Dimensions
• The nuts and bolts of the BMS Bootstrap
• Geometric actions and flat space holography
• Holographic Conformal Partial Waves as Gravitational Open Wilson Networks
• Holographic conformal blocks from interacting Wilson lines
• Semi-classical Virasoro blocks: proof of exponentiation
• Higher-Spin Flat Space Cosmologies with Soft Hair
• Affine Extension of Galilean Conformal Algebra in 2+1 Dimensions
• Berry Phases on Virasoro Orbits
• Semi-classical BMS${}_3$ blocks and flat holography
• Gravitational anomalies, entanglement entropy, and flat-space holography
• N=4 Supersymmetric BMS3 algebras from asymptotic symmetry analysis
• Most general theory of 3d gravity: Covariant phase space, dual diffeomorphisms, and more
• Spectral Flow in 3D Flat Spacetimes
• Black holes from CFT: Universality of correlators at large c
• Quantum thermalization and Virasoro symmetry
• Gravitation in flat spacetime from entanglement
• BMS Characters and Modular Invariance
• Quantization of BMS${}_3$ orbits: a perturbative approach
• BMS Modular Diaries: Torus one-point function
• Flatspace Chiral Supergravity

Cited by in corpus (4)

• Non-Lorentzian Chaos and Cosmological Holography
• The Shadow Formalism of Galilean CFT${}_2$
• Conformal Blocks in Two and Four Dimensions from Oscillator Representations
• Leptonic signatures of color-sextet scalars II: Exploiting unique large-$E_{\text{T}}^{\text{miss}}$ signals at the LHC