Symmetries and Charges in Weyl-Fefferman-Graham Gauge

Abstract

We investigate the asymptotic symmetries of three-dimensional AdS Einstein gravity in the Weyl-Fefferman-Graham gauge, which is a generalization of the Fefferman-Graham gauge inducing a Weyl connection as part of the boundary structure. We show that this gauge arises as a natural intermediary step of the gauge-fixing procedure in the Chern-Simons formulation. We prove that the diffeomorphism required to go to the usual Fefferman-Graham gauge can be charged, and thus its implementation has physical repercussions. We discuss the holographic renormalization and the variational principle offering a new holographic take on this gauge and its charges.

arXiv comment33 pages, minor corrections, published version

References in corpus (82)

• Gauge Theory Correlators from Non-Critical String Theory
• Large N Field Theories, String Theory and Gravity
• The World as a Hologram
• The Black Hole in Three Dimensional Space Time
• Black Hole Entropy is Noether Charge
• The Dynamics of General Relativity
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• The Holographic Weyl anomaly
• Geometry of the 2+1 Black Hole
• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• Lecture Notes on Holographic Renormalization
• Black Hole Entropy from Near-Horizon Microstates
• Holographic Renormalization
• A General Definition of "Conserved Quantities" in General Relativity and Other Theories of Gravity
• Aspects of the BMS/CFT correspondence
• Covariant theory of asymptotic symmetries, conservation laws and central charges
• The (2+1)-Dimensional Black Hole
• Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
• The asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant
• Local subsystems in gauge theory and gravity
• Thermodynamics of Asymptotically Locally AdS Spacetimes
• Setting the boundary free in AdS/CFT
• Surface charge algebra in gauge theories and thermodynamic integrability
• Three-dimensional quantum geometry and black holes
• Diffeomorphisms and Holographic Anomalies
• Superboost transitions, refraction memory and super-Lorentz charge algebra
• Global Charges in Chern-Simons theory and the 2+1 black hole
• Holographic Renormalization of Asymptotically Flat Spacetimes
• Entanglement Entropy, Trace Anomalies and Holography
• New Boundary Conditions for AdS3
• Asymptotic Dynamics and Asymptotic Symmetries of Three-Dimensional Extended AdS Supergravity
• Edge modes of gravity -- I: Corner potentials and charges
• Spacetime structure near generic horizons and soft hair
• Local phase space and edge modes for diffeomorphism-invariant theories
• The $\Lambda$-BMS${}_4$ Charge Algebra
• The $\Lambda$-BMS${}_4$ group of dS${}_4$ and new boundary conditions for AdS${}_4$
• Most general AdS_3 boundary conditions
• Generalized Black Holes in Three-dimensional Spacetime
• Extended corner symmetry, charge bracket and Einstein's equations
• Edge modes and corner ambiguities in 3d Chern-Simons theory and gravity
• Enhanced asymptotic symmetry algebra of AdS3
• Edge modes of gravity -- II: Corner metric and Lorentz charges
• Most general flat space boundary conditions in three-dimensional Einstein gravity
• Holographic renormalization as a canonical transformation
• Null boundary phase space: slicings, news and memory
• Boundary conditions for General Relativity on AdS${}_3$ and the KdV hierarchy
• Counter-term charges generate bulk symmetries
• Embeddings and Integrable Charges for Extended Corner Symmetry
• Isolated Surfaces and Symmetries of Gravity
• Edge modes of gravity. Part III. Corner simplicity constraints
• Symmetries at Null Boundaries: Two and Three Dimensional Gravity Cases
• The partial Bondi gauge: Further enlarging the asymptotic structure of gravity
• Lorentz-diffeomorphism edge modes in 3d gravity
• A short review on Noether's theorems, gauge symmetries and boundary terms
• Variational principle and 1-point functions in 3-dimensional flat space Einstein gravity
• Two-dimensional fluids and their holographic duals
• Dynamics of Asymptotic Diffeomorphisms in (2+1)-Dimensional Gravity
• A general framework for gravitational charges and holographic renormalization
• T-Witts from the horizon
• Conservation and Integrability in Lower-Dimensional Gravity
• Universal Corner Symmetry and the Orbit Method for Gravity
• Holonomies, anomalies and the Fefferman-Graham ambiguity in AdS3 gravity
• Weyl Charges in Asymptotically Locally AdS${}_3$ Spacetimes
• Weyl Connections and their Role in Holography
• Holographic Lorentz and Carroll Frames
• Gauges in Three-Dimensional Gravity and Holographic Fluids
• Holographic currents in first order Gravity and finite Fefferman-Graham expansions
• Symmetries at Causal Boundaries in 2D and 3D Gravity
• 3d gravity in Bondi-Weyl gauge: charges, corners, and integrability
• Chiral Massive News: Null Boundary Symmetries in Topologically Massive Gravity
• Boundary conditions for General Relativity in three-dimensional spacetimes, integrable systems and the KdV/mKdV hierarchies
• Uniqueness of the asymptotic AdS3 geometry
• The Fefferman-Graham Ambiguity and AdS Black Holes
• The Holographic Ward identity: Examples from 2+1 gravity
• Asymptotic Renormalization in Flat Space: Symplectic Potential and Charges of Electromagnetism
• Finite Charges from the Bulk Action
• Hydro & Thermo Dynamics at Causal Boundaries, Examples in 3d Gravity
• Obstruction Tensors in Weyl Geometry and Holographic Weyl Anomaly
• Holography and the Polyakov action
• Covariant Charges in Chern-Simons AdS_3 Gravity
• Some aspects of holographic W-gravity
• Weyl-Ambient Geometries

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• Flat from anti-de Sitter
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• Radiation in Fluid/Gravity and the Flat Limit
• Finite actions and asymptotic charges at null infinity for any spin
• Field-dependent diffeomorphisms and the transformation of surface charges between gauges