Algebra of diffeomorphism-invariant observables in Jackiw-Teitelboim Gravity
arXiv:2108.04841 · doi:10.1007/JHEP05(2022)097
Abstract
In this paper we use the covariant Peierls bracket to compute the algebra of a sizable number of diffeomorphism-invariant observables in classical Jackiw-Teitelboim gravity coupled to fairly arbitrary matter. We then show that many recent results, including the construction of traversable wormholes, the existence of a family of algebras acting on the matter fields, and the calculation of the scrambling time, can be recast as simple consequences of this algebra. We also use it to clarify the question of when the creation of an excitation deep in the bulk increases or decreases the boundary energy, which is of crucial importance for the "typical state" versions of the firewall paradox. Unlike the "Schwarzian" or "boundary particle" formalism, our techniques involve no unphysical degrees of freedom and naturally generalize to higher dimensions. We do a few higher-dimensional calculations to illustrate this, which indicate that the results we obtain in JT gravity are fairly robust.
arXiv comment85 pages plus appendices, 15 figures, many deviant geodesics. v2: minor corrections and references added
References in corpus (50)
- Non-Gaussian features of primordial fluctuations in single field inflationary models
- A bound on chaos
- Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
- Black holes and the butterfly effect
- Black Holes: Complementarity or Firewalls?
- Black holes as mirrors: quantum information in random subsystems
- Fast Scramblers
- Complexity and Shock Wave Geometries
- Chaos in AdS holography
- An Investigation of AdS Backreaction and Holography
- Holographic representation of local bulk operators
- Traversable Wormholes via a Double Trace Deformation
- The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
- Jerusalem Lectures on Black Holes and Quantum Information
- Multiple Shocks
- An Apologia for Firewalls
- Diving into traversable wormholes
- Analytic Continuation of Liouville Theory
- Setting the boundary free in AdS/CFT
- Wormholes, Emergent Gauge Fields, and the Weak Gravity Conjecture
- Gauge/Gravity Duality and the Black Hole Interior
- Observables in effective gravity
- On Gravitational Shock Waves in Curved Spacetimes
- Eikonal Approximation in AdS/CFT: Resumming the Gravitational Loop Expansion
- Eikonal Approximation in AdS/CFT: From Shock Waves to Four-Point Functions
- Diffeomorphism-invariant observables and their nonlocal algebra
- Covariant phase space with boundaries
- Holography in the Flat Space Limit
- Models of AdS_2 Backreaction and Holography
- S-Matrices from AdS Spacetime
- Decoding the hologram: Scalar fields interacting with gravity
- Disrupting Entanglement of Black Holes
- Construction of Bulk Fields with Gauge Redundancy
- Symmetries Near the Horizon
- Almost Ideal Clocks in Quantum Cosmology: A Brief Derivation of Time
- Black Hole Boundary Conditions and Coordinate Conditions
- Covariant Poisson Brackets in Geometric Field Theory
- The Master Ward Identity and Generalized Schwinger-Dyson Equation in Classical Field Theory
- Covariant phase space, constraints, gauge and the Peierls formula
- Removal of violations of the Master Ward Identity in perturbative QFT
- Gauge-invariant observables, gravitational dressings, and holography in AdS
- The Generalized Peierls Bracket
- TASI Lectures on the Emergence of the Bulk in AdS/CFT
- Holographic Quantum Error Correction and the Projected Black Hole Interior
- Surface Theory: the Classical, the Quantum, and the Holographic
- Gauge-invariant observables in gravity and electromagnetism: black hole backgrounds and null dressings
- Poisson Bracket on the Space of Histories
- Null particle solutions in three-dimensional (anti-) de Sitter spaces
- Information Transfer and Black Hole Evaporation via Traversable BTZ Wormholes
- Holography and unitarity
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