Vacuum Transitions in Two-Dimensions and their Holographic Interpretation
arXiv:2211.07664 · doi:10.1007/JHEP05(2023)192
Abstract
We calculate amplitudes for 2D vacuum transitions by means of the Euclidean methods of Coleman-De Luccia (CDL) and Brown-Teitelboim (BT), as well as the Hamiltonian formalism of Fischler, Morgan and Polchinski (FMP). The resulting similarities and differences in between the three approaches are compared with their respective 4D realisations. For CDL, the total bounce can be expressed as the product of relative entropies, whereas, for the case of BT and FMP, the transition rate can be written as the difference of two generalised entropies, ultimately enabling to circumvent the need to resort to detailed balance. By means of holographic arguments, we show that the Euclidean methods, as well as the Lorentzian cases without non-extremal black holes, provide examples of an AdS/CFT AdS/CFT correspondence. Such embedding is not possible in the presence of islands for which the setup corresponds to AdS/CFT AdS/CFT. We find that whenever an island is present, up-tunnelling is possible.
arXiv commentV1 103 pages; V2 with reference added; V3 (55 pages) Presentation substantially reduced to improve readership. Results unchanged
References in corpus (57)
- An Alternative to Compactification
- The Black Hole in Three Dimensional Space Time
- A Covariant Holographic Entanglement Entropy Proposal
- Towards a derivation of holographic entanglement entropy
- The dS/CFT Correspondence
- The Page curve of Hawking radiation from semiclassical geometry
- The entropy of Hawking radiation
- Locally Localized Gravity
- Entanglement as a Probe of Confinement
- Aspects of AdS/BCFT
- An Algebra of Observables for de Sitter Space
- Symmetries and Strings of Adjoint QCD
- Information Transfer with a Gravitating Bath
- Entanglement islands in higher dimensions
- Information radiation in BCFT models of black holes
- Gravity and the Crossed Product
- Inconsistency of Islands in Theories with Long-Range Gravity
- Complementarity of the Maldacena and Randall-Sundrum Pictures
- Islands in cosmology
- Bra-ket wormholes in gravitationally prepared states
- The dS/dS Correspondence
- Codimension two holography for wedges
- Holographic entanglement plateaux
- Inflation in AdS/CFT
- Holographic BCFTs and Communicating Black Holes
- Black Hole Microstate Cosmology
- and EE, with implications for (A)dS subregion encodings
- Central Charge for AdS_2 Quantum Gravity
- de Sitter Microstates from and the Hawking-Page Transition
- Comments on wormholes, ensembles, and cosmology
- Lectures on Gravity and Entanglement
- No Ensemble Averaging Below the Black Hole Threshold
- Defect extremal surface as the holographic counterpart of Island formula
- Jackiw-Teitelboim Gravity from the Karch-Randall Braneworld
- The minus sign in the first law of de Sitter horizons
- Holo-ween
- Cosmology from confinement?
- Euclidean Wormholes and Holography
- Aspects of AdS Quantum Gravity and the Karch-Randall Braneworld
- Constructing AdS_2 flow geometries
- Central Charge for 2D Gravity on AdS(2) and AdS(2)/CFT(1) Correspondence
- Holographic and Localization Calculations of Boundary F for SUSY Yang-Mills Theory
- Interacting systems and wormholes
- Islands in Closed and Open Universes
- Bag-of-gold spacetimes, Euclidean wormholes, and inflation from domain walls in AdS/CFT
- Interpolating geometries and the stretched dS horizon
- Lorentzian Vacuum Transitions: Open or Closed Universes?
- Quantum Transitions Between Minkowski and de Sitter Spacetimes
- The Multiverse in an Inverted Island
- Finding in 2+1 dimensional SCFT physics
- Areas and entropies in BFSS/gravity duality
- Stability of the microcanonical ensemble in Euclidean Quantum Gravity
- Inflation Expels Runaways
- New phases of SYM at finite chemical potential
- Page Curve from Defect Extremal Surface and Island in Higher Dimensions
- Can Quantum de Sitter Space Have Finite Entropy?
- Entropy Product Formula for Gravitational Instanton