Partial Reduction and Cosmology at Defect Brane

Abstract

Partial reduction is a Randall-Sundrum reduction for only part of the AdS region between finite tension brane and zero tension brane. This is interesting in AdS/BCFT where the AdS bulk contains a defect brane. We employ partial reduction for a AdS bulk with a brane evolving as a $2d$ Friedmann-Robertson-Walker (FRW) cosmology and demonstrate the equivalence between defect extremal surface and island formula for a large subregion fine grained entropy in boundary CFT. We then move to higher dimensions and demonstrate the existence of $4d$ massless graviton on AdS${}_4$ brane in partial reduction. We also propose a partial reduction for a $4d$ FRW cosmology at defect brane and obtain the Newton constant by computing boundary entropy.

arXiv comment27+1 pages, 14 figures

References in corpus (39)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• Holographic Derivation of Entanglement Entropy from AdS/CFT
• The Black Hole in Three Dimensional Space Time
• Generalized gravitational entropy
• Replica Wormholes and the Entropy of Hawking Radiation
• Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime
• Quantum corrections to holographic entanglement entropy
• The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
• The Page curve of Hawking radiation from semiclassical geometry
• Locally Localized Gravity
• Open and Closed String Interpretation of SUSY CFT's on Branes with Boundaries
• Holographic Dual of BCFT
• Aspects of AdS/BCFT
• Conformal Field Theories Near a Boundary in General Dimensions
• Massive Islands
• Information Transfer with a Gravitating Bath
• Entanglement islands in higher dimensions
• Information radiation in BCFT models of black holes
• Inconsistency of Islands in Theories with Long-Range Gravity
• Islands in cosmology
• Bra-ket wormholes in gravitationally prepared states
• An Information Paradox and Its Resolution in de Sitter Holography
• Codimension two holography for wedges
• Defect Conformal Field Theory and Locally Localized Gravity
• Islands in de Sitter space
• Holographic BCFTs and Communicating Black Holes
• Black Hole Microstate Cosmology
• BCFT entanglement entropy at large central charge and the black hole interior
• Towards a $C$-theorem in defect CFT
• Cosmology at the end of the world
• Defect extremal surface as the holographic counterpart of Island formula
• Cosmology from confinement?
• Island for Gravitationally Prepared State and Pseudo Entanglement Wedge
• Analytic Bootstrap in 2D Boundary Conformal Field Theory: Towards Braneworld Holography
• Spectrum of End of the World Branes in Holographic BCFTs
• Geometries with mismatched branes
• Holographic boundary states and dimensionally-reduced braneworld spacetimes
• Effective Action, Spectrum and First Law of Wedge Holography

Cited by in corpus (9)

• AdS/BCFT and Island for curvature-squared gravity
• JT Gravity from Partial Reduction and Defect Extremal Surface
• Entanglement entropy analysis of dyonic black holes using doubly holographic theory
• Bounds on gravitational brane couplings and tomography in AdS3 black hole microstates
• End of the World Brane meets $T\bar{T}$
• Holographic complexity: braneworld gravity versus the Lloyd bound
• Holographic boundary conformal field theory with $T\bar{T}$ deformation
• Entanglement Negativity and Defect Extremal Surface
• Entanglement, defects, and $T\bar{T}$ on a black hole background