Looking for (and not finding) a bulk brane

Abstract

When does a holographic CFT with a boundary added to it (a BCFT) also have a `good' holographic dual with a localized gravitating end-of-the-world brane? We argue that the answer to this question is almost never. By studying Lorentzian BCFT correlators, we characterize constraints imposed on a BCFT by the existence of a bulk causal structure. We argue that approximate `bulk brane' singularities place restrictive constraints on the spectrum of a BCFT that are not expected to be true generically. We discuss how similar constraints implied by bulk causality might apply in higher-dimensional holographic descriptions of BCFTs involving a degenerating internal space. We suggest (although do not prove) that even these higher-dimensional holographic duals are not generic.

Minor edits to v1 (comments and citations added in footnotes); acknowledgments added

References in corpus (12)

• Holography from Conformal Field Theory
• Writing CFT correlation functions as AdS scattering amplitudes
• Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory
• Exact half-BPS Type IIB interface solutions I: Local solution and supersymmetric Janus
• Inconsistency of Islands in Theories with Long-Range Gravity
• Spin-2 spectrum of defect theories
• Bounds for OPE coefficients on the Regge trajectory
• AdS Bulk Locality from Sharp CFT Bounds
• TASI lectures on AdS/CFT
• Finding $Ad{S}^5\times S^5$ in 2+1 dimensional SCFT physics
• The Dictionary for Double Holography and Graviton Masses in d Dimensions
• Into the Bulk: A Covariant Approach

Cited by in corpus (11)

• BCFT and Islands in Two Dimensions
• Sailing past the End of the World and discovering the Island
• Brane Dynamics of Holographic BCFTs
• Structure of Holographic BCFT Correlators from Geodesics
• The Spectrum of Boundary States in Symmetric Orbifolds
• Conformal Boundary Condition and Massive Gravitons in AdS/BCFT
• Bounds on gravitational brane couplings and tomography in AdS3 black hole microstates
• Universal Dynamics of Heavy Operators in Boundary CFT${}_2$
• Holographic Coarse-Graining: Correlators from the Entanglement Wedge and Other Reduced Geometries
• Radiation, entanglement and islands from a boundary local quench
• Information metric on the boundary