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.

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

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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
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• 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