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Structure of Holographic BCFT Correlators from Geodesics
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abstract
We compute correlation functions, specifically 1-point and 2-point functions, in holographic boundary conformal field theory (BCFT) using geodesic approximation. The holographic model consists of a massive scalar field coupled to a Karch-Randall brane -- a rigid boundary in the bulk AdS space. Geodesic approximation requires the inclusion of paths reflecting off of this brane, which we show in detail. For the 1-point function, we find agreement between geodesic approximation and the harder $\Delta$-exact calculation, and we give a novel derivation of boundary entropy using the result. For the 2-point function, we find a factorization phase transition and a mysterious set of anomalous boundary-localized BCFT operators. We also discuss some puzzles concerning these operators.
Forward citations
Cited by 3 Pith papers
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Holographic Correlators of Boundary/Crosscap CFTs in Two Dimensions
Explicit bulk derivations yield two- and three-point stress tensor correlators in AdS3/BCFT2 and scalar and stress tensor correlators for XCFT2 on RP2, with tension independence and finite-cutoff deformations.
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Defects extremal surfaces and interface CFTs
A generalized defect-extremal-surface prescription for AdS3/ICFT2 is shown to match island-formula entropies in the large-tension limit and to produce Page curves for 2d eternal black holes.
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String theory methods for defect CFTs
A review paper that re-presents earlier results on integrable probe-brane defects and holographic defect correlators without adding a new central result.
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