Boundary conformal field theory, holography and bulk locality

Abstract

We study bulk locality in a scalar effective field theory (EFT) in AdS background in presence of an end-of-the-world (EOW) brane. The holographic dual description is given in terms of a boundary conformal field theory (BCFT). We compute the two point correlation function of scalar operators in the BCFT using the one-loop Witten diagrams and compare its analytic structure with the constraints imposed by boundary conformal symmetry. We find that the loop-corrected correlator derived from a local bulk description is not fully compatible with BCFT expectations. This result places nontrivial constraint on bulk locality in holographic BCFT constructions and identifies BCFT correlators as sensitive probes of quantum bulk dynamics in presence of boundaries.

20 pages, 1 figure

References in corpus (19)

• Holography from Conformal Field Theory
• Holographic Dual of BCFT
• Aspects of AdS/BCFT
• The Bootstrap Program for Boundary CFT_d
• Conformal Field Theories Near a Boundary in General Dimensions
• Boundary and Interface CFTs from the Conformal Bootstrap
• Boundary Conformal Field Theory and a Boundary Central Charge
• Universality at large transverse spin in defect CFT
• Line and surface defects for the free scalar field
• The Mellin Formalism for Boundary CFT${}_d$
• An Analytic Approach to BCFT${}_d$
• Analytic Bootstrap for Boundary CFT
• CFT in AdS and boundary RG flows
• Holographic Correlators at Finite Temperature
• Operator expansions, layer susceptibility and two-point functions in BCFT
• On Analytic Bootstrap for Interface and Boundary CFT
• Six-dimensional Methods for Four-dimensional Conformal Field Theories II: Irreducible Fields
• Conformal dispersion relations for defects and boundaries
• Boundary Holographic Witten Diagrams