Holographic two-point functions for Janus interfaces in the $D1/D5$ CFT

Abstract

This paper investigates scalar perturbations in the top-down supersymmetric Janus solutions dual to conformal interfaces in the $D1/D5$ CFT, finding analytic closed-form solutions. We obtain an explicit representation of the bulk-to-bulk propagator and extract the two-point correlation function of the dual operator with itself, whose form is not fixed by symmetry alone. We give an expression involving the sum of conformal blocks associated with the bulk-defect operator product expansion and briefly discuss finite-temperature extensions. To our knowledge, this is the first two-point function computation for a fully-backreacted, top-down holographic defect.

30 pages, PDFLaTex

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Cited by in corpus (8)

• Universality at large transverse spin in defect CFT
• Unitarity of Entanglement and Islands in Two-Sided Janus Black Holes
• Looking for (and not finding) a bulk brane
• Double Trace Interfaces
• Traversable AdS Wormhole via Non-local Double Trace or Janus Deformation
• Holographic 2-Point Functions in the Pseudo-Conformal Universe
• Comparing top-down and bottom-up holographic defects and boundaries
• D5-brane in AdS black holes with nonzero gauge flux