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High Energy Physics - Theory, hep-th
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.
