712 research outputs found
Boundary Holographic Witten Diagrams
In this paper we discuss geodesic Witten diagrams in generic holographic
conformal field theories with boundary or defect. Boundary CFTs allow two
different decompositions of two-point functions into conformal blocks: boundary
channel and ambient channel. Building on earlier work, we derive a holographic
dual of the boundary channel decomposition in terms of bulk-to-bulk propagators
on lower dimensional AdS slices. In the situation in which we can treat the
boundary or defect as a perturbation around pure AdS spacetime, we obtain the
leading corrections to the two-point function both in boundary and ambient
channel in terms of geodesic Witten diagrams which exactly reproduce the
decomposition into corresponding conformal blocks on the field theory side.Comment: 28 pages, 4 figures, v2:included hypergeometric identities for
generic no-brane case, references added, v3:published versio
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