Abstract
In this paper we discuss geodesic Witten diagrams in generic holographic conformal field theories with boundary or defect. Boundary CFTs allow two different de-compositions 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.
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ArXiv ePrint: 1708.01328
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Karch, A., Sato, Y. Boundary holographic Witten diagrams. J. High Energ. Phys. 2017, 121 (2017). https://doi.org/10.1007/JHEP09(2017)121
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DOI: https://doi.org/10.1007/JHEP09(2017)121