Abstract
We extend the Mellin representation of conformal field theory (CFT) to allow for conformal boundaries and interfaces. We consider the simplest holographic setup dual to an interface CFT — a brane filling an AdS d subspace of AdS d+1 — and perform a systematic study of Witten diagrams in this setup. As a byproduct of our analysis, we show that geodesic Witten diagrams in this geometry reproduce interface CFT d conformal blocks, generalizing the analogous statement for CFTs with no defects.
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Rastelli, L., Zhou, X. The Mellin formalism for boundary CFT d . J. High Energ. Phys. 2017, 146 (2017). https://doi.org/10.1007/JHEP10(2017)146
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DOI: https://doi.org/10.1007/JHEP10(2017)146