2017/05/31 by Leonardo Rastelli, Xinan Zhou · 1 citation
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Anti-de Sitter space #Black Holes and Theoretical Physics #Boundary (topology) #Boundary conformal field theory #Conformal anomaly #Conformal field theory #Conformal map #Formalism (music) #Geodesic #Primary field #Subspace topology #hep-th
paper · pdf · doi:10.1007/jhep10(2017)146
published as JHEP 10 (2017) 146 · 38 pages, 7 figures; v2 references added, minor changes; v3 typos corrected, derivation in 4.3 now applies to the most general case. Published version
openalex created_date 2017/05/26 · openalex publication_date 2017/10/01 · arxiv created 2017/10/27 · arxiv updated 2017/10/30 · openalex updated_date 2026/08/06
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.