More on Boundary Holographic Witten Diagrams
arXiv:1711.02138 · doi:10.1103/PhysRevD.97.026005
Abstract
In this paper we discuss geodesic Witten diagrams in general holographic conformal field theories with boundary or defect. In boundary or defect conformal field theory, two-point functions are non-trivial and can be decomposed into conformal blocks in two distinct ways; ambient channel decomposition and boundary channel decomposition. In our previous work we only consider two-point functions of same operators. We generalize our previous work to a situation where operators in two-point functions are different. We obtain two distinct decomposition for two-point functions of different operators.
16 pages, 5 figures, v2: published version in PRD