Notes on n-point Witten diagrams in AdS2

Abstract

AbstractWitten diagrams provide a perturbative framework for calculations in anti-de-Sitter space and play an essential role in a variety of holographic computations. In the case of this study in AdS2, the one-dimensional boundary allows for a simple setup, in which we obtain perturbative analytic results for correlators with the residue theorem. This elementary method is used to find all scalarn-point contact Witten diagrams for external operators of conformal dimensions Δ = 1 and Δ = 2, and to determine topological correlators of Yang–Mills in AdS2. Another established method is applied to explicitly compute exchange diagrams and give an example of a Polyakov block ind= 1. We also check perturbatively a recently proposed multipoint Ward identity with the strong coupling expansion of the six-point function of operators inserted on the 1/2 BPS Wilson line inN= 4 SYM.