A New Framework for Higher Loop Witten Diagrams
Aidan Herderschee · arXiv (Cornell University) · 2021
The differential representation is a novel formalism for studying boundary correlators in $(d+1)$-dimensional anti-de Sitter space. In this letter, we generalize the differential representation beyond tree level using the notion of operator-valued integrals. We use the differential representation to compute three-point bubble and triangle Witten diagrams with external states of conformal dimension $Δ=d$. We compare the former to a position space computation.