A New Framework for Higher Loop Witten Diagrams
Abstract
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 =d. We compare the former to a position space computation.
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