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A New Framework for Higher Loop Witten Diagrams
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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 $\Delta=d$. We compare the former to a position space computation.
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Differential Representation for Carrollian Correlators
Scalar Carrollian correlators admit a differential representation in which exchange diagrams are obtained from contact diagrams by commuting translation operators, matching the modified Mellin transform of flat-space ...
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