A new framework for higher loop Witten diagrams

Herderschee, Aidan

doi:10.1007/jhep06(2024)008

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A new framework for higher loop Witten diagrams

Herderschee, Aidan

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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 ∆ = d. We compare the former to a position space computation.

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS AdS-CFT Correspondence Differential Equations Differential Geometry Ordinary Differential Equations Partial Differential Equations on Manifolds Personality and Differential Psychology Physics Scattering Amplitudes Special Functions

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Herderschee, Aidan. 2024-06-04. A new framework for higher loop Witten diagrams. https://doi.org/10.1007/jhep06(2024)008

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