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- W3100373003 abstract "A bstract We develop a systematic unitarity method for loop-level AdS scattering amplitudes, dual to non-planar CFT correlators, from both bulk and boundary perspectives. We identify cut operators acting on bulk amplitudes that put virtual lines on shell, and show how the conformal partial wave decomposition of the amplitudes may be efficiently computed by gluing lower-loop amplitudes. A central role is played by the double discontinuity of the amplitude, which has a direct relation to these cuts. We then exhibit a precise, intuitive map between the diagrammatic approach in the bulk using cutting and gluing, and the algebraic, holographic unitarity method of [1] that constructs the non-planar correlator from planar CFT data. Our analysis focuses mostly on four-point, one-loop diagrams — we compute cuts of the scalar bubble, triangle and box, as well as some one-particle reducible diagrams — in addition to the five-point tree and four-point double-ladder. Analogies with S-matrix unitarity methods are drawn throughout." @default.
- W3100373003 created "2020-11-23" @default.
- W3100373003 creator A5043856323 @default.
- W3100373003 creator A5050136541 @default.
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- W3100373003 date "2020-03-11" @default.
- W3100373003 modified "2023-10-17" @default.
- W3100373003 title "Unitarity methods in AdS/CFT" @default.
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- W3100373003 doi "https://doi.org/10.1007/jhep03(2020)061" @default.
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