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Bridging Carrollian and Celestial Holography

Laura DonnayAdrien FiorucciYannick HerfrayRomain Ruzziconi
Dec 2022
摘要
Gravity in $4d$ asymptotically flat spacetime constitutes the archetypalexample of a gravitational system with leaky boundary conditions. Pursuing ouranalysis of [1], we argue that the holographic description of such a systemrequires the coupling of the dual theory living at null infinity to someexternal sources encoding the radiation reaching the conformal boundary andresponsible for the non-conservation of the charges. In particular, we showthat the sourced Ward identities of a conformal Carrollian field theory livingat null infinity reproduce the BMS flux-balance laws. We also derive thegeneral form of low-point correlation functions for conformal Carrollian fieldtheories and exhibit a new branch of solutions, which is argued to be therelevant one for holographic purposes. We then relate our Carrollian approachto the celestial holography proposal by mapping the Carrollian Ward identitiesto those constraining celestial operators through a suitable integraltransform.
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