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Bridging Carrollian and Celestial Holography
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Bridging Carrollian and Celestial Holography
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Gravity in $4d$ asymptotically flat spacetime constitutes the archetypal example of a gravitational system with leaky boundary conditions. Pursuing our analysis of [1], we argue that the holographic description of such a system requires the coupling of the dual theory living at null infinity to some external sources encoding the radiation reaching the conformal boundary and responsible for the non-conservation of the charges. In particular, we show that the sourced Ward identities of a conformal Carrollian field theory living at null infinity reproduce the BMS flux-balance laws. We also derive the general form of low-point correlation functions for conformal Carrollian field theories and exhibit a new branch of solutions, which is argued to be the relevant one for holographic purposes. We then relate our Carrollian approach to the celestial holography proposal by mapping the Carrollian Ward identities to those constraining celestial operators through a suitable integral transform.
Forward citations
Cited by 34 Pith papers
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Radiation in Fluid/Gravity and the Flat Limit
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QFT in Klein space
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Operator Product Expansion in Carrollian CFT
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Observing Massive Scattering from Null Infinity
Late-time Bondi mass aspect at future null infinity acts as a detector for massive radiation, with its in-in correlations relating to weighted sums of scattering cross sections.
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Massive fields in 3D Minkowski space and boundary correlators
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On Carrollian Loop Amplitudes for Gauge Theory and Gravity
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Review of symmetries, celestial CFT, twistor interplay, and AdS/CFT connections in the search for a celestial dual to flat-spacetime quantum gravity.
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Topics in Celestial holography: A bottom-up perspective
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