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2021

State-Operator Correspondence in Celestial Conformal Field Theory

Crawley, Erin, Miller, Noah, Narayanan, Sruthi A. et al.

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The bulk-to-boundary dictionary for 4D celestial holography is given a new entry defining 2D boundary states living on oriented circles on the celestial sphere.

The states are constructed using the 2D CFT state-operator correspondence from operator insertions corresponding to either incoming or outgoing particles which cross the celestial sphere inside the circle.
The BPZ construction is applied to give an inner product on such states whose associated bulk adjoints are shown to involve a shadow transform.
Scattering amplitudes are then given by BPZ inner products between states living on the same circle but with opposite orientations.

State-Operator Correspondence in Celestial Conformal Field Theory · Around

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