Under stated assumptions on the matter and on maximal volume slices, the ADM phase space of gravity in AdS is shown to be physically equivalent to a phase space with the real Weyl-anomaly constraint, and CFT partition functions with imaginary central charge are candidate quantum gravity states.
Anti de Sitter space and holography,
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Conformal Cauchy Slice Holography: An Alternative Phase Space For Gravity
Under stated assumptions on the matter and on maximal volume slices, the ADM phase space of gravity in AdS is shown to be physically equivalent to a phase space with the real Weyl-anomaly constraint, and CFT partition functions with imaginary central charge are candidate quantum gravity states.