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The gravity/CFT correspondence
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DOI：10.1140/epjc/s10052-013-2275-3.png)
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Abstract
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General Relativity can be formulated in terms of a spatially Weyl invariant gauge theory called Shape Dynamics. Using this formulation, we establish a bulk/bulk duality between gravity and a Weyl invariant theory on spacelike Cauchy hypersurfaces. This duality has two immediate consequences: (i) it leads trivially to a corresponding bulk/boundary duality between General Relativity and a boundary CFT, and (ii) the boundary can be defined in a gauge-invariant way. Moreover, the corresponding bulk/boundary duality is sufficient to explain a large portion of the evidence in favor of gauge/gravity duality and provides independent evidence for the AdS/CFT correspondence.
Keywords:
INITIAL-VALUE PROBLEM
COUPLED FIELDS
SPACETIME
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