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arXiv · 1105.0938

The gravity/CFT correspondence

Henrique Gomes·Sean Gryb·Tim Koslowski·Flavio Mercati
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Abstract

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.

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Henrique Gomes, Sean Gryb, Tim Koslowski, Flavio Mercati. 2013-01-10. The gravity/CFT correspondence. https://doi.org/10.1140/epjc%2Fs10052-013-2275-3

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