The gravity/CFT correspondence

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.

6 pages, 1 figure. Published version (EJPC). Significant revisions of abstract/intro

References in corpus (5)

• Einstein gravity as a 3D conformally invariant theory
• The Link between General Relativity and Shape Dynamics
• Coupling Shape Dynamics to Matter Gives Spacetime
• Shape Dynamics in 2+1 Dimensions
• Gauge/Gravity Duality and Some Applications

Cited by in corpus (5)

• Poincaré invariance and asymptotic flatness in Shape Dynamics
• On the Origin of Gravitational Lorentz Covariance
• A Shape Dynamical Approach to Holographic Renormalization
• Cosmological signatures of time-asymmetric gravity
• Linking shape dynamics and loop quantum gravity