English

The gravity/CFT correspondence

General Relativity and Quantum Cosmology 2013-01-23 v2 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.1105.0938,
  title  = {The gravity/CFT correspondence},
  author = {Henrique Gomes and Sean Gryb and Tim Koslowski and Flavio Mercati},
  journal= {arXiv preprint arXiv:1105.0938},
  year   = {2013}
}

Comments

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

R2 v1 2026-06-21T18:02:59.244Z