Eur. Phys. J. C (2013) 73: 2275
https://doi.org/10.1140/epjc/s10052-013-2275-3

Regular Article - Theoretical Physics

The gravity/CFT correspondence

¹ University of California at Davis, One Shields Avenue, Davis, CA, 95616, USA
² Utrecht University, Leuvenlaan 4, 3584 CE, Utrecht, The Netherlands
³ Perimeter Institute for Theoretical Physics, Waterloo, Ontario, N2L 2Y5, Canada
⁴ Dept. of Mathematics and Statistics, University of New Brunswick, Fredericton, New Brunswick, E3B 5A3, Canada
⁵ Departamento de Física Teórica, Universidad de Zaragoza, Zaragoza, 50009, Spain
⁶ School of Mathematical Sciences, University of Nottingham, Nottingham, NG7 2RD, UK

^* e-mail: sean.gryb@gmail.com

Received: 24 September 2012
Published online: 17 January 2013

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.