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arXiv · 1305.6315

A Shape Dynamical Approach to Holographic Renormalization

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

We provide a bottom-up argument to derive some known results from holographic renormalization using the classical bulk-bulk equivalence of General Relativity and Shape Dynamics, a theory with spatial conformal (Weyl) invariance. The purpose of this paper is twofold: 1) to advertise the simple classical mechanism: trading of gauge symmetries, that underlies the bulk-bulk equivalence of General Relativity and Shape Dynamics to readers interested in dualities of the type of AdS/CFT; and 2) to highlight that this mechanism can be used to explain certain results of holographic renormalization, providing an alternative to the AdS/CFT conjecture for these cases. To make contact with usual the semiclassical AdS/CFT correspondence, we provide, in addition, a heuristic argument that makes it plausible why the classical equivalence between General Relativity and Shape Dynamics turns into a duality between radial evolution in gravity and the renormalization group flow of a conformal field theory. We believe that Shape Dynamics provides a new perspective on gravity by giving conformal structure a primary role within the theory. It is hoped that this work provides the first steps towards understanding what this new perspective may be able to teach us about holographic dualities.

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Henrique Gomes, Sean Gryb, Tim Koslowski, Flavio Mercati, Lee Smolin. 2015-01-12. A Shape Dynamical Approach to Holographic Renormalization. https://doi.org/10.1140/epjc%2Fs10052-014-3238-z

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