http://arxiv.org/abs/1305.6315(adsbygoogle = window.adsbygoogle || []).push({});

Why gravity codes the renormalization of conformal field theories

Henrique Gomes, Sean Gryb, Tim Koslowski, Flavio Mercati, Lee Smolin

(Submitted on 27 May 2013)

We give a new demonstration that General Relativity in d+1 dimensions with negative or positive cosmological constant codes the renormalization group behaviour of conformal field theories (CFT) in d dimensions. This utilizes Shape Dynamics, which is a conformally invariant theory known to be equivalent to General Relativity. A key result of Shape Dynamics is that the evolution of observables under local conformal transformations and spatial diffeomorphisms is shown to be equivalent to many fingered time, i.e., d+1-dimensional spacetime diffeomorphisms. This relationship explains why the renormalization group flow of a CFT is governed by a geometry with d+1-dimensional spacetime diffeomorphism invariance.

25 pages

See point 3 on page 4. An interesting challenge to the Maldacena Conjecture. Potentially undermines by removing supporting evidence.

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# Why gravity codes renormalization of conformal field theories

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