Could the correspondence be proven along the lines suggested by Laurent Freidel---one of the leaders in LQG research?(adsbygoogle = window.adsbygoogle || []).push({});

If you haven't heard of Freidel, there are two covariant LQG models currently being studied one being Rovelli et al, the other being Freidel et al's. He gave the invited LQG talks at the Paris 2009 Marcel Grossmann and the Sydney 2007 GR18 conferences.

That is to say if you are organizing a major international conference and you want one plenary speaker to describe current progress in LQG then you invite either Rovelli or Freidel.

So it might be interesting to see what tentative preliminary things Freidel has to say about AdS/CFT.

I was prompted to post this by Demystifier's comment in another thread:

It is a simple but nevertheless observation that AdS/CFT makes sense without string. And is even perhaps Demystifier said: ↑Actually, maybe it is AdS/CFT that destroyed string theory (from the inside), because it turned out thatAdS/CFT makes sense even without stringtheory, so many string theorists suddenly started to do AdS/CFT without doing string theory.

...provablein certain cases with other (nonstring) methods.

http://arxiv.org/abs/0804.0632

Reconstructing AdS/CFT

Laurent Freidel

34 pages

(Submitted on 4 Apr 2008)

"In this note we clarify the dictionary between pure quantum gravity on the bulk in the presence of a cosmological constant and a CFT on the boundary. We show for instance that there is a general correspondence between quantum gravity 'radial states' and a pair of CFT's. Restricting to one CFT is argued to correspond to states possessing an asymptotic infinity. This point of view allows us to address the problem ofreconstructing the bulk from the boundary. And in the second part of this paper we present an explicit formula which gives, from the partition function of any 2 dimensional conformal field theory, a wave functional solution to the 3-dimensional Wheeler-DeWitt equation. This establishes at the quantum level a precise dictionary between 2d CFT and pure gravity."

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# AdS/CFT without string theory

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