Gauge/Gravity correspondence, string theory or any QG?

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SUMMARY

The discussion centers on the AdS/CFT correspondence, asserting it as an exact relationship between any theory of quantum gravity (QG) in asymptotically AdSd+1 spacetime and a conformal field theory (CFT)d without gravity. Participants express skepticism regarding the universality of this claim, emphasizing that existing evidence primarily stems from string theory, particularly the Large N expansion and the low-energy descriptions of N coinciding branes in terms of supergravity (SUGRA) and N=4 supersymmetric Yang-Mills (SYM). The need for explicit embeddings in string theory or other QG theories is highlighted as crucial for validating the author's assertions.

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  • Understanding of AdS/CFT correspondence
  • Familiarity with string theory concepts
  • Knowledge of supergravity (SUGRA) and N=4 supersymmetric Yang-Mills (SYM)
  • Basic principles of quantum gravity (QG)
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  • Research the implications of the AdS/CFT correspondence in quantum gravity theories
  • Explore the Large N expansion in the context of string theory
  • Investigate Wilsonian renormalization group arguments related to holography
  • Study explicit embeddings of quantum gravity theories in string theory frameworks
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The discussion is beneficial for theoretical physicists, string theorists, and researchers interested in quantum gravity and holographic principles.

ShayanJ
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In this note, the author says:
The AdS/CFT correspondence is the an exact relationship between any theory of quantum gravity in asymptotically ##AdS_{d+1}## spacetime and an ordinary ##CFT_d## ,without gravity.
with the following footnote:
Some people might obect to the word ‘any’ here. To be safe, we could say ‘any theory that we
know how to define in the UV and acts like ordinary gravity+QFT in the IR.’

But I don't understand how that can be true. All the evidence for the cojecture arises from string theory: Similarity of Large N expansion and the perturbative expansion of a string theory and the equivalent low energy description of N coinciding branes in terms of SUGRA and ##\mathcal N=4 ## SYM(which are both low energy limits of a string theory).

So, how can the author claim that this correspondence is between any theory of QG and a CFT?

Thanks
 
Last edited:
I think he can't. It's a matter of intuïtion how general holography could be, but intuïtion is no hard proof. I have the same feelings with flat space holography or non-relativistic AdS/CFT. Without an explicit embedding in string theory (or another theory of QG, as the author suggests) one should be very carefull.

But maybe there is some Wilsonian argument or something which makes his claim possible. I'd be happy to see that too :)
 
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