What is the smoking gun that validates ADS/CFT

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SUMMARY

The discussion centers on the lack of definitive proof for the AdS/CFT correspondence, a concept primarily proposed by Juan Maldacena involving N=4 Super Yang-Mills (SYM) theory. While some dualities under the AdS/CFT umbrella are accepted due to perturbative equivalence and matching correlation functions, others, such as AdS2/CFT1, remain poorly understood. Experimental work has linked AdS/CFT to properties of perfect liquids, particularly the shear viscosity to entropy ratio, with contributions from researchers like Subir Sachdev. Despite its utility in theoretical physics, the inherent complexities of gauge gravity dualities, often involving supersymmetric and conformal field theories, hinder the establishment of absolute validation.

PREREQUISITES
  • Understanding of AdS/CFT correspondence
  • Familiarity with N=4 Super Yang-Mills (SYM) theory
  • Knowledge of quantum field theory (QFT)
  • Basic concepts in condensed matter physics
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  • Research the implications of AdS/CFT in condensed matter physics
  • Explore the experimental studies on shear viscosity to entropy ratio
  • Investigate the various dualities under the AdS/CFT framework
  • Learn about perturbative methods in quantum field theory
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Theoretical physicists, researchers in quantum field theory, and anyone interested in the applications of AdS/CFT correspondence in condensed matter physics will benefit from this discussion.

jarod765
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To my understanding there is no proof of ADS/CFT but people seem to take it as absolute fact. What is the reason for this?
 
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Like a lot of dualities and ideas in physics there is no proof for AdS/CFT and I don't see there being one for awhile. Its hard enough to make QFT rigorous by itself!

Also AdS/CFT is a little broad. There are a lot of dualities that go under AdS/CFT, the most famous one being what Juan Maldacena originally proposed using N=4 SYM. There are proposed dualities that aren't well understood (like AdS2/CFT1 duality). The ones that are accepted as true are generally ones that either have been proved to be equivalent perturbatively and/or ones where its been observed that all the correlation functions seem to match.

Experimentally there was some interesting work involving AdS/CFT with respect to perfect liquids and the ratio of shear viscosity to entropy and Subir Sachdev has been doing a lot of work connecting it to condensed matter physics. The problem there is that the field theories that are used in gauge gravity dualities are typically supersymmetric and conformal so an exact agreement isn't exactly likely.

There's also the fact that it can be incredibly useful so a lot theorists hope its right!
 

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