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Can every QFT/CFT be interpreted at least approximately as a theory of gravity? If not, is it known which QFT/CFTs have gravitational counterparts?
Physics Monkey said:We don't know if gravity can be included on the QFT side of holographic setup.
arivero said:Hmm. What do you get if you put a 1+1 CFT in the QFT side?
Physics Monkey said:You get AdS_3. The CFT at finite temperature is dual to the BTZ black hole in AdS_3.
No, the AdS/CFT analogy is primarily used in the fields of theoretical physics and string theory. It has been successfully applied to certain physical systems, such as black holes and superconductors, but it may not be applicable to all systems.
The AdS/CFT analogy is unique in that it relates a quantum field theory in (d+1)-dimensional Anti-de Sitter space (AdS) to a conformal field theory (CFT) in d-dimensional flat space. Other duality theories, such as the gauge/gravity duality, may relate different types of theories or involve different spacetime geometries.
Currently, there is no experimental evidence to support the AdS/CFT analogy. However, it has been extensively studied and used in theoretical models and calculations, and may provide insights into the behavior of physical systems that are difficult to observe directly.
One limitation of the AdS/CFT analogy is that it only applies to systems with a large number of degrees of freedom. Additionally, it may not be applicable to systems with strong interactions or highly curved spacetimes.
The AdS/CFT analogy has been used to study various phenomena in physics, including black hole thermodynamics, quantum gravity, and the strong nuclear force. It has the potential to provide a deeper understanding of the fundamental laws of the universe and the connections between different physical theories.