Question

In AdS/CFT correspondence, what information about the AdS space is being encoded in the CFT boundary?

Answer 1

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✔️✔️I got confused though about what he calls NN. Basically he says NN is the number of fields and that it should be N>>1N>>1 for AdS/CFT to work.

I thought NN in this context usually means the number of super symmetries.

Is he just being confusing.


information about the AdS space is being encoded in the CFT boundary

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Answer 2

In theoretical physics, the anti-de Sitter/conformal field theory correspondence, sometimes called Maldacena duality or gauge/gravity duality, is a conjectured relationship between two kinds of physical theories. On one side are anti-de Sitter spaces (AdS) which are used in theories of quantum gravity, formulated in terms of string theory or M-theory. On the other side of the correspondence are conformal field theories (CFT) which are quantum field theories, including theories similar to the Yang–Mills theories that describe elementary particles.

The duality represents a major advance in our understanding of string theory and quantum gravity.[1] This is because it provides a non-perturbative formulation of string theory with certain boundary conditions and because it is the most successful realization of the holographic principle, an idea in quantum gravity originally proposed by Gerard 't Hooftand promoted by Leonard Susskind.

It also provides a powerful toolkit for studying strongly coupled quantum field theories.[2]Much of the usefulness of the duality results from the fact that it is a strong-weak duality: when the fields of the quantum field theory are strongly interacting, the ones in the gravitational theory are weakly interacting and thus more mathematically tractable. This fact has been used to study many aspects of nuclear and condensed matter physics by translating problems in those subjects into more mathematically tractable problems in string theory.