The Strangest Coincidence in Physics: The AdS/CFT Correspondence. Attempts to turn string theory into a workable theory of nature have led to the potential conclusion that our universe is a hologram: that what we perceive as three spatial dimensions is actually composed of only two.

The AdS/CFT correspondence is a conjectured relationship between two types of physical theories. It’s also known as holographic duality. 

The AdS/CFT correspondence is a major advance in the understanding of string theory and quantum gravity. It’s an example of a holographic duality, where two theories that describe the same physics are formulated in different numbers of spacetime dimensions. 

The AdS/CFT correspondence was proposed in 1997 by Juan Maldacena. It’s motivated by advances in string theory, but it’s not a solution to the problems posed by string theory. 

The AdS/CFT correspondence has led to the potential conclusion that our universe is a hologram. This means that what we perceive as three spatial dimensions is actually composed of only two.

A prominent example of the AdS/CFT correspondence is the AdS5/CFT4 correspondence. This correspondence relates N = 4 supersymmetric Yang–Mills theory in 3+1 dimensions to type IIB superstring theory on AdS₅×S⁵

The AdS/CFT correspondence is a holographic duality, which means that two theories that describe the same physics are formulated in different numbers of spacetime dimensions. The AdS/CFT correspondence is a specific case of holography, which is the idea that any theory of quantum gravity in d+1 dimensions should have a d dimensional QFT associated with it. 

Physicists have not proven the AdS/CFT correspondence to be true, but there is circumstantial evidence from many results that indicate that the conjecture is true.

In the AdS/CFT correspondence, AdS stands for “anti-de Sitter“. The name comes from Willem de Sitter, a physicist and mathematician who explored Einstein’s theory of general relativity in 1917. 

Anti-de Sitter space is a space where the distance between points is defined differently than in Minkowski space. It’s a hyperbolic space with constant negative curvature. 

The AdS/CFT correspondence is a conjectured equivalence between a quantum field theory and a quantum theory of gravity. The “AdS” side is a theory of quantum gravity in D-dimensions, while the “CFT” side is a conformal field theory in (D-1)-dimensions.

AdS/CFT is an exciting new theory that relates two major parts of theoretical physics, which are quantum field theories and gravitational theories (usually string theories). On one hand we have gravity theories that in certain limits reduce to classical theory of relativity

The anti-de Sitter/conformal field theory (AdS/CFT) correspondence is a conjectured equivalence between a quantum field theory in d spacetime dimensions with conformal scaling symmetry and a quantum theory of gravity in (d + 1)-dimensional anti-de Sitter space

The AdS/CFT correspondence (anti-de Sitter/conformal field theory correspondence) is a conjectured relationship between two kinds of physical theories. On one side are anti-de Sitter spaces 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 which are quantum field theories, including theories similar to the Yang–Mills theories that describe elementary particles. 

The duality represents a major advance in the understanding of string theory and quantum gravity. 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 Hooft and promoted by Leonard Susskind. 

It also provides a powerful toolkit for studying strongly coupled quantum field theories. 

The AdS/CFT correspondence has been tested in a number of different ways, and the results have been very encouraging. For example, it has been shown that the correspondence can be used to reproduce the results of string theory in certain limits. It has also been shown that the correspondence can be used to study the behavior of black holes. 

The AdS/CFT correspondence is a very important result in theoretical physics, and it is likely to have a major impact on our understanding of the universe

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