The anti-Sitter space

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The anti-de Sitter space - maximum symmetrical lorenz variety with constant, negative curvature curvature. This is the Lorentz analogy of the n-dimensional hyperbolic space, just as the Minkowski space and the de Sitter space are analogues of the Euclidean and elliptic space.

This concept is best known for its role in AdS / CFT correspondence.

In the language of general relativity, the Sitter's anti-de space is the maximum symmetric, vacuum solution of Einstein's gravitational field equations with the negativity of the cosmological constant & # x039B; {\displaystyle \Lambda } (corresponding to the negative density of vacuum energy and positive pressure).

In mathematics, the anti-de Sitter space is sometimes defined more generally as arbitrary signature space (p, q). In general physics is a case with one temporal dimension. Because of the different character set, it corresponds to two types of notation (n-1,1) or (1, n-1). Bibliography

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