Anti De Sitter Space

In fact the theoretical world he studied had the most amount of supersymmetry possible it was maximally supersymmetrical.

Anti de sitter space. In 4d 3 space and 1 time often called 3 1 space our universe is curved. Second our tiny present day cosmological constant currently accounts for about 68 of the energy density of the universe and this fraction is growing as the universe continues to expand. Space that may be relevant for the famed ads cft anti de sitter space conformal field theory correspondence also known as holographic duality or gauge gravity duality. It is called an n p dimensional anti de sitter space of constant curvature c and of index p.

Particular care is taken over the distinction between anti de sitter and it s covering space. In a series of advances that began in 2017 and continue to this day moschidis has shown that a certain canonical configuration of einsteinian space time called anti de sitter ads space is unstable. Anti de sitter space is the maximally symmetric solution to field equations with negative cosmological constant. Written version of lectures given at 2nd samos meeting held at at pythagoreon samos greece 31 august 4 september 1998 and published as anti de sitter spacetime and its uses in mathematical and quantum aspects of relativity and cosmology.

De sitter space and anti de sitter space are named after willem de sitter 1872 1934 professor of astronomy at leiden university and director of the leiden observatory. Our universe at least at present is more similar to a de sitter space. Dafermos faith in moschidis was well placed. This means we are entering a second de sitter phase.

The negative cosmological constant also shows that the spacetime has negative curvature. Throw a tiny bit of matter into ads space and eventually a black hole will emerge. There is cosmological evidence that the universe itself is asymptotically de sitter see de sitter universe. A hypersurface m of h 1 n 1 c is said to be space like if the metric on m induced by that of ambient space h 1 n 1 c is positive definite.

I don t understand how is the cosmological constant related to the curvature of spacetime. The early in ationary de sitter phase had a. 2 the simplest answer the simplest answer to whether our universe is curved or flat is this. Ation well approximated by de sitter spacetime.