* AdS / CFT correspondence, ( anti de Sitter / conformal field theory correspondence ), sometimes called the Maldacena duality

In mathematics and physics, n-dimensional anti de Sitter space, sometimes written, is a maximally symmetric Lorentzian manifold with constant negative scalar curvature.

In the language of general relativity, anti de Sitter space is a maximally symmetric, vacuum solution of Einstein's field equation with a negative ( attractive ) cosmological constant ( corresponding to a negative vacuum energy density and positive pressure ).

In mathematics, anti de Sitter space is sometimes defined more generally as a space of arbitrary signature ( p, q ).

Then it discusses how de Sitter space describes a distinct variant of the ordinary spacetime of general relativity ( called Minkowski space ) related to the cosmological constant, and how anti de Sitter space differs from de Sitter space.

The AdS / CFT ( anti de Sitter space / conformal field theory ) correspondence is an idea originally proposed by Juan Maldacena in late 1997.

The AdS / CFT correspondence is the idea that it is possible in general to describe a force in quantum mechanics ( like electromagnetism, the weak force or the strong force ) in a certain number of dimensions ( for example four ) with a string theory where the strings exist in an anti de Sitter space, with one additional dimension.

An anti de Sitter space, in contrast, is a general relativity-like spacetime, where in the absence of matter or energy, the curvature of spacetime is naturally hyperbolic.

In the common analogy of an object causing a dip in a flat cloth, anti de Sitter space has a curvature analogous to a flat cloth sitting on a saddle, with a very slight curvature because it is so large.

In an anti de Sitter space, as in a de Sitter space, the extent of inherent spacetime curvature corresponds to the magnitude of the negative cosmological constant to which it is equivalent.

The concepts of de Sitter space and anti de Sitter space describe the effects of the cosmological constant in the real world four dimensional space geometrically by projecting that space into a five dimensional superspace with the fifth dimension corresponding to the curvature in time space that is produced by gravity and gravity-like effects in general relativity such as the cosmological constant.

While anti de Sitter space does not correspond to gravity in general relativity with the observed cosmological constant, an anti de Sitter space is believed to correspond to other forces in quantum mechanics ( like electromagnetism, the weak nuclear force and the strong nuclear force ) described via string theory.

Note also that while an anti de Sitter space would describe general relativity with a negative cosmological constant in five dimensions ( four for spacetime and one for the effect of the cosmological constant ), the idea is actually more general.

One can have an anti de Sitter space ( or a de Sitter space ) in an arbitrary number of dimensions.

The generality of the concepts of de Sitter space and anti de Sitter space make them useful in theoretical physics, particularly in string theory, that often assume a world with more than four dimensions.

Naturally, as the remainder of this article explains in technical detail, the general concepts described in this non-technical explanation of anti de Sitter space have a much more rigorous and precise mathematical and physical description.

If the universal cover is not taken, ( p, q ) anti de Sitter space has O ( p, q + 1 ) as its isometry group.

These systems can also help track costs of damage to city to help allocate an anti graffiti budget.

In Nietzsche Humanist ( 1998: 129 ), Claude Pavur explains that " he Greek prefix ' anti ' does not merely designate opposition, but it can also mean ' in place of.

The HE warhead detonates on impact or when the fuse runs out ; usually the fuse is set to the maximum burn of the rocket motor but it can be shortened for improvised anti aircraft purposes.

As anti keyloggers have been designed specifically to detect keyloggers, they have the potential to be more effective than conventional anti virus software ; some anti virus software do not consider certain keyloggers a virus, as under some circumstances a keylogger can be considered a legitimate piece of software.

This is an anti – theft technology system that researchers showed can be turned to malicious purposes.

Stickers can be placed anywhere accessible, with a much lower risk of apprehension by officials enforcing anti – vandalism laws.

Much as elliptical and hyperbolic spaces can be visualized by an isometric embedding in a flat space of one higher dimension ( as the sphere and pseudosphere respectively ), anti de Sitter space can be visualized as the Lorentzian analogue of a sphere in a space of one additional dimension.

In the same way that the sphere, anti de Sitter with parity aka reflectional symmetry and time reversal symmetry can be seen as a quotient of two groups

Socialist Party on the anti G8 demonstration in Edinburgh The Socialist Party believes that socialism can only be realised on an international basis:

Aldoximes, except for aromatic aldoximes which exist only as anti isomers, and ketoximes can be separated almost completely and obtained as a syn isomer and an anti isomer.

Anarcho-pacifism became influential in the Anti-nuclear movement and anti war movements of the time as can be seen in the activism and writings of the English anarchist member of Campaign for Nuclear Disarmament Alex Comfort or the similar activism of the American catholic anarcho-pacifist Ammon Hennacy.

While BPH rarely causes sudden urinary retention, the condition can become acute in the presence of certain medications ( blood pressure pills, anti histamines, antiparkinson medications ), after spinal anaesthesia or stroke.

India will now bring the anti torture act 2010 so it can ratify the UN convention against torture.

The mixture of syn and anti stereoisomers can be separated based on difference in methanol solubility.

Official anti or pro-natalist policies can be oppressive of reproductive rights, depending on how they are structured and enforced.

However, derivatives of the OPE can often separate the expansion into holomorphic and anti holomorphic expansions.

For dealing with heavy armoured threats, two Spike-LR anti tank missiles can be installed on both sides of the turret with a maximum range of 4 km.

where C denotes a charge conjugated ( i. e. anti -) particle, and each term is the left-chirality projection ( note that a left-chirality projection, as defined above, of an antiparticle is a right-handed field ; conflicting notations in this area can unfortunately become confusing ).

Child psychopathology can cause separation anxiety from parents, attention deficit disorders in children, sleep disorders in children, aggression with both peers and adults, night terrors, extreme anxiety, anti social behavior, depression symptoms, aloof attitude, sensitive emotions, and rebellious behavior that are not in line of typical childhood development.

Since then he has returned to the live circuit and through BBC and C4 specials and series, has rebuilt a niche audience and a reputation as an anti populist, anti " after the pub " comedian.

Decoste states, " If the only arguments against same sex marriage are sectarian, then opposing the legalization of same sex marriage is invidious in a fashion no different from supporting anti miscegenation laws ".

As noted by researcher George Voicu, the anti -" Judaization " discourse of the far right was by then turning against Iorga.

Once the matter of the solar system has been mostly converted to computer substrate, forming a Matrioshka brain, according to Kurzweil, by about the beginning of the 22nd century, life will then expand outward into interstellar space in all directions, deploying miniature starships ( to save on expensive anti matter starship fuel ) that will be Von Neumann probes crewed by swarms of nanobots, to colonize the entire Milky Way Galaxy.

If ( A, σ ) is an associative algebra with an ( anti -) involution σ, then if σ ( x )= x and σ ( y )= y it follows that

An anti – armour capability would be met by a Swingfire missile system ( then under development ), mounted at the rear.

Used for defense against incoming missiles and fighters, the flak gun fires a round which appears to work in a similar manner to modern day anti aircraft artillery ; a round is fired towards then enemy, detonating and spraying shrapnel in all directions as it reaches them.