Help


[permalink] [id link]
+
Page "Anti de Sitter space" ¶ 8
from Wikipedia
Edit
Promote Demote Fragment Fix

Some Related Sentences

AdS and /
The scattering of gravitons in string theory can also be computed from the correlation functions in conformal field theory, as dictated by the AdS / CFT correspondence, or from Matrix theory.
The most rigorous realization of the holographic principle is the AdS / CFT correspondence by Juan Maldacena.
* AdS / CFT correspondence
Modern variants include the AdS / CFT approach.
In this sense, string perturbation theory exhibits exactly the features one would expect of a perturbation theory that may exhibit a strong dependence on asymptotics ( as seen, for example, in the AdS / CFT correspondence ) which is a weak form of background dependence.
In 1997, Juan Maldacena formulated a result establishing a relationship between gauge theories and a theory of gravity commonly known as AdS / CFT correspondence.
However, according to the conjectured gauge-gravity duality ( also known as the AdS / CFT correspondence ), black holes in certain cases ( and perhaps in general ) are equivalent to solutions of quantum field theory at a non-zero temperature.
* AdS / CFT correspondence, ( anti de Sitter / conformal field theory correspondence ), sometimes called the Maldacena duality
Hawking's semi-classical argument is reproduced in a quantum mechanical AdS / CFT treatment, where a black hole in anti-de Sitter space is described by a thermal gas in a gauge theory, whose time reversal is the same as itself.
* AdS / CFT correspondence
It is best known for its role in the AdS / CFT correspondence.
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.
The AdS / CFT correspondence is notable because it is not obvious that quantum field theories can be represented geometrically.
This is called the AdS / CFT correspondence.
AdS / CFT correspondence: Einstein metrics and their conformal boundaries, 205 -- 216, IRMA Lect.
Though not yet fully understood in general, the holographic principle is central to theories like the AdS / CFT correspondence.
Higher-dimensional conformal field theories are prominent in the AdS / CFT correspondence, in which a gravitational theory in anti de Sitter space ( AdS ) is equivalent to a conformal field theory on the AdS boundary.
* AdS / CFT correspondence
Among his many discoveries, the most famous one is the most reliable realization of the holographic principle-namely the AdS / CFT correspondence, the conjecture about the equivalence of string theory on Anti de Sitter ( AdS ) space, and a conformal field theory defined on the boundary of the AdS space.

AdS and CFT
: For the relation of the AdS / CFT correspondence to the general context of string theory, see String theory.

AdS and anti
In physics, the AdS / CFT correspondence ( anti de Sitter / conformal field theory correspondence ), sometimes called the Maldacena duality, is the conjectured equivalence between a string theory and gravity defined on one space, and a quantum field theory without gravity defined on the conformal boundary of this space, whose dimension is lower by one or more.
The name suggests that the first space is the product of anti de Sitter space ( AdS ) with some closed manifold like sphere, orbifold, or noncommutative space, and that the quantum field theory is a conformal field theory ( CFT ).

AdS and Sitter
Another approach is the AdS / CFT duality, which is believed to provide a full, non-perturbative definition of string theory in spacetimes with anti-de Sitter asymptotics.

AdS and space
In AdS space time is periodic, and the universal cover has non-periodic time.
The green shaded region in the interior corresponds to the region of AdS covered by the half-space coordinates and it is bounded by two null, aka lightlike, geodesic hyperplanes ; the green shaded area on the surface corresponds to the region of conformal space covered by Minkowski space.
The green shaded region covers half of the AdS space and half of the conformal spacetime ; the left ends of the green discs will touch in the same fashion as the right ends.
An example is the duality between Type IIB string theory on AdS < sub > 5 </ sub > × S < sup > 5 </ sup > space ( a product of 5-dimensional AdS space with a 5-dimensional sphere ) and a N = 4 super Yang-Mills gauge theory ( which is a conformal field theory ) on the 4-dimensional boundary of AdS < sub > 5 </ sub >.

AdS and conformal
Because the conformal infinity of AdS is timelike, specifying the initial data on a spacelike hypersurface would not determine the future evolution uniquely ( i. e. deterministically ) unless there are boundary conditions associated with the conformal infinity.
Since the stress-energy operator has a conformal weight of 4, the AdS metric ought to go as ω < sup >- 2
His argument assumes the unitarity of the AdS / CFT correspondence which implies that an AdS black hole that is dual to a thermal conformal field theory.

AdS and field
this will be dual to an AdS theory with a bulk field J with the boundary condition
Quantum field theory models have shown that it is possible for theories in two different spacetime backgrounds, like AdS / CFT or T-duality, to be equivalent.

AdS and theory
Notable examples are d = 4 N = 4 super-Yang-Mills theory, which is dual to Type IIB string theory on AdS < sub > 5 </ sub > x S < sup > 5 </ sup >, and d = 3 N = 6 super-Chern-Simons theory, which is dual to M-theory on AdS < sub > 4 </ sub > x S < sup > 7 </ sup >.

AdS and originally
The AdS / CFT correspondence was originally proposed by Juan Maldacena in late 1997.

AdS and by
However, the original papers of H. Năstase and the New Scientist article cited by the BBC state that the correspondence of the hot dense QCD matter created in RHIC to a black hole is only in the sense of a correspondence of QCD scattering in Minkowski space and scattering in the AdS < sub > 5 </ sub > × X < sub > 5 </ sub > space in AdS / CFT ; in other words, it is similar mathematically.
Therefore, RHIC collisions might be described by mathematics relevant to theories of quantum gravity within AdS / CFT, but the described physical phenomena are not the same.

AdS and Juan
One of his well-known work in AdS / CFT were the duality between strings on pp-wave spacetime and BMN operators in supersymmetric Yang-Mills theory, together with David Berenstein and Juan Maldacena in 2002.

AdS and Maldacena
This is at least in superficial contradiction to the more well known Maldacena duality, the AdS / CFT correspondence.

AdS and 1997
Since the 1997 proposal of the AdS / CFT correspondence, the predominant belief among physicists is that information is preserved and that Hawking radiation is not precisely thermal but receives quantum corrections.
Developments in AdS / CFT correspondence after 1997 suggest that the microphysical degrees of freedom in induced gravity might be radically different.

/ and anti
* 1972 – Bloody Sunday: British Paratroopers kill fourteen unarmed civil rights / anti internment marchers in Northern Ireland.
syn / anti peri / clinal
Regardless of whether it was exaggerated anti-Portuguese / anti -" Colonial " propaganda, a dominant tendency in Mozambique, or a mix of both, these movements claimed that since policies and development plans were primarily designed by the ruling authorities for the benefit of the Mozambican ethnic Portuguese population, little attention was paid to local tribal integration and the development of its native communities.
* Chantix / Champix ( Varenicline ) for Nicotinic agonists, and anti nicotine drugs.
Antiseptics ( from Greek ἀντί: anti, '" against " + σηπτικός: sēptikos, " putrefactive ") are antimicrobial substances that are applied to living tissue / skin to reduce the possibility of infection, sepsis, or putrefaction.
** http :// www. ac-versailles. fr / pedagogi / anti / demosth / demo2t2. htm
* Special: Prefixindex / Anti ( an automatically generated list of pages beginning with anti )
is a single word-form consisting of six morphemes ( namely, anti -/ анти -, prav / прав ~ govern, personal verbal noun affix-itel /- тель, noun affix-stv /- ств, adjectival affix-en /- ен, number and gender affix-nyi /- ный ), with 6: 1 morpheme-word ratio.
A Sherman Firefly and several Cromwell tanks, supported by a 6 pounder anti-tank gun and infantrymen from 1 / 7th QRR armed with PIAT anti tank weapons, laid in wait for German tanks to move down the town's main street.
In October 1945, an anti -" swapraja " ( anti-feudalism / anti-monarchy ) movement was established in Surakarta.
The syn / anti convention is commonly used to denote the relative stereochemistry at the α-and β-carbon.
A number of specific antibodies found in the blood ( antinuclear antibody ( ANA ), anti-Smooth Muscle Antibody ( SMA ), liver / kidney microsomal antibody ( LKM-1, LKM-2, LKM-3 ), anti soluble liver antigen ( SLA / LP ) and anti-mitochondrial antibody ( AMA )) are of use, as is finding an increased Immunoglobulin G level.

0.267 seconds.