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Anti-de Sitter space

Index Anti-de Sitter space

In mathematics and physics, n-dimensional anti-de Sitter space (AdSn) is a maximally symmetric Lorentzian manifold with constant negative scalar curvature. [1]

56 relations: ADS, AdS black hole, AdS/CFT correspondence, AdS/QCD correspondence, Algebraic holography, Alternatives to general relativity, Background independence, Boltzmann brain, BTZ black hole, Cardy formula, Cauchy surface, Conformal field theory, De Sitter (disambiguation), De Sitter space, De Sitter–Schwarzschild metric, Entropic gravity, Erik Verlinde, Erlangen program, Exotic star, Extra dimensions, False vacuum, Freund–Rubin compactification, Gauged supergravity, General relativity, Gerard 't Hooft, Glossary of string theory, Holographic principle, Homogeneous space, Hyperbolic geometry, Index of physics articles (A), Juan Martín Maldacena, Kerr/CFT correspondence, Lambdavacuum solution, Light front holography, List of Dutch inventions and discoveries, List of mathematical topics in relativity, M-theory, Metric tensor (general relativity), Monstrous moonshine, MTZ black hole, Pervez Hoodbhoy, Positive energy theorem, Propagator, Quasi-sphere, Randall–Sundrum model, Singleton field, String theory, Supergravity, Symmetric space, Vasiliev equations, ..., Wess–Zumino–Witten model, White hole, Whitehead's theory of gravitation, Willem de Sitter, Wormhole, (2+1)-dimensional topological gravity. Expand index (6 more) »

ADS

ADS or Ads may refer to.

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AdS black hole

In theoretical physics, an anti-de Sitter (AdS) black hole is a black hole solution of general relativity or its extensions which represents an isolated massive object, but with a negative cosmological constant.

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AdS/CFT correspondence

In theoretical physics, the anti-de Sitter/conformal field theory correspondence, sometimes called Maldacena duality or gauge/gravity duality, is a conjectured relationship between two kinds of physical theories.

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AdS/QCD correspondence

In theoretical physics, the anti-de Sitter/quantum chromodynamics correspondence is a program to describe quantum chromodynamics (QCD) in terms of a dual gravitational theory, following the principles of the AdS/CFT correspondence in a setup where the quantum field theory is not a conformal field theory.

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Algebraic holography

Algebraic holography, also sometimes called Rehren duality, is an attempt to understand the holographic principle of quantum gravity within the framework of algebraic quantum field theory, due to Karl-Henning Rehren.

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Alternatives to general relativity

Alternatives to general relativity are physical theories that attempt to describe the phenomenon of gravitation in competition to Einstein's theory of general relativity.

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Background independence

Background independence is a condition in theoretical physics, that requires the defining equations of a theory to be independent of the actual shape of the spacetime and the value of various fields within the spacetime.

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Boltzmann brain

In physics thought experiments, a Boltzmann brain is a self-aware entity that arises due to extremely rare random fluctuations out of a state of thermodynamic equilibrium.

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BTZ black hole

The BTZ black hole, named after Máximo Bañados, Claudio Teitelboim, and Jorge Zanelli, is a black hole solution for (2+1)-dimensional topological gravity with a negative cosmological constant.

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Cardy formula

In physics, the Cardy formula gives the entropy of a two-dimensional conformal field theory (CFT).

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Cauchy surface

Intuitively, a Cauchy surface is a plane in space-time which is like an instant of time; its significance is that giving the initial conditions on this plane determines the future (and the past) uniquely.

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Conformal field theory

A conformal field theory (CFT) is a quantum field theory that is invariant under conformal transformations.

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De Sitter (disambiguation)

Willem de Sitter (1872–1934) was a Dutch mathematician, physicist and astronomer.

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De Sitter space

In mathematics and physics, a de Sitter space is the analog in Minkowski space, or spacetime, of a sphere in ordinary Euclidean space.

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De Sitter–Schwarzschild metric

In general relativity, the de Sitter–Schwarzschild solution describes a black hole in a causal patch of de Sitter space.

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Entropic gravity

Entropic gravity, also known as emergent gravity, is a theory in modern physics that describes gravity as an entropic force—a force with macro-scale homogeneity but which is subject to quantum-level disorder—and not a fundamental interaction.

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Erik Verlinde

Erik Peter Verlinde (born 21 January 1962) is a Dutch theoretical physicist and string theorist.

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Erlangen program

The Erlangen program is a method of characterizing geometries based on group theory and projective geometry.

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Exotic star

An exotic star is a hypothetical compact star composed of something other than electrons, protons, neutrons, or muons, and balanced against gravitational collapse by degeneracy pressure or other quantum properties.

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Extra dimensions

In physics, extra dimensions are proposed additional space or time dimensions beyond the (3 + 1) typical of observed spacetime, such as the first attempts based on the Kaluza–Klein theory.

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False vacuum

In quantum field theory, a false vacuum is a hypothetical vacuum that is somewhat, but not entirely, stable.

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Freund–Rubin compactification

Freund–Rubin compactification is a form of dimensional reduction in which a field theory in d-dimensional spacetime, containing gravity and some field whose field strength F is a rank s antisymmetric tensor, 'prefers' to be reduced down to a spacetime with a dimension of either s or d-s.

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Gauged supergravity

Gauged supergravity is a supergravity theory in which some R-symmetry is gauged such that the gravitinos (superpartners of the graviton) are charged with respect to the gauge fields.

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General relativity

General relativity (GR, also known as the general theory of relativity or GTR) is the geometric theory of gravitation published by Albert Einstein in 1915 and the current description of gravitation in modern physics.

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Gerard 't Hooft

Gerardus (Gerard) 't Hooft (born July 5, 1946) is a Dutch theoretical physicist and professor at Utrecht University, the Netherlands.

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Glossary of string theory

This page is a glossary of terms in string theory, including related areas such as supergravity, supersymmetry, and high energy physics.

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Holographic principle

The holographic principle is a principle of string theories and a supposed property of quantum gravity that states that the description of a volume of space can be thought of as encoded on a lower-dimensional boundary to the region—preferably a light-like boundary like a gravitational horizon.

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Homogeneous space

In mathematics, particularly in the theories of Lie groups, algebraic groups and topological groups, a homogeneous space for a group G is a non-empty manifold or topological space X on which G acts transitively.

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Hyperbolic geometry

In mathematics, hyperbolic geometry (also called Bolyai–Lobachevskian geometry or Lobachevskian geometry) is a non-Euclidean geometry.

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Index of physics articles (A)

The index of physics articles is split into multiple pages due to its size.

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Juan Martín Maldacena

Juan Martín Maldacena (September 10, 1968 in Buenos Aires, Argentina) is a theoretical physicist.

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Kerr/CFT correspondence

The Kerr/CFT correspondence is an extension of the AdS/CFT correspondence or gauge-gravity duality to rotating black holes (which are described by the Kerr metric).

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Lambdavacuum solution

In general relativity, a lambdavacuum solution is an exact solution to the Einstein field equation in which the only term in the stress–energy tensor is a cosmological constant term.

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Light front holography

In strong interaction physics, light front holography or light front holographic QCD is an approximate version of the theory of quantum chromodynamics (QCD) which results from mapping the gauge theory of QCD to a higher-dimensional anti-de Sitter space (AdS) inspired by the AdS/CFT correspondence (gauge/gravity duality) proposed for string theory.

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List of Dutch inventions and discoveries

The Netherlands had a considerable part in the making of modern society.

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List of mathematical topics in relativity

This is a list of mathematical topics in relativity, by Wikipedia page.

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M-theory

M-theory is a theory in physics that unifies all consistent versions of superstring theory.

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Metric tensor (general relativity)

In general relativity, the metric tensor (in this context often abbreviated to simply the metric) is the fundamental object of study.

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Monstrous moonshine

In mathematics, monstrous moonshine, or moonshine theory, is the unexpected connection between the monster group M and modular functions, in particular, the ''j'' function.

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MTZ black hole

The MTZ black hole, named after Cristian Martinez, Ricardo Troncoso and Jorge Zanelli, is a black hole solution for (3+1)-dimensional gravity with a minimally coupled self-interacting scalar field.

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Pervez Hoodbhoy

Pervez Amirali Hoodbhoy (Urdu:; born 11 July 1950) is a Pakistani nuclear physicist and activist who serves as at the Forman Christian College and previously taught physics at the Quaid-e-Azam University.

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Positive energy theorem

In general relativity, the positive energy theorem (more commonly known as the positive mass conjecture) states that, assuming the dominant energy condition, the mass of an asymptotically flat spacetime is non-negative; furthermore, the mass is zero only for Minkowski spacetime.

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Propagator

In quantum mechanics and quantum field theory, the propagator is a function that specifies the probability amplitude for a particle to travel from one place to another in a given time, or to travel with a certain energy and momentum.

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Quasi-sphere

In mathematics and theoretical physics, a quasi-sphere is a generalization of the hypersphere and the hyperplane to the context of a pseudo-Euclidean space.

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Randall–Sundrum model

In physics, Randall–Sundrum models (also called 5-dimensional warped geometry theory) are models that describe the world in terms of a warped geometry higher-dimensional universe, or more concretely as a 5-dimensional anti-de Sitter space where the elementary particles (except the graviton) are localized on a (3 + 1)-dimensional brane or branes.

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Singleton field

The Singleton field is the field of singletons which are the most fundamental unitary and irreducible representation of the Anti-de Sitter group SO(3,2).

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String theory

In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called strings.

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Supergravity

In theoretical physics, supergravity (supergravity theory; SUGRA for short) is a modern field theory that combines the principles of supersymmetry and general relativity where supersymmetry obeys locality; in contrast to non-gravitational supersymmetric theories such as the Minimal Supersymmetric Standard Model.

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Symmetric space

In differential geometry, representation theory and harmonic analysis, a symmetric space is a pseudo-Riemannian manifold whose group of symmetries contains an inversion symmetry about every point.

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Vasiliev equations

Vasiliev equations are formally consistent gauge invariant nonlinear equations whose linearization over a specific vacuum solution describes free massless higher-spin fields on anti-de Sitter space.

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Wess–Zumino–Witten model

In theoretical physics and mathematics, a Wess–Zumino–Witten (WZW) model, also called a Wess–Zumino–Novikov–Witten model, is a type of two-dimensional conformal field theory named after Julius Wess, Bruno Zumino, Sergei Novikov and Edward Witten.

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White hole

In general relativity, a white hole is a hypothetical region of spacetime which cannot be entered from the outside, although matter and light can escape from it.

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Whitehead's theory of gravitation

In theoretical physics, Whitehead's theory of gravitation was introduced by the mathematician and philosopher Alfred North Whitehead in 1922.

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Willem de Sitter

Willem de Sitter (6 May 1872 – 20 November 1934) was a Dutch mathematician, physicist, and astronomer.

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Wormhole

A wormhole is a concept that represents a solution of the Einstein field equations: a non-trivial resolution of the Ehrenfest paradox structure linking separate points in spacetime.

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(2+1)-dimensional topological gravity

In two spatial and one time dimensions, general relativity turns out to have no propagating gravitational degrees of freedom.

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Redirects here:

AdS, AdS metric, AdS space, AdS3, Anti de Sitter space, Anti de sitter, Anti de sitter space, Anti-de Sitter spacetime.

References

[1] https://en.wikipedia.org/wiki/Anti-de_Sitter_space

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