anti-de Sitter space
E143964
Anti-de Sitter space is a maximally symmetric spacetime with constant negative curvature that plays a central role in string theory and holography.
All labels observed (4)
| Label | Occurrences |
|---|---|
| AdS_{d+1} | 2 |
| anti-de Sitter space canonical | 2 |
| AdS space | 1 |
| anti-de Sitter spacetime | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T1250459 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: anti-de Sitter space Context triple: [AdS/CFT correspondence, appliesTo, anti-de Sitter space]
-
A.
de Sitter spacetime
de Sitter spacetime is a maximally symmetric, curved solution of general relativity that models an expanding universe dominated by a positive cosmological constant (dark energy).
-
B.
Gödel metric
The Gödel metric is a solution to Einstein's field equations that describes a rotating universe allowing for closed timelike curves and thus the theoretical possibility of time travel.
-
C.
Minkowski space-time
Minkowski space-time is a four-dimensional geometric framework that unifies three-dimensional space and time into a single continuum used to describe events and motion in special relativity.
-
D.
Reissner–Nordström metric
The Reissner–Nordström metric is an exact solution in general relativity describing the spacetime geometry outside a static, spherically symmetric, electrically charged black hole.
-
E.
Kerr metric
The Kerr metric is the exact general relativity solution describing the spacetime geometry around a rotating, uncharged black hole.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: anti-de Sitter space Target entity description: Anti-de Sitter space is a maximally symmetric spacetime with constant negative curvature that plays a central role in string theory and holography.
-
A.
de Sitter spacetime
de Sitter spacetime is a maximally symmetric, curved solution of general relativity that models an expanding universe dominated by a positive cosmological constant (dark energy).
-
B.
Gödel metric
The Gödel metric is a solution to Einstein's field equations that describes a rotating universe allowing for closed timelike curves and thus the theoretical possibility of time travel.
-
C.
Minkowski space-time
Minkowski space-time is a four-dimensional geometric framework that unifies three-dimensional space and time into a single continuum used to describe events and motion in special relativity.
-
D.
Reissner–Nordström metric
The Reissner–Nordström metric is an exact solution in general relativity describing the spacetime geometry outside a static, spherically symmetric, electrically charged black hole.
-
E.
Kerr metric
The Kerr metric is the exact general relativity solution describing the spacetime geometry around a rotating, uncharged black hole.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
Lorentzian manifold
ⓘ
maximally symmetric spacetime ⓘ spacetime ⓘ |
| admitsCoordinateSystem |
Poincaré coordinates
ⓘ
global coordinates ⓘ static coordinates ⓘ |
| hasBoundary | conformal boundary ⓘ |
| hasBoundaryConditionType |
absorbing boundary conditions
ⓘ
reflecting boundary conditions ⓘ |
| hasCausalStructure | periodic global time before taking universal cover ⓘ |
| hasConformalBoundaryTopology | R × S^{d-2} ⓘ |
| hasConformalBoundaryType | timelike boundary ⓘ |
| hasConstantScalarCurvature | true ⓘ |
| hasCosmologicalConstantSign | negative ⓘ |
| hasCurvature | constant negative curvature ⓘ |
| hasCurvatureRadius | AdS radius L ⓘ |
| hasCurvatureType | constant negative sectional curvature ⓘ |
| hasDimension | d ⓘ |
| hasIsometryGroup |
AdS isometry group SO(2,d)
ⓘ
surface form:
O(2,d-1)
SO(2,d-1) ⓘ |
| hasKillingVectorsNumber | d(d+1)/2 ⓘ |
| hasMetricSignature | (-,+,+,...) ⓘ |
| hasNameOrigin | named after Willem de Sitter with opposite sign cosmological constant ⓘ |
| hasRicciScalar | R = -d(d-1)/L^2 ⓘ |
| hasSectionalCurvatureSign | negative ⓘ |
| hasSymmetry | maximal symmetry ⓘ |
| hasSymmetryGroupType | non-compact Lie group ⓘ |
| hasTopology | S^1 × R^{d-1} ⓘ |
| hasUniversalCoverTopology | R^d ⓘ |
| isAnalogueOf | de Sitter space with opposite sign cosmological constant ⓘ |
| isBackgroundFor |
string theory compactifications
ⓘ
supergravity theories ⓘ |
| isCentralConceptIn | AdS/CFT correspondence ⓘ |
| isDualTo | conformal field theory on its boundary ⓘ |
| isEmbeddingSpace | hyperboloid in R^{2,d-1} ⓘ |
| isGeodesically | incomplete without boundary conditions ⓘ |
| isHomogeneous | true ⓘ |
| isImportantFor |
black hole physics in AdS
ⓘ
AdS/CFT correspondence ⓘ
surface form:
gauge/gravity duality
study of strongly coupled quantum field theories ⓘ |
| isIsotropic | true ⓘ |
| isSolutionOf |
Einstein field equations
ⓘ
surface form:
Einstein field equations with negative cosmological constant
|
| isUsedIn |
AdS/CFT correspondence
ⓘ
holography ⓘ string theory ⓘ |
| isUsedToModel | confining gauge theories via holography ⓘ |
| isVacuumSolutionOf | Einstein equations with Λ < 0 ⓘ |
| requires | boundary conditions at infinity for well-posed dynamics ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: anti-de Sitter space Description of subject: Anti-de Sitter space is a maximally symmetric spacetime with constant negative curvature that plays a central role in string theory and holography.
Referenced by (6)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject surface form:
Penrose–Carter diagram
this entity surface form:
anti-de Sitter spacetime
this entity surface form:
AdS_{d+1}
this entity surface form:
AdS_{d+1}
this entity surface form:
AdS space