Poincaré coordinates
E590884
Poincaré coordinates are a commonly used coordinate system on anti-de Sitter space that makes its conformal boundary manifestly Minkowskian and is especially convenient in AdS/CFT calculations.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Poincaré coordinates canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T6396978 — 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: Poincaré coordinates Context triple: [anti-de Sitter space, admitsCoordinateSystem, Poincaré coordinates]
-
A.
Schwarzschild coordinates
Schwarzschild coordinates are a spherical coordinate system used in general relativity to describe the spacetime geometry outside a spherically symmetric, non-rotating mass, such as a static black hole.
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B.
Eddington–Finkelstein coordinates
Eddington–Finkelstein coordinates are a coordinate system in general relativity that smoothly covers a black hole’s event horizon, avoiding the coordinate singularity present in standard Schwarzschild coordinates.
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C.
Painlevé–Gullstrand coordinates
Painlevé–Gullstrand coordinates are a coordinate system for the Schwarzschild black hole that is regular at the event horizon and represents spacetime as seen by freely falling observers.
-
D.
Boyer–Lindquist coordinates
Boyer–Lindquist coordinates are a spheroidal coordinate system commonly used in general relativity to express the Kerr solution describing the spacetime around a rotating black hole.
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E.
Kerr–Schild coordinates
Kerr–Schild coordinates are a coordinate system used to express the Kerr spacetime metric in a form that highlights its structure as a perturbation of flat Minkowski space along a principal null direction.
- 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: Poincaré coordinates Target entity description: Poincaré coordinates are a commonly used coordinate system on anti-de Sitter space that makes its conformal boundary manifestly Minkowskian and is especially convenient in AdS/CFT calculations.
-
A.
Schwarzschild coordinates
Schwarzschild coordinates are a spherical coordinate system used in general relativity to describe the spacetime geometry outside a spherically symmetric, non-rotating mass, such as a static black hole.
-
B.
Eddington–Finkelstein coordinates
Eddington–Finkelstein coordinates are a coordinate system in general relativity that smoothly covers a black hole’s event horizon, avoiding the coordinate singularity present in standard Schwarzschild coordinates.
-
C.
Painlevé–Gullstrand coordinates
Painlevé–Gullstrand coordinates are a coordinate system for the Schwarzschild black hole that is regular at the event horizon and represents spacetime as seen by freely falling observers.
-
D.
Boyer–Lindquist coordinates
Boyer–Lindquist coordinates are a spheroidal coordinate system commonly used in general relativity to express the Kerr solution describing the spacetime around a rotating black hole.
-
E.
Kerr–Schild coordinates
Kerr–Schild coordinates are a coordinate system used to express the Kerr spacetime metric in a form that highlights its structure as a perturbation of flat Minkowski space along a principal null direction.
- F. None of above. chosen
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
coordinate system
ⓘ
mathematical concept ⓘ |
| appearsIn |
quantum gravity in AdS space
ⓘ
string theory on AdS backgrounds ⓘ supergravity solutions on AdS ⓘ |
| associatedWith |
Poincaré group on the boundary
ⓘ
conformal boundary of AdS ⓘ |
| boundaryDimension | d ⓘ |
| boundaryLocatedAt | z = 0 ⓘ |
| boundaryMetric | eta_{ mu u} dx^{ mu} dx^{ u} ⓘ |
| boundarySignature | Minkowski NERFINISHED ⓘ |
| bulkRegion | z > 0 ⓘ |
| coordinateRange |
t
in
(-
i
nfty,
+
i
nfty)
ⓘ
x^i in (- i nfty, + i nfty) ⓘ z > 0 ⓘ |
| dimensionConvention | bulk dimension d+1 ⓘ |
| hasBoundaryCoordinates | x^{ mu} ⓘ |
| hasParameter | AdS radius L ⓘ |
| hasProperty |
adapted to AdS/CFT correspondence
ⓘ
conformally flat boundary metric ⓘ covers only a patch of global AdS ⓘ makes conformal boundary manifestly Minkowskian ⓘ often called Poincaré patch coordinates ⓘ |
| hasRadialCoordinate | z ⓘ |
| hasSpatialCoordinates | vec{x} ⓘ |
| hasTimeCoordinate | t ⓘ |
| induces | flat Minkowski metric on the boundary up to a conformal factor ⓘ |
| metricDependsOn | AdS radius L ⓘ |
| metricForm | ds^2 = (L^2/z^2)(dz^2 + eta_{ mu u} dx^{ mu} dx^{ u}) ⓘ |
| namedAfter | Henri Poincaré NERFINISHED ⓘ |
| relatedTo |
Fefferman–Graham coordinates
NERFINISHED
ⓘ
global AdS coordinates ⓘ |
| simplifies |
Fourier transforms along boundary directions
ⓘ
asymptotic analysis near AdS boundary ⓘ identification of boundary field theory ⓘ |
| usedFor |
constructing AdS black brane solutions
ⓘ
finite-temperature AdS/CFT setups ⓘ holographic RG flows ⓘ holographic hydrodynamics ⓘ studying conformal field theories on Minkowski space ⓘ |
| usedIn |
AdS/CFT calculations
ⓘ
Witten diagrams NERFINISHED ⓘ bulk-to-boundary propagators ⓘ gauge/gravity duality NERFINISHED ⓘ holographic correlation functions ⓘ holographic entanglement entropy ⓘ holographic renormalization ⓘ |
| usedOn |
AdS_{d+1}
ⓘ
anti-de Sitter space NERFINISHED ⓘ |
How these facts were elicited
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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: Poincaré coordinates Description of subject: Poincaré coordinates are a commonly used coordinate system on anti-de Sitter space that makes its conformal boundary manifestly Minkowskian and is especially convenient in AdS/CFT calculations.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.