SU(3)
E179969
Lie group
compact Lie group
connected Lie group
matrix Lie group
semisimple Lie group
simple Lie group
special unitary group
SU(3) is the special unitary group of degree three, a Lie group fundamental to the mathematical description of the strong interaction and the classification of hadrons in particle physics.
All labels observed (4)
| Label | Occurrences |
|---|---|
| SU(3) canonical | 5 |
| SU(3) flavor symmetry | 2 |
| SU(3) Lie algebra | 1 |
| SU(3) is used in quantum chromodynamics (QCD) | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T1580346 — 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: SU(3) Context triple: [Eightfold Way classification, usesSymmetryGroup, SU(3)]
-
A.
SU(2)_L
SU(2)_L is the non-Abelian weak isospin gauge symmetry of the Standard Model that governs left-handed weak interactions.
-
B.
SL(2,C)
SL(2,C) is the complex special linear group of 2×2 matrices with determinant 1, which serves as the double cover and spinor representation group of the proper orthochronous Lorentz group in four-dimensional spacetime.
-
C.
Gell-Mann matrices
Gell-Mann matrices are a set of eight 3×3 traceless Hermitian matrices that serve as the generators of the SU(3) Lie algebra in quantum chromodynamics and other areas of particle physics.
-
D.
Poincaré group
The Poincaré group is the fundamental symmetry group of special relativity, combining spacetime translations with Lorentz transformations in four-dimensional Minkowski space.
-
E.
Lorentz group
The Lorentz group is the mathematical group of spacetime symmetries in special relativity, consisting of all rotations and boosts that preserve the Minkowski spacetime interval.
- 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: SU(3) Target entity description: SU(3) is the special unitary group of degree three, a Lie group fundamental to the mathematical description of the strong interaction and the classification of hadrons in particle physics.
-
A.
SU(2)_L
SU(2)_L is the non-Abelian weak isospin gauge symmetry of the Standard Model that governs left-handed weak interactions.
-
B.
SL(2,C)
SL(2,C) is the complex special linear group of 2×2 matrices with determinant 1, which serves as the double cover and spinor representation group of the proper orthochronous Lorentz group in four-dimensional spacetime.
-
C.
Gell-Mann matrices
Gell-Mann matrices are a set of eight 3×3 traceless Hermitian matrices that serve as the generators of the SU(3) Lie algebra in quantum chromodynamics and other areas of particle physics.
-
D.
Poincaré group
The Poincaré group is the fundamental symmetry group of special relativity, combining spacetime translations with Lorentz transformations in four-dimensional Minkowski space.
-
E.
Lorentz group
The Lorentz group is the mathematical group of spacetime symmetries in special relativity, consisting of all rotations and boosts that preserve the Minkowski spacetime interval.
- F. None of above. chosen
Statements (50)
| Predicate | Object |
|---|---|
| instanceOf |
Lie group
ⓘ
compact Lie group ⓘ connected Lie group ⓘ matrix Lie group ⓘ semisimple Lie group ⓘ simple Lie group ⓘ special unitary group ⓘ |
| actsOn | color charge of quarks ⓘ |
| hasAdjointRepresentation | 8 ⓘ |
| hasAdjointRepresentationDimension | 8 ⓘ |
| hasCartanSubalgebraDimension | 2 ⓘ |
| hasCenterIsomorphicTo | ℤ3 ⓘ |
| hasConjugateFundamentalRepresentation | 3̄ ⓘ |
| hasDegree | 3 ⓘ |
| hasDimension | 8 ⓘ |
| hasDynkinDiagram | two nodes connected by a single edge ⓘ |
| hasFlavorSymmetryRealization | SU(3) flavor symmetry of u, d, s quarks ⓘ |
| hasFundamentalGroup | trivial group ⓘ |
| hasFundamentalRepresentation | 3 ⓘ |
| hasFundamentalRepresentationDimension | 3 ⓘ |
| hasIrreducibleRepresentation |
10
ⓘ
15 ⓘ 3 ⓘ 3̄ ⓘ 6 ⓘ 8 ⓘ |
| hasLieAlgebra | su(3) ⓘ |
| hasLieAlgebraDimension | 8 ⓘ |
| hasMaximalCompactSubgroupOf |
SL(3,ℂ)
ⓘ
linked to:
special linear group SL(n,C)
|
| hasMaximalTorusDimension | 2 ⓘ |
| hasNumberOfGenerators | 8 ⓘ |
| hasPhysicalSymmetryRole |
approximate flavor symmetry of light quarks
ⓘ
color SU(3) gauge symmetry ⓘ |
| hasRank | 2 ⓘ |
| hasRootSystemType | A2 ⓘ |
| hasStandardGenerators | Gell-Mann matrices ⓘ |
| hasType | compact real form of SL(3,ℂ) ⓘ |
| isCompact | true ⓘ |
| isDefinedAs | group of 3×3 unitary matrices with determinant 1 ⓘ |
| isGaugeGroupOf |
quantum chromodynamics
ⓘ
strong interaction ⓘ |
| isNonAbelian | true ⓘ |
| isPartOf | SU(3)×SU(2)×U(1) Standard Model gauge group ⓘ |
| isSimpleAsLieGroup | true ⓘ |
| isSimplyConnected | true ⓘ |
| isSubgroupOf |
SL(3,ℂ)
ⓘ
linked to:
special linear group SL(n,C)
U(3) ⓘ |
| isUsedIn |
Eightfold Way classification of hadrons
ⓘ
linked to:
Eightfold Way classification
classification of baryon multiplets ⓘ classification of meson multiplets ⓘ |
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: SU(3) Description of subject: SU(3) is the special unitary group of degree three, a Lie group fundamental to the mathematical description of the strong interaction and the classification of hadrons in particle physics.
Referenced by (9)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: SU(3)
linked to: SU(3)
subject linked to:
special unitary group SU(n)
linked to: SU(3)
linked to: SU(3)