SU(2)_L
E12518
SU(2)_L is the non-Abelian weak isospin gauge symmetry of the Standard Model that governs left-handed weak interactions.
All labels observed (2)
| Label | Occurrences |
|---|---|
| SU(2)_L gauge group | 3 |
| SU(2)_L canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T95316 — 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(2)_L Context triple: [W boson, isGaugeBosonOf, SU(2)_L]
-
A.
W boson
The W boson is a massive elementary particle that mediates the weak nuclear force and is responsible for processes like beta decay in the Standard Model of particle physics.
-
B.
Z boson
The Z boson is a neutral elementary particle that mediates the weak nuclear force and plays a central role in the electroweak theory of particle physics.
-
C.
Standard Model
The Standard Model is the fundamental theory in particle physics that describes the known elementary particles and their interactions (except gravity) through quantum field theories of electromagnetic, weak, and strong forces.
-
D.
Higgs boson
The Higgs boson is an elementary particle in the Standard Model whose associated field gives mass to other fundamental particles, confirming a key mechanism of particle physics.
-
E.
LU
LU is the two-letter ISO 3166-1 alpha-2 country code assigned to Luxembourg for international identification and data standards.
- 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(2)_L Target entity description: SU(2)_L is the non-Abelian weak isospin gauge symmetry of the Standard Model that governs left-handed weak interactions.
-
A.
W boson
The W boson is a massive elementary particle that mediates the weak nuclear force and is responsible for processes like beta decay in the Standard Model of particle physics.
-
B.
Z boson
The Z boson is a neutral elementary particle that mediates the weak nuclear force and plays a central role in the electroweak theory of particle physics.
-
C.
Standard Model
The Standard Model is the fundamental theory in particle physics that describes the known elementary particles and their interactions (except gravity) through quantum field theories of electromagnetic, weak, and strong forces.
-
D.
Higgs boson
The Higgs boson is an elementary particle in the Standard Model whose associated field gives mass to other fundamental particles, confirming a key mechanism of particle physics.
-
E.
LU
LU is the two-letter ISO 3166-1 alpha-2 country code assigned to Luxembourg for international identification and data standards.
- F. None of above. chosen
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
Lie group
ⓘ
gauge symmetry ⓘ non-Abelian gauge group ⓘ weak isospin symmetry ⓘ |
| actsOn |
left-handed fermions
ⓘ
left-handed lepton doublets ⓘ left-handed quark doublets ⓘ |
| algebra | su(2) ⓘ |
| appearsIn |
Standard Model Lagrangian
ⓘ
linked to:
Standard Model
|
| associatedGaugeBosons |
W^1
ⓘ
W^2 ⓘ W^3 ⓘ |
| associatedQuantumNumber | weak isospin ⓘ |
| breaksAtEnergyScale | electroweak scale (~246 GeV) ⓘ |
| chirality | left-handed ⓘ |
| commutationRelations | [T^a, T^b] = i ε^{abc} T^c ⓘ |
| covariantDerivativeContribution | - i g T^a W^a_μ ⓘ |
| dimension | 3 ⓘ |
| doesNotActOn |
right-handed charged leptons
ⓘ
right-handed down-type quarks ⓘ right-handed fermions (in the minimal Standard Model) ⓘ right-handed up-type quarks ⓘ |
| fundamentalRepresentation | weak isospin doublet ⓘ |
| fundamentalRepresentationDimension | 2 ⓘ |
| gaugeBosonsAfterSymmetryBreaking |
W^+
ⓘ
W^- ⓘ Z boson (in combination with U(1)_Y) ⓘ
linked to:
Z boson
|
| gaugeCoupling | g ⓘ |
| gaugeFields | W^a_μ (a = 1,2,3) ⓘ |
| gaugeGroupFactorOf |
SU(3)_C × SU(2)_L × U(1)_Y
ⓘ
linked to:
Standard Model
|
| gaugeGroupOf | weak interaction ⓘ |
| generators | three ⓘ |
| globalVersion | isospin SU(2) (in nuclear physics, distinct but related) ⓘ |
| interactionType |
part of weak neutral current (via mixing)
ⓘ
weak charged current ⓘ |
| isNonAbelian | true ⓘ |
| localSymmetry | yes ⓘ |
| mediates | flavor-changing weak processes ⓘ |
| partOf | electroweak sector of the Standard Model ⓘ |
| preserves | CPT symmetry ⓘ |
| rank | 1 ⓘ |
| relatedMixingAngle | Weinberg angle θ_W ⓘ |
| relatedToElectricChargeBy | Q = T_3 + Y/2 ⓘ |
| spontaneouslyBrokenBy | Higgs field vacuum expectation value ⓘ |
| structureConstants | Levi-Civita symbol ε^{abc} ⓘ |
| thirdComponentGenerator | T_3 ⓘ |
| unbrokenSubgroupAfterEWSB | U(1)_em ⓘ |
| violates |
charge conjugation symmetry
ⓘ
parity symmetry ⓘ |
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(2)_L Description of subject: SU(2)_L is the non-Abelian weak isospin gauge symmetry of the Standard Model that governs left-handed weak interactions.
Referenced by (5)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: SU(2)_L
linked to: SU(2)_L