Yang monopole
E265148
The Yang monopole is a theoretical higher-dimensional generalization of the magnetic monopole introduced by physicist C. N. Yang in the context of non-Abelian gauge theories and fiber bundles.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Yang monopole canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T2422937 — 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: Yang monopole Context triple: [C. N. Yang, knownFor, Yang monopole]
-
A.
’t Hooft–Polyakov monopoles
’t Hooft–Polyakov monopoles are theoretical, finite-energy magnetic monopole solutions arising in certain non-abelian gauge theories with spontaneous symmetry breaking.
-
B.
Dirac magnetic monopoles
Dirac magnetic monopoles are hypothetical elementary particles proposed by Paul Dirac that carry isolated magnetic charge, whose existence would explain the quantization of electric charge and profoundly impact fundamental physics.
-
C.
Calabi–Yau manifold
A Calabi–Yau manifold is a special type of complex manifold with vanishing first Chern class that plays a central role in string theory compactifications and complex algebraic geometry.
-
D.
Chern–Simons theory
Chern–Simons theory is a topological quantum field theory in three dimensions that plays a central role in modern geometry, topology, and theoretical physics, particularly in the study of knot invariants and gauge fields.
-
E.
Green–Schwarz mechanism
The Green–Schwarz mechanism is a key anomaly-cancellation process in string theory that ensures the mathematical consistency of certain superstring models by eliminating gauge and gravitational anomalies.
- 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: Yang monopole Target entity description: The Yang monopole is a theoretical higher-dimensional generalization of the magnetic monopole introduced by physicist C. N. Yang in the context of non-Abelian gauge theories and fiber bundles.
-
A.
’t Hooft–Polyakov monopoles
’t Hooft–Polyakov monopoles are theoretical, finite-energy magnetic monopole solutions arising in certain non-abelian gauge theories with spontaneous symmetry breaking.
-
B.
Dirac magnetic monopoles
Dirac magnetic monopoles are hypothetical elementary particles proposed by Paul Dirac that carry isolated magnetic charge, whose existence would explain the quantization of electric charge and profoundly impact fundamental physics.
-
C.
Calabi–Yau manifold
A Calabi–Yau manifold is a special type of complex manifold with vanishing first Chern class that plays a central role in string theory compactifications and complex algebraic geometry.
-
D.
Chern–Simons theory
Chern–Simons theory is a topological quantum field theory in three dimensions that plays a central role in modern geometry, topology, and theoretical physics, particularly in the study of knot invariants and gauge fields.
-
E.
Green–Schwarz mechanism
The Green–Schwarz mechanism is a key anomaly-cancellation process in string theory that ensures the mathematical consistency of certain superstring models by eliminating gauge and gravitational anomalies.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
generalization of magnetic monopole
ⓘ
object in gauge theory ⓘ theoretical construct ⓘ topological defect ⓘ |
| analogOf | Dirac monopole in parameter space ⓘ |
| appearsIn | higher-dimensional Berry-curvature models ⓘ |
| baseSpace | 4-sphere S^4 ⓘ |
| category |
monopole configuration
ⓘ
topological soliton ⓘ |
| chargeQuantization | topologically quantized ⓘ |
| connectionType | SU(2) gauge connection ⓘ |
| describedIn | non-Abelian gauge theory ⓘ |
| dimensionOfConfigurationSpace | 4 ⓘ |
| field |
differential geometry
ⓘ
gauge theory ⓘ mathematical physics ⓘ theoretical physics ⓘ topology ⓘ |
| gaugeGroup |
rotation group SU(2)
ⓘ
surface form:
SU(2)
|
| generalizes |
Dirac magnetic monopoles
ⓘ
surface form:
Dirac monopole
|
| hasMathematicalStructure | nontrivial principal SU(2)-bundle over S^4 ⓘ |
| hasProperty |
characterized by nontrivial topology of gauge bundle
ⓘ
higher-dimensional ⓘ no experimental observation in fundamental particles as of 2024 ⓘ non-Abelian ⓘ |
| introducedBy |
C. N. Yang
ⓘ
surface form:
Chen-Ning Yang
|
| isSolutionOf |
Yang–Mills theory
ⓘ
surface form:
Yang–Mills equations
|
| livesIn |
five-dimensional space-time model
ⓘ
four-dimensional parameter space ⓘ |
| namedAfter |
C. N. Yang
ⓘ
surface form:
Chen-Ning Yang
|
| relatedTo |
BPST instanton
ⓘ
Berry phase ⓘ geometric phase ⓘ higher-dimensional quantum Hall effect ⓘ instanton ⓘ magnetic monopole ⓘ non-Abelian Berry connection ⓘ topological insulator models ⓘ |
| studiedIn |
cold atom systems
ⓘ
synthetic gauge field experiments ⓘ |
| topologicalCharge | second Chern number ⓘ |
| usesConcept |
Chern number
ⓘ
curvature two-form ⓘ fiber bundle ⓘ gauge connection ⓘ principal fiber bundle ⓘ second Chern class ⓘ |
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: Yang monopole Description of subject: The Yang monopole is a theoretical higher-dimensional generalization of the magnetic monopole introduced by physicist C. N. Yang in the context of non-Abelian gauge theories and fiber bundles.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.