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 |
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 ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.