Montonen–Olive duality
E566116
Montonen–Olive duality is a conjectured symmetry in certain gauge theories, especially N=4 supersymmetric Yang–Mills, that exchanges electrically charged particles with magnetic monopoles and relates strong coupling to weak coupling.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Montonen–Olive duality canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T6088250 — 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: Montonen–Olive duality Context triple: ['t Hooft–Polyakov monopoles, playRoleIn, Montonen–Olive duality]
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A.
Seiberg–Witten theory
Seiberg–Witten theory is a framework in quantum field theory and string theory that uses supersymmetry to exactly analyze strongly coupled gauge theories, leading to profound insights into dualities and four-dimensional topology.
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B.
Donaldson–Witten theory
Donaldson–Witten theory is a four-dimensional topological quantum field theory derived from twisting N=2 supersymmetric Yang–Mills theory, used to compute Donaldson invariants of smooth four-manifolds.
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C.
Yang monopole
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.
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D.
’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.
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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: Montonen–Olive duality Target entity description: Montonen–Olive duality is a conjectured symmetry in certain gauge theories, especially N=4 supersymmetric Yang–Mills, that exchanges electrically charged particles with magnetic monopoles and relates strong coupling to weak coupling.
-
A.
Seiberg–Witten theory
Seiberg–Witten theory is a framework in quantum field theory and string theory that uses supersymmetry to exactly analyze strongly coupled gauge theories, leading to profound insights into dualities and four-dimensional topology.
-
B.
Donaldson–Witten theory
Donaldson–Witten theory is a four-dimensional topological quantum field theory derived from twisting N=2 supersymmetric Yang–Mills theory, used to compute Donaldson invariants of smooth four-manifolds.
-
C.
Yang monopole
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.
-
D.
’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.
-
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 (43)
| Predicate | Object |
|---|---|
| instanceOf |
duality conjecture
ⓘ
electric–magnetic duality ⓘ symmetry in quantum field theory ⓘ |
| appliesTo |
N=4 supersymmetric Yang–Mills theory
NERFINISHED
ⓘ
non-abelian gauge theories ⓘ |
| assumes |
BPS mass formula for dyons
ⓘ
existence of magnetic monopoles as solitons ⓘ |
| concerns |
non-perturbative dynamics of gauge theories
ⓘ
spectrum of BPS states ⓘ |
| dimension | 4D spacetime ⓘ |
| field |
gauge theory
ⓘ
quantum field theory ⓘ supersymmetry ⓘ theoretical physics ⓘ |
| hasProperty |
conjectural
ⓘ
exchanges electrically charged particles with magnetic monopoles ⓘ implies spectrum invariance under electric–magnetic charge exchange ⓘ involves SL(2,Z) duality group in N=4 supersymmetric Yang–Mills ⓘ maps strong coupling regime to weak coupling regime ⓘ non-perturbative symmetry ⓘ relates BPS states of different charges ⓘ requires extended supersymmetry for exact validity ⓘ self-duality in N=4 supersymmetric Yang–Mills with gauge group SU(2) ⓘ |
| holdsExactlyIn | N=4 supersymmetric Yang–Mills in four dimensions (conjecturally) ⓘ |
| implies |
duality between gauge coupling g and 1/g
ⓘ
equivalence between elementary particles and solitons in certain theories ⓘ |
| inspiredDevelopment |
S-duality in string theory
ⓘ
dualities in supersymmetric gauge theories ⓘ |
| language | English name ⓘ |
| mathematicalStructure | SL(2,Z) action on complexified coupling constant ⓘ |
| namedAfter |
Claus Montonen
NERFINISHED
ⓘ
David Olive NERFINISHED ⓘ |
| originalContext | SU(2) gauge theory with adjoint Higgs field ⓘ |
| proposedBy |
Claus Montonen
NERFINISHED
ⓘ
David Olive NERFINISHED ⓘ |
| proposedIn | 1977 ⓘ |
| relatedTo |
Seiberg–Witten theory
NERFINISHED
ⓘ
electric–magnetic duality in Maxwell theory ⓘ |
| relatesConcept |
S-duality
NERFINISHED
ⓘ
electric charge ⓘ magnetic monopole ⓘ strong coupling ⓘ weak coupling ⓘ |
How these facts were elicited
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Instruction
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Input
Subject: Montonen–Olive duality Description of subject: Montonen–Olive duality is a conjectured symmetry in certain gauge theories, especially N=4 supersymmetric Yang–Mills, that exchanges electrically charged particles with magnetic monopoles and relates strong coupling to weak coupling.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject surface form:
't Hooft–Polyakov monopoles