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.
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 ⓘ |
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject surface form:
't Hooft–Polyakov monopoles