T-duality
E751298
T-duality is a fundamental symmetry in string theory that relates physically equivalent descriptions of strings propagating on compact spaces of different radii, often exchanging winding and momentum modes.
All labels observed (3)
| Label | Occurrences |
|---|---|
| T-duality canonical | 1 |
| fermionic T-duality | 1 |
| non-abelian T-duality | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T8684859 — 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: T-duality Context triple: [M-theory, involves, T-duality]
-
A.
M-theory
M-theory is a proposed unifying framework in theoretical physics that generalizes string theories into an eleven-dimensional model aiming to reconcile quantum mechanics with gravity.
-
B.
Strominger–Yau–Zaslow conjecture
The Strominger–Yau–Zaslow conjecture is a proposal in mirror symmetry stating that mirror pairs of Calabi–Yau manifolds can be understood as dual special Lagrangian torus fibrations, providing a geometric explanation of mirror symmetry.
-
C.
E8×E8 heterotic string theory
E8×E8 heterotic string theory is a ten-dimensional string theory whose gauge symmetry is based on the product of two exceptional Lie groups E8, making it a leading candidate for unifying gravity with the forces and particles of the Standard Model.
-
D.
Montonen–Olive duality
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.
-
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: T-duality Target entity description: T-duality is a fundamental symmetry in string theory that relates physically equivalent descriptions of strings propagating on compact spaces of different radii, often exchanging winding and momentum modes.
-
A.
M-theory
M-theory is a proposed unifying framework in theoretical physics that generalizes string theories into an eleven-dimensional model aiming to reconcile quantum mechanics with gravity.
-
B.
Strominger–Yau–Zaslow conjecture
The Strominger–Yau–Zaslow conjecture is a proposal in mirror symmetry stating that mirror pairs of Calabi–Yau manifolds can be understood as dual special Lagrangian torus fibrations, providing a geometric explanation of mirror symmetry.
-
C.
E8×E8 heterotic string theory
E8×E8 heterotic string theory is a ten-dimensional string theory whose gauge symmetry is based on the product of two exceptional Lie groups E8, making it a leading candidate for unifying gravity with the forces and particles of the Standard Model.
-
D.
Montonen–Olive duality
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.
-
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 (48)
| Predicate | Object |
|---|---|
| instanceOf |
duality symmetry
ⓘ
string theory concept ⓘ symmetry in theoretical physics ⓘ |
| actsOn |
D-branes
ⓘ
closed strings ⓘ compact dimensions ⓘ open strings ⓘ |
| changes | chirality of spacetime supersymmetry in 10 dimensions ⓘ |
| constrains | string compactification moduli space ⓘ |
| exchanges |
momentum modes
ⓘ
winding modes ⓘ |
| extendsTo | superstring theories ⓘ |
| field | string theory ⓘ |
| generalizesTo | mirror symmetry in certain contexts ⓘ |
| hasVariant |
fermionic T-duality
ⓘ
linked to:
T-duality
non-abelian T-duality ⓘ
linked to:
T-duality
|
| implementedBy | Buscher transformations of background fields ⓘ |
| implies |
equivalence of small and large compactification radii
ⓘ
minimal length scale of order string length ⓘ |
| involvesParameter | string length squared α′ ⓘ |
| isExactSymmetryAt | perturbative string level ⓘ |
| isRealizedAs | O(d,d;ℤ) transformation on toroidal compactifications ⓘ |
| isRelatedTo |
Buscher rules
ⓘ
double field theory ⓘ non-geometric T-folds ⓘ |
| isSymmetryOf |
nonlinear sigma model
ⓘ
string worldsheet theory ⓘ |
| isUsedIn |
classification of string vacua
ⓘ
construction of dual string backgrounds ⓘ study of non-geometric flux backgrounds ⓘ |
| maps |
Dp-branes to D(p±1)-branes
ⓘ
type IIA on a circle to type IIB on a circle ⓘ type IIB on a circle to type IIA on a circle ⓘ |
| mapsDirichletBoundaryConditionsTo | Neumann boundary conditions ⓘ |
| mapsNeumannBoundaryConditionsTo | Dirichlet boundary conditions ⓘ |
| mapsRadiusRTo | radius α′/R ⓘ |
| motivates | introduction of dual coordinates in double field theory ⓘ |
| preserves |
conformal field theory structure
ⓘ
string spectrum ⓘ |
| relates |
compactifications with different radii
ⓘ
physically equivalent string backgrounds ⓘ type IIA string theory ⓘ
linked to:
Type IIA string theory
type IIB string theory ⓘ |
| requires | isometry direction for standard Buscher procedure ⓘ |
| transforms |
Kalb–Ramond B-field
ⓘ
linked to:
Kalb–Ramond two-form field
dilaton field ⓘ metric on compact space ⓘ |
| wasDevelopedInContextOf | bosonic string theory ⓘ |
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: T-duality Description of subject: T-duality is a fundamental symmetry in string theory that relates physically equivalent descriptions of strings propagating on compact spaces of different radii, often exchanging winding and momentum modes.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: T-duality
linked to: T-duality