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.
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
duality symmetry
ⓘ
string theory concept ⓘ symmetry in theoretical physics ⓘ |
| actsOn |
D-branes
NERFINISHED
ⓘ
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
NERFINISHED
ⓘ
non-abelian T-duality NERFINISHED ⓘ |
| 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
NERFINISHED
ⓘ
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 NERFINISHED ⓘ |
| 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 NERFINISHED ⓘ type IIB string theory NERFINISHED ⓘ |
| requires | isometry direction for standard Buscher procedure ⓘ |
| transforms |
Kalb–Ramond B-field
NERFINISHED
ⓘ
dilaton field ⓘ metric on compact space ⓘ |
| wasDevelopedInContextOf | bosonic string theory ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.