العربية
中国
Français
Deutsch
Ελληνική
हिन्दी
Italiano
日本語
Português
Русский
EspañolT-DUALITY
'T-duality' is a symmetry between small and large distances that is not present in Kaluza-Klein compactification of a particle theory. It relates different string theories that everyone thought were completely unrelated before T-duality was understood. T-duality preceded the Second Superstring Revolution. superstringtheory article ''Looking for extra dimensions'' by Patricia Schwarz
T-duality is a symmetry of string theory, relating type IIA and type IIB string theory, and the two heterotic string theories. T-duality transformations act on spaces in which at least one direction has the topology of a circle. Under the transformation, the radius R of that direction will be changed to 1/R, and "wrapped" string states will be exchanged with high-momentum string states in the dual theory.
For example, one might begin with a IIA string wrapped once around the direction in question. Under T-duality, it will be mapped to a IIB string which has momentum in that direction. A IIA string with a winding number of two (wrapped twice) will be mapped to a IIB string with two units of momentum, and so on.
The total squared mass of a closed string
:
is invariant under the exchange , and the interactions and all other physical phenomena can be proved invariant under this operation, too. T-duality acting on D-branes changes their dimension by +1 or -1.
Andrew Strominger, Shing-Tung Yau, and Eric Zaslow have showed that mirror symmetry can be understood as T-duality applied to three-dimensional toroidal fibres of the Calabi-Yau space.
★ S-duality
★ U-duality
★ Mirror symmetry
★ Dualities in string theory
T-duality is a symmetry of string theory, relating type IIA and type IIB string theory, and the two heterotic string theories. T-duality transformations act on spaces in which at least one direction has the topology of a circle. Under the transformation, the radius R of that direction will be changed to 1/R, and "wrapped" string states will be exchanged with high-momentum string states in the dual theory.
For example, one might begin with a IIA string wrapped once around the direction in question. Under T-duality, it will be mapped to a IIB string which has momentum in that direction. A IIA string with a winding number of two (wrapped twice) will be mapped to a IIB string with two units of momentum, and so on.
The total squared mass of a closed string
:
is invariant under the exchange , and the interactions and all other physical phenomena can be proved invariant under this operation, too. T-duality acting on D-branes changes their dimension by +1 or -1.
Andrew Strominger, Shing-Tung Yau, and Eric Zaslow have showed that mirror symmetry can be understood as T-duality applied to three-dimensional toroidal fibres of the Calabi-Yau space.
| Contents |
| Sources and notes |
| See also |
Sources and notes
See also
★ S-duality
★ U-duality
★ Mirror symmetry
★ Dualities in string theory
This article provided by Wikipedia. To edit the contents of this article, click here for original source.
psst.. try this: add to faves
