T-duality

T-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. [http://www.superstringtheory.com/experm/exper5a1.html superstringtheory] article "Looking for extra dimensions" by [http://www.superstringtheory.com/author.html 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:m^2 = frac{4N}{alpha'} + frac{n^2}{R^2} + frac{w^2R^2}{alpha^{prime 2is invariant under the exchange R leftrightarrow alpha'/R,quadnleftrightarrow w, 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.

ources and notes

See also

*S-duality
*U-duality
*Mirror symmetry
*Dualities in string theory


Wikimedia Foundation. 2010.

Игры ⚽ Нужно решить контрольную?

Look at other dictionaries:

  • Duality — may refer to: Contents 1 Mathematics 2 Philosophy, logic, and psychology 3 Science 3.1 Electrical and mechanical …   Wikipedia

  • Duality principle — or principle of duality may refer to: Duality (projective geometry) Duality (order theory) Duality principle (Boolean algebra) Duality principle for sets Duality principle (optimization theory) Lagrange duality Duality principle in functional… …   Wikipedia

  • Duality (film) — Duality Directed by Mark Thomas Dave Macomber Starring Dave Macomber Mark Thomas Stephen Muraoka …   Wikipedia

  • Duality (Ra album) — Duality Studio album by Ra Released June 21, 2005 (U.S.) Recorded …   Wikipedia

  • Duality of structure — is one of Anthony Giddens coined phrases and main propositions in his explanation of structuration theory. The basis of the duality lies in the relationship the Agency has with the Structure. In the duality, the Agency has much more influence on… …   Wikipedia

  • Duality (сингл группы Slipknot) — Duality Сингл Vol. 3: The Subliminal Verses» Выпущен 4 мая, 2004 Формат CD Записан 2004 Жанр хард кор Длительн …   Википедия

  • Duality — совместный альбом Лизы Джеррард и Питера Бурка. Duality сингл группы Slipknot. Duality торговая марка корпорации Sony …   Википедия

  • Duality — Du al i*ty, n. [L. dualitas: cf. F. dualit[ e].] The quality or condition of being two or twofold; dual character or usage. [1913 Webster] …   The Collaborative International Dictionary of English

  • Duality — est le titre du premier single tiré de l album Vol. 3: (The Subliminal Verses), du groupe Slipknot. Portail de la musique Catégorie : Single musical sorti en 2003 …   Wikipédia en Français

  • duality — index duplicity Burton s Legal Thesaurus. William C. Burton. 2006 …   Law dictionary

  • duality — late 14c., from O.Fr. dualité (14c.), from L.L. dualitas, from L. dualis (see DUAL (Cf. dual)) …   Etymology dictionary

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”