|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'928
Articles rated: 2609
25 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
On the topology of T-duality | | Ulrich Bunke Thomas Schick
; | | Date: |
7 May 2004 | | Subject: | Geometric Topology; K-Theory and Homology; Mathematical Physics | math.GT math-ph math.KT math.MP | | Affiliation: | Goettingen) Thomas Schick (Goettingen | | Abstract: | In string theory, the concept of T-duality between two principal U(1)-bundles E_1 and E_2 over the same base space B, together with cohomology classes $h_1in H^3(E_1)$ and $h_2in H^3(E_2)$, has been introduced. One of the main virtues of T-duality is that $h_1$-twisted K-theory of $E_1$ is isomorphic to $h_2$-twisted K-theory of $E_2$. In this paper, a new, very topological concept of T-duality is introduced. The study pairs (E,h) as above from a topological point of view and construct a classifying space of such pairs. Using this, we construct a universal dual pair to a given pair. Our construction immediately gives a number of known and new properties of the dual. In particular it implies existence of a dual of any pair (E,h), and it also describes the ambiguity upto which the dual is well defined. In order to deal with twisted K-theory, some care is needed, in particular when dealing with naturality questions, because the twisted K-theory depends on the explicit model for the twists and the twisted theory --care which is missing in some of the existing literature. We illustrate the use of T-duality by some explicit calculations of twisted K-groups. | | Source: | arXiv, math.GT/0405132 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER