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https://hdl.handle.net/2440/40234
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Type: | Journal article |
Title: | D-Branes, RR-Fields and Duality on Noncommutative Manifolds |
Author: | Brodzki, J. Varghese, M. Rosenberg, J. Szabo, R. |
Citation: | Communications in Mathematical Physics, 2008; 277(3):643-706 |
Publisher: | Springer |
Issue Date: | 2008 |
ISSN: | 0010-3616 1432-0916 |
Statement of Responsibility: | Jacek Brodzki, Varghese Mathai, Jonathan Rosenberg and Richard J. Szabo |
Abstract: | We develop some of the ingredients needed for string theory on noncommutative spacetimes, proposing an axiomatic formulation of T-duality as well as establishing a very general formula for D-brane charges. This formula is closely related to a noncommutative Grothendieck-Riemann-Roch theorem that is proved here. Our approach relies on a very general form of Poincaré duality, which is studied here in detail. Among the technical tools employed are calculations with iterated products in bivariant -theory and cyclic theory, which are simplified using a novel diagram calculus reminiscent of Feynman diagrams. |
Description: | The original publication is available at www.springerlink.com |
DOI: | 10.1007/s00220-007-0396-y |
Published version: | http://www.springerlink.com/content/r312820625815453/ |
Appears in Collections: | Aurora harvest 6 Pure Mathematics publications |
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