D-branes, RR-fields and duality on noncommutative manifolds

Jacek Brodzki; Varghese Mathai; Jonathan Rosenberg; Richard J. Szabo

doi:10.1007/s00220-007-0396-y

D-branes, RR-fields and duality on noncommutative manifolds

Jacek Brodzki, Varghese Mathai, Jonathan Rosenberg, Richard J. Szabo

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34 Citations (Scopus)

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 K -theory and cyclic theory, which are simplified using a novel diagram calculus reminiscent of Feynman diagrams. © 2007 Springer-Verlag.

Original language	English
Pages (from-to)	643-706
Number of pages	64
Journal	Communications in Mathematical Physics
Volume	277
Issue number	3
DOIs	https://doi.org/10.1007/s00220-007-0396-y
Publication status	Published - Feb 2008

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AU - Rosenberg, Jonathan

AU - Szabo, Richard J.

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D-branes, RR-fields and duality on noncommutative manifolds

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