D-Branes, RR-Fields and Duality on Noncommutative Manifolds
High Energy Physics - Theory
2008-11-26 v3 K-Theory and Homology
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 Poincare 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.
Keywords
Cite
@article{arxiv.hep-th/0607020,
title = {D-Branes, RR-Fields and Duality on Noncommutative Manifolds},
author = {Jacek Brodzki and Varghese Mathai and Jonathan Rosenberg and Richard J. Szabo},
journal= {arXiv preprint arXiv:hep-th/0607020},
year = {2008}
}
Comments
56 pages; v3: final version, to appear in CMP