Noncommutative correspondences, duality and D-branes in bivariant K-theory
High Energy Physics - Theory
2009-07-07 v1 K-Theory and Homology
Abstract
We describe a categorical framework for the classification of D-branes on noncommutative spaces using techniques from bivariant K-theory of C*-algebras. We present a new description of bivariant K-theory in terms of noncommutative correspondences which is nicely adapted to the study of T-duality in open string theory. We systematically use the diagram calculus for bivariant K-theory as detailed in our previous paper. We explicitly work out our theory for a number of examples of noncommutative manifolds.
Keywords
Cite
@article{arxiv.0708.2648,
title = {Noncommutative correspondences, duality and D-branes in bivariant K-theory},
author = {Jacek Brodzki and Varghese Mathai and Jonathan Rosenberg and Richard J. Szabo},
journal= {arXiv preprint arXiv:0708.2648},
year = {2009}
}
Comments
36 pages