D-branes, KK-theory and duality on noncommutative spaces
High Energy Physics - Theory
2008-11-26 v2 K-Theory and Homology
Abstract
We present a new categorical classification framework for D-brane charges on noncommutative manifolds using methods of bivariant K-theory. We describe several applications including an explicit formula for D-brane charge in cyclic homology, a refinement of open string T-duality, and a general criterion for cancellation of global worldsheet anomalies.
Keywords
Cite
@article{arxiv.0709.2128,
title = {D-branes, KK-theory and duality on noncommutative spaces},
author = {J. Brodzki and V. Mathai and J. Rosenberg and R. J. Szabo},
journal= {arXiv preprint arXiv:0709.2128},
year = {2008}
}
Comments
13 pages; v2: typos corrected; Based on invited talks given by R.J.S. at the International Conferences ``Noncommutative Spacetime Geometries'', March 26-31, 2007, Alessandria, Italy, and ``Noncommutative Geometry and Physics'', April 23-27, 2007, Orsay, France. To be published in Journal of Physics Conference Series