Geometric K-Homology of Flat D-Branes
Abstract
We use the Baum-Douglas construction of K-homology to explicitly describe various aspects of D-branes in Type II superstring theory in the absence of background supergravity form fields. We rigorously derive various stability criteria for states of D-branes and show how standard bound state constructions are naturally realized directly in terms of topological K-cycles. We formulate the mechanism of flux stabilization in terms of the K-homology of non-trivial fibre bundles. Along the way we derive a number of new mathematical results in topological K-homology of independent interest.
Keywords
Cite
@article{arxiv.hep-th/0507043,
title = {Geometric K-Homology of Flat D-Branes},
author = {Rui M. G. Reis and Richard J. Szabo},
journal= {arXiv preprint arXiv:hep-th/0507043},
year = {2009}
}
Comments
45 pages; v2: References added; v3: Some substantial revision and corrections, main results unchanged but presentation improved, references added; to be published in Communications in Mathematical Physics