Geometric K-Homology of Flat D-Branes

Details Geometric K-Homology of Flat D-Branes Geometric K-Homology of Flat D-Branes

2005-07-05

arxiv.org/abs/hep-th/0507043v3

Commun.Math.Phys. 266 (2006) 71-122

Physics

High Energy Physics

High Energy Physics - Theory

45 pages; v2: References added; v3: Some substantial revision and corrections, main results unchanged but presentation improve

Scientific paper

10.1007/s00220-006-0010-8

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.

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