English

D-Branes and Spin^c Structures

High Energy Physics - Theory 2009-10-31 v1

Abstract

It was recently pointed out by E. Witten that for a D-brane to consistently wrap a submanifold of some manifold, the normal bundle must admit a Spin^c structure. We examine this constraint in the case of type II string compactifications with vanishing cosmological constant, and argue that in all such cases, the normal bundle to a supersymmetric cycle is automatically Spin^c.

Keywords

Cite

@article{arxiv.hep-th/9812084,
  title  = {D-Branes and Spin^c Structures},
  author = {Robert L. Bryant and Eric R. Sharpe},
  journal= {arXiv preprint arXiv:hep-th/9812084},
  year   = {2009}
}

Comments

9 pages, LaTeX