Twisted Homology
高能物理 - 理论
2010-10-27 v2
摘要
D-branes are classified by twisted K-theory. Yet twisted K-theory is often hard to calculate. We argue that, in the case of a compactification on a simply-connected six manifold, twisted K-theory is isomorphic to a much simpler object, twisted homology. Unlike K-theory, homology can be twisted by a class of any degree and so it classifies not only D-branes but also M-branes. Twisted homology classes correspond to cycles in a certain bundle over spacetime, and branes may decay via Kachru-Pearson-Verlinde transitions only if this cycle is trivial. We provide a spectral sequence which calculates twisted homology, the kth step treats D(p-2k)-branes ending on Dp-branes.
引用
@article{arxiv.hep-th/0611218,
title = {Twisted Homology},
author = {Andres Collinucci and Jarah Evslin},
journal= {arXiv preprint arXiv:hep-th/0611218},
year = {2010}
}
备注
29 pages, 3 eps figures, added Report-no