D6-branes and torsion
Abstract
The D6-brane spectrum of type IIA vacua based on twisted tori and RR background fluxes is analyzed. In particular, we compute the torsion factors of the (co)homology groups H_n and describe the effect that they have on D6-brane physics. For instance, the fact that H_3 contains Z_N subgroups explains why RR tadpole conditions are affected by geometric fluxes. In addition, the presence of torsional (co)homology shows why some D6-brane moduli are lifted, and it suggests how the D-brane discretum appears in type IIA flux compactifications. Finally, we give a clear, geometrical understanding of the Freed-Witten anomaly in the present type IIA setup, and discuss its consequences for the construction of semi-realistic flux vacua.
Keywords
Cite
@article{arxiv.hep-th/0603210,
title = {D6-branes and torsion},
author = {Fernando Marchesano},
journal= {arXiv preprint arXiv:hep-th/0603210},
year = {2009}
}
Comments
35 pages, 1 figure. One reference added