D6-branes and torsion

Details D6-branes and torsion D6-branes and torsion

2006-03-28

arxiv.org/abs/hep-th/0603210v3

JHEP0605:019,2006

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, 1 figure. One reference added

Scientific paper

10.1088/1126-6708/2006/05/019

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.

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