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D6-branes and torsion

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arxiv hep-th/0603210 v3 pith:HSRBHH4R submitted 2006-03-28 hep-th

D6-branes and torsion

classification hep-th
keywords d6-branetypefluxfluxeshomologytorsionvacuaaddition
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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