Can D-Branes Wrap Nonrepresentable Cycles?

Details Can D-Branes Wrap Nonrepresentable Cycles? Can D-Branes Wrap Nonrepresentable Cycles?

2006-07-06

arxiv.org/abs/hep-th/0607045v1

JHEP0610:050,2006

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, no figures

Scientific paper

10.1088/1126-6708/2006/10/050

Sometimes a homology cycle of a nonsingular compactification manifold cannot be represented by a nonsingular submanifold. We want to know whether such nonrepresentable cycles can be wrapped by D-branes. A brane wrapping a representable cycle carries a K-theory charge if and only if its Freed-Witten anomaly vanishes. However some K-theory charges are only carried by branes that wrap nonrepresentable cycles. We provide two examples of Freed-Witten anomaly-free D6-branes wrapping nonrepresentable cycles in the presence of a trivial NS 3-form flux. The first occurs in type IIA string theory compactified on the Sp(2) group manifold and the second in IIA on a product of lens spaces. We find that the first D6-brane carries a K-theory charge while the second does not.

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