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arXiv · hep-th/0510073

From F/M-theory to K-theory and back

Inaki Garcia-Etxebarria·Angel M. Uranga
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Abstract

We consider discrete K-theory tadpole cancellation conditions in type IIB orientifolds with magnetised 7-branes. Cancellation of K-theory charge constrains the choices of world-volume magnetic fluxes on the latter. We describe the F-/M-theory lift of these configurations, where 7-branes are encoded in the geometry of an elliptic fibration, and their magnetic quanta correspond to supergravity 4-form field strength fluxes. In a K3 compactification example, we show that standard quantization of 4-form fluxes as integer cohomology classes in K3 automatically implies the K-theory charge cancellation constraints on the 7-brane worldvolume magnetic fluxes in string theory (as well as new previously unnoticed discrete constraints, which we also interpret). Finally, we show that flux quantization in F-/M-theory implies that 7-brane world-volume flux quantization conditions are modified in the presence of 3-form fluxes.

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Inaki Garcia-Etxebarria, Angel M. Uranga. 2005-10-14. From F/M-theory to K-theory and back. https://doi.org/10.1088/1126-6708%2F2006%2F02%2F008

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