A Torsion Correction to the RR 4-Form Fieldstrength

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 Pages, 1 eps figure

Scientific paper

10.1088/1126-6708/2003/11/037

The shifted quantization condition of the M-theory 4-form G_4 is well-known. The most naive generalization to type IIA string theory fails, an orientifold counterexample was found by Hori in hep-th/9805141. In this note we use D2-brane anomaly cancellation to find the corresponding shifted quantization condition in IIA. Our analysis is consistent with the known O4-plane tensions if we include a torsion correction to the usual construction of G_4 from C_3, B and G_2. The resulting Bianchi identities enforce that RR fluxes lift to K-theory classes.

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