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Self-Duality, Ramond-Ramond Fields, and K-Theory
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Self-Duality, Ramond-Ramond Fields, and K-Theory
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Just as D-brane charge of Type IIA and Type IIB superstrings is classified, respectively, by K^1(X) and K(X), Ramond-Ramond fields in these theories are classified, respectively, by K(X) and K^1(X). By analyzing a recent proposal for how to interpret quantum self-duality of RR fields, we show that the Dirac quantization formula for the RR p-forms, when properly formulated, receives corrections that reflect curvature, lower brane charges, and an anomaly of D-brane world-volume fermions. The K-theory framework is important here, because the term involving the fermion anomaly cannot be naturally expressed in terms of cohomology and differential forms.
Forward citations
Cited by 2 Pith papers
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Flux Quantization of Type IIA in Unstable K-Theory
Deformation of unstable K-theory quantizes D0/D2/NS5 and NS1/D4 brane fluxes in Type IIA and oxidizes to M-brane quantization.
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Branes
A review of branes in string theory covering their multiple descriptions and interaction phenomena.
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