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On Ramond-Ramond fields and \(K\)-theory. (English) Zbl 0990.81624
Summary: A recent paper by Moore and Witten explained that Ramond-Ramond fields in Type II superstring theory have a global meaning in K-theory. In this note we amplify and generalize some points raised in that paper. In particular, we express the coupling of the Ramond-Ramond fields to D-branes in a K-theoretic framework and show that the anomaly in this coupling exactly cancels the anomaly from the fermions on the brane, both in Type IIA and Type IIB.

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
19-XX \(K\)-theory
81T50 Anomalies in quantum field theory
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