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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.

##### MSC:
 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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