Self-duality, Ramond-Ramond fields and K-theory

Gregory Moore, Edward Witten

Research output: Contribution to journalArticlepeer-review

124 Scopus citations


Just as D-brane charge of type-IIA and type-IIB superstrings is classified, respectively, by K1 (X) and K(X), Ramond-Ramond fields in these theories are classified, respectively, by K(X) and K1 (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.

Original languageEnglish (US)
Pages (from-to)1-31
Number of pages31
JournalJournal of High Energy Physics
Issue number5 PART B
StatePublished - 2000
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • D-branes
  • String Duality
  • Superstrings and Heterotic Strings


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