1999/12/30 by Gregory Moore, Gregory W. Moore, Edward Witten · 4 citations
Mathematics · Physics and Astronomy · #Anomaly (physics) #Black Holes and Theoretical Physics #Brane #Cohomology #Cosmology and Gravitation Theories #Curvature #Duality (order theory) #Fermion #Geometry #M-theory #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantization (signal processing) #Quantum electrodynamics #Quantum mechanics #Supergravity #Superstring theory #Supersymmetry #Theoretical physics #Type (biology) #hep-th
paper · pdf · doi:10.1088/1126-6708/2000/05/032
published as JHEP 0005:032,2000 · 35 pp
arxiv created 1999/12/30 · openalex publication_date 2000/05/17 · arxiv updated 2010/04/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.