2006/07/06 by Jarah Evslin, Hisham Sati
Mathematics · Physics and Astronomy · #Anomaly (physics) #Black Holes and Theoretical Physics #Brane #Brane cosmology #Charge (physics) #Compactification (mathematics) #Cosmology and Gravitation Theories #Invertible matrix #Manifold (fluid mechanics) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #String theory #Submanifold #Theoretical physics #hep-th
paper · pdf · doi:10.1088/1126-6708/2006/10/050
published as JHEP0610:050,2006 · 11 pages, no figures
arxiv created 2006/07/06 · openalex publication_date 2006/10/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Sometimes a homology cycle of a nonsingular compactification manifold cannot be represented by a nonsingular submanifold. We want to know whether such nonrepresentable cycles can be wrapped by D-branes. A brane wrapping a representable cycle carries a K-theory charge if and only if its Freed-Witten anomaly vanishes. However some K-theory charges are only carried by branes that wrap nonrepresentable cycles. We provide two examples of Freed-Witten anomaly-free D6-branes wrapping nonrepresentable cycles in the presence of a trivial NS 3-form flux. The first occurs in type IIA string theory compactified on the Sp(2) group manifold and the second in IIA on a product of lens spaces. We find that the first D6-brane carries a K-theory charge while the second does not.