2006/01/01 by Peter Bouwknegt, Jarah Evslin, Branislav Jurčo +2 · 18 citations
Physics and Astronomy · Mathematics · Chemistry · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #Duality (order theory) #Mathematics #Flux (metallurgy) #Pure mathematics #Physics #Theoretical physics #Mathematical physics #Quantum electrodynamics #Chemistry
paper · pdf · doi:10.4310/atmp.2006.v10.n3.a3
published in Advances in Theoretical and Mathematical Physics 10(3), 345-394
openalex publication_date 2006/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/22
We derive a formula for D3-brane charge on a compact spacetime, which includes torsion corrections to the tadpole cancellation condition. We use this to classify D-branes and Ramond-Ramond fluxes in type II string theory on RP 3 RP 2k+1 S 6-2k with torsion H-flux and to demonstrate the conjectured T -duality to S 3 S 2k+1 S 6-2k with no flux. When k = 1, H = 0 and so the K-theory that classifies fluxes is twisted. When k = 2, the square of the H-flux yields an S-dual Freed-Witten anomaly, which is canceled by a D3-brane insertion that ruins the dual K-theory flux classification. When k = 3, the cube of H is nontrivial and so the D3 insertion may itself be inconsistent and the compactification unphysical. Along the way we provide a physical interpretation for the Atiyah-Hirzebruch spectral sequence in terms of the boundaries of branes within branes.