Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1896628 | Journal of Geometry and Physics | 2011 | 22 Pages |
Abstract
We consider the two main classification methods of D-brane charges via K-theory, in type II superstring theory with vanishing BB-field: the Gysin map approach and the one based on the Atiyah–Hirzebruch spectral sequence. Then, we find out an explicit link between these two approaches: the Gysin map provides a representative element of the equivalence class obtained via the spectral sequence. We also briefly discuss the case of rational coefficients, characterized by a complete equivalence between the two classification methods.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Fabio Ferrari Ruffino, Raffaele Savelli,