D-brane stability, geometric engineering, and monodromy in the Derived Category
| dc.creator | Karp, Robert L. | |
| dc.date | 2005-12-29 | |
| dc.date.accessioned | 2026-07-07T06:54:35Z | |
| dc.date.available | 2026-07-07T06:54:35Z | |
| dc.description | We discuss aspects of topological B-type D-branes in the framework of the derived category of coherent sheaves on a Calabi-Yau 3-fold X. We analyze the link between massless D-branes and monodromies in the CFT moduli space. A classification of all massless D-branes at any point in the moduli space is conjectured, together with an associated monodromy. We test the conjectures in two independent ways. First we establish a composition formula for certain Fourier-Mukai functors, which is a consequence of the triangulated structure of D(X). Secondly, using pi-stability we rederive the stable soliton spectrum of the pure N=2 supersymmetric SU(2) Seiberg-Witten theory. In this approach, the simplicity of the spectrum rests on Grothendieck's theorem concerning vector bundles over P^1. | |
| dc.description | Talk given at QTS3, 9 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/0512343 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0512343 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/105986 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | D-brane stability, geometric engineering, and monodromy in the Derived Category | |
| dc.type | text |