D-Branes, Derived Categories, and Grothendieck Groups
| dc.creator | Sharpe, Eric R. | |
| dc.date | 1999-02-16 | |
| dc.date.accessioned | 2026-07-07T10:54:01Z | |
| dc.date.available | 2026-07-07T10:54:01Z | |
| dc.description | In this paper we describe how Grothendieck groups of coherent sheaves and locally free sheaves can be used to describe type II D-branes, in the case that all D-branes are wrapped on complex varieties and all connections are holomorphic. Our proposal is in the same spirit as recent discussions of K-theory and D-branes; within the restricted class mentioned, Grothendieck groups encode a choice of connection on each D-brane worldvolume, in addition to information about the smooth bundles. We also point out that derived categories can also be used to give insight into D-brane constructions, and analyze how a Z_2 subset of the T-duality group acting on D-branes on tori can be understood in terms of a Fourier-Mukai transformation. | |
| dc.description | LaTeX, 21 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/9902116 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9902116 | |
| dc.identifier | Nucl.Phys.B561:433-450,1999 | |
| dc.identifier | doi:10.1016/S0550-3213(99)00535-0 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/185680 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | D-Branes, Derived Categories, and Grothendieck Groups | |
| dc.type | text |