Derived categories and zero-brane stability

Published

Journal Article

© 2018 Elsevier B.V., All rights reserved. We define a particular class of topological field theories associated to open strings and prove the resulting D-branes and open strings form the bounded derived category of coherent sheaves. This derivation is a variant of some ideas proposed recently by Douglas. We then argue that any 0-brane on any Calabi-Yau threefold must become unstable along some path in the Kähler moduli space. As a byproduct of this analysis we see how the derived category can be invariant under a birational transformation between Calabi-Yaus.

Full Text

Duke Authors

Cited Authors

  • Aspinwall, PS; Lawrence, A

Published Date

  • January 1, 2001

Published In

Volume / Issue

  • 5 / 8

Start / End Page

  • 1 - 26

International Standard Serial Number (ISSN)

  • 1029-8479

Digital Object Identifier (DOI)

  • 10.1088/1126-6708/2001/08/004

Citation Source

  • Scopus