Derived Categories and Zero-Brane Stability

Preprint

26 July 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/0104147

Abstract

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 Kahler moduli space. As a byproduct of this analysis we see how the derived category can be invariant under a birational transformation between Calabi-Yaus.

Keywords

TOPOLOGICAL FIELD
DERIVED CATEGORY
BRANE STABILITY
OPEN STRINGS
MODULI SPACE
CALABI YAUS
ZERO BRANE
BRANES
YAUS

All Related Versions

Version 1, 2001-04-17, ArXiv
Version 2, 2001-04-25, ArXiv
Version 3, 2001-07-26, ArXiv
Published version: Journal of High Energy Physics, 2001 (08), 004.

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