Derived Categories and Zero-Brane Stability

Details Derived Categories and Zero-Brane Stability Derived Categories and Zero-Brane Stability

2001-04-17

arxiv.org/abs/hep-th/0104147v3

JHEP 0108:004,2001

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, no figures, LaTeX2e. (v2) Added references, fixed typos, small changes, esp. in discussions of D0-brane stability. (

Scientific paper

10.1088/1126-6708/2001/08/004

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.

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