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arXiv · hep-th/0104147

Derived Categories and Zero-Brane Stability

Paul S. Aspinwall·Albion Lawrence
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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.

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Paul S. Aspinwall, Albion Lawrence. 2001-07-26. Derived Categories and Zero-Brane Stability. https://doi.org/10.1088/1126-6708%2F2001%2F08%2F004

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