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Derived Categories and Zero-Brane Stability | | Paul S. Aspinwall
; Albion Lawrence
; | | Date: |
17 Apr 2001 | | Journal: | JHEP 0108 (2001) 004 | | Subject: | High Energy Physics - Theory; Algebraic Geometry | hep-th math.AG | | 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. | | Source: | arXiv, hep-th/0104147 | | Services: | Forum | Review | PDF | Favorites | |
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