Derived Categories and Zero-Brane Stability

Technical Report · Wed Jul 25 00:00:00 EDT 2001

DOI:https://doi.org/10.2172/784971· OSTI ID:784971

Lawrence, Albion ^[1]

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1. SLAC

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.

• Research Organization: Stanford Linear Accelerator Center, Menlo Park, CA (US)
• Sponsoring Organization: USDOE Office of Energy Research (ER) (US)
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 784971
• Report Number(s): SLAC-PUB-8812
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CALCULATION METHODS
FIELD THEORIES
STABILITY
STRING MODELS