B-branes and the Derived Category
classification
✦ hep-th
keywords
abstractb-branesb-modelbranesbundlescanonicalcategorycompared
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By a direct CFT computation, the spectrum of the topological B-model is compared to Ext groups of sheaves. A match can only be made if abstract vector bundles on holomorphic submanifolds are twisted by the canonical $\mathrm{Spin}^c$ structure of its support in describing physical branes.
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