D-branes, categories and N=1 supersymmetry
D-branes, categories and N=1 supersymmetry
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D-膜、类别和 N=1 超对称性
DOI：
10.1063/1.1374448
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发表时间：
2000
影响因子：
1.3
通讯作者：
Michael R Douglas
中科院分区：
文献类型：
--
作者：
Michael R Douglas
证明了Calabi-Yau(CY)流形上的拓扑开弦理论中的边界条件是相干层派生范畴中的对象，正如Kontsevich的同调镜像对称性提议所预见的那样。结合共形场理论的考虑，得到了确定CY模空间中任一点的超对称保膜的精确判据，从而完善了II-稳定性的建议。
We show that boundary conditions in topological open string theory on Calabi–Yau (CY) manifolds are objects in the derived category of coherent sheaves, as foreseen in the homological mirror symmetry proposal of Kontsevich. Together with conformal field theory considerations, this leads to a precise criterion determining the supersymmetry preserving branes at any point in CY moduli space, completing the proposal of II-stability.