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arXiv 0808.0168hep-th
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从下降到拓扑D-膜

Topological D-branes from Descent

Aaron Bergman

摘要:

Witten将开拓扑B-模型耦合到全纯向量丛上,通过在世界单的边界上添加一个威尔逊圈来表示丛上的可积联络。在这种情况下,使用边界顶点算子的下降过程,我推广了这种结构,写一个世界表耦合的分次向量丛的可积超连接。然后计算两个边界之间的开弦顶点算子。布洛克的一个定理给出了这等价于将B模型耦合到导出范畴中的任意对象。

英文摘要:

Witten couples the open topological B-model to a holomorphic vector bundle by adding to the boundary of the worldsheet a Wilson loop for an integrable connection on the bundle. Using the descent procedure for boundary vertex operators in this context, I generalize this construction to write a worldsheet coupling for a graded vector bundle with an integrable superconnection. I then compute the open string vertex operators between two such boundaries. A theorem of J. Block gives that this is equivalent to coupling the B-model to an arbitrary object in the derived category.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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