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arXiv 0709.2045hep-th
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拓扑弦论中的D-膜

D-Branes in Topological String Theory

Johanna Knapp

摘要:

本论文主要研究拓扑弦论中的D-膜,重点研究拓扑Landau-Ginzburg模型中B-型D-膜的描述。这样的D-膜的特征在于朗道-金兹伯格超势的矩阵分解。在回顾了拓扑弦论的某些方面之后,我们详细讨论了矩阵分解。讨论了在极小模型中计算有效超势的方法,重点讨论了通过矩阵分解的变形来计算有效超势的算法。此外,我们进行了非平凡的检查同调镜像对称的环面。

英文摘要:

This thesis is concerned with D-branes in topological string theory, focusing on the description of B-type D-branes in topological Landau-Ginzburg models. Such D-branes are characterized by matrix factorizations of the Landau-Ginzburg superpotential. After reviewing some aspects of topological string theory we give a detailed discussion of matrix factorizations. We discuss methods to calculate the effective superpotential in minimal models, putting emphasis on an algorithm to calculate the effective superpotential via deformations of matrix factorizations. We furthermore perform a non-trivial check of homological mirror symmetry for the torus.

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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