Quivers from Matrix Factorizations
Quivers from Matrix Factorizations
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DOI：
10.1007/s00220-012-1520-1
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发表时间：
2010-05
影响因子：
2.4
通讯作者：
P. Aspinwall;D. Morrison
中科院分区：
文献类型：
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作者：
P. Aspinwall;D. Morrison
我们讨论如何矩阵分解提供了一个实用的方法来计算超曲面奇点的超势和相关的超势。这种方法还产生了D膜的明确的几何解释（即，在Grassmannians中给出的一个决议上。作为一个例子，我们分析了一些非复曲面奇点，解决了一个单一的，但有“长度”大于一。这些例子比锥状结构丰富得多。提出了一个图片，在朗道-金兹伯格理论的矩阵分解的方式，矩阵分解在本文中使用执行非交换决议。
We discuss how matrix factorizations offer a practical method of computing the quiver and associated superpotential for a hypersurface singularity. This method also yields explicit geometrical interpretations of D-branes (i.e., quiver representations) on a resolution given in terms of Grassmannians. As an example we analyze some non-toric singularities which are resolved by a singlebut have “length” greater than one. These examples have a much richer structure than conifolds. A picture is proposed that relates matrix factorizations in Landau–Ginzburg theories to the way that matrix factorizations are used in this paper to perform noncommutative resolutions.