Deformations of toric singularities and fractional branes
Deformations of toric singularities and fractional branes
复制标题
环面奇点和分数膜的变形
DOI：
10.1088/1126-6708/2006/10/080
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发表时间：
2006
影响因子：
5.4
通讯作者：
Agostino Butti
中科院分区：
文献类型：
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作者：
Agostino Butti
在卡-丘锥的奇点处，将分数膜添加到大量的D3-膜上，改变了量子规范理论，破坏了共形不变性，导致了不同类型的IR行为。对于复曲面奇点承认复杂的变形，我们提出了一个简单的方法，允许计算异常的自由秩分布在规范理论对应的分数变形膜。该算法适合Altmann的规则的分解的复曲面图成一个Minkowski和多面体。更一般地说，我们建议如何不同的IR行为触发的分数膜可以通过寻找合适的权重与外部腿的（p，q）网络进行分类。我们检查了许多例子的建议，并在一些有趣的情况下匹配的规范理论与变形几何的模空间。
Fractional branes added to a large stack of D3-branes at the singularity of a Calabi-Yau cone modify the quiver gauge theory breaking conformal invariance and leading to different kinds of IR behaviors. For toric singularities admitting complex deformations we propose a simple method that allows to compute the anomaly free rank distributions in the gauge theory corresponding to the fractional deformation branes. This algorithm fits Altmann's rule of decomposition of the toric diagram into a Minkowski sum of polytopes. More generally we suggest how different IR behaviors triggered by fractional branes can be classified by looking at suitable weights associated with the external legs of the (p,q) web. We check the proposal on many examples and match in some interesting cases the moduli space of the gauge theory with the deformed geometry.