Mirror of the refined topological vertex from a matrix model

Mirror of the refined topological vertex from a matrix model
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矩阵模型精化拓扑顶点的镜像

DOI:
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发表时间:
2011
期刊:
影响因子:
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通讯作者:
C. Kozçaz
C. Kozçaz
中科院分区:
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文献类型:
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作者:
B. Eynard;C. Kozçaz

文献摘要

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从拓扑点在平面划分中的表示出发,给出了一个计算拓扑点的显式矩阵模型。然后我们求出该矩阵模型的谱曲线,从而求出重新生成的顶点的镜像对称性。用同样的方法建立了带钢几何形状的矩阵模型,并求出了其镜面曲线。存在矩阵模型的事实表明,重新生成的拓扑弦振幅也满足B{模型构造的重塑。
We nd an explicit matrix model computing the rened topological vertex, starting from its representation in terms of plane partitions. We then nd the spectral curve of that matrix model, and thus the mirror symmetry of the rened vertex. With the same method we also nd a matrix model for the strip geometry, and we nd its mirror curve. The fact that there is a matrix model shows that the rened topological string amplitudes also satisfy the remodeling the B{model construction.