Large-N reduction for N=2 quiver Chern-Simons theories on S^3 and localization in matrix models
Large-N reduction for N=2 quiver Chern-Simons theories on S^3 and localization in matrix models
复制标题
N=2 的大 N 约简使 Chern-Simons 关于 S^3 的理论和矩阵模型中的局部化
DOI：
10.1103/physrevd.85.106003
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
S. Shimasaki
中科院分区：
文献类型：
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作者：
Y. Asano;G. Ishiki;T. Okada;S. Shimasaki
我们研究了通过将箭袋陈-西蒙斯理论降维到零维而获得的简化矩阵模型，并表明如果将简化模型围绕特定的多重模糊球背景展开，则它在大极限上与原始理论等效。这被认为是弯曲空间上的新颖的大缩减。我们对简化模型执行定位方法，并计算 BPS Wilson 环算子的自由能和真空期望值。在大极限下，我们发现这些结果与原始理论中的结果完全一致。
We study reduced matrix models obtained by the dimensional reduction ofquiver Chern-Simons theories onto zero dimension and show that if a reduced model is expanded around a particular multiple fuzzy sphere background, it becomes equivalent to the original theory onin the large-limit. This is regarded as a novel large-reduction on a curved space. We perform the localization method to the reduced model and compute the free energy and the vacuum expectation value of a BPS Wilson loop operator. In the large-limit, we find an exact agreement between these results and those in the original theory on.