Multi-cut solutions in Chern Simons matrix models
Multi-cut solutions in Chern Simons matrix models
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Chern Simons 矩阵模型中的多割解
DOI：
10.1016/j.nuclphysb.2018.01.028
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发表时间：
2018
影响因子：
2.8
通讯作者：
Kento Sugiyama
中科院分区：
文献类型：
--
作者：
Takeshi Morita;Kento Sugiyama
我们详细阐述了Chern-Simons（CS）矩阵模型在large N。这些矩阵模型的鞍点方程具有一种奇异的结构，这在普通的单矩阵模型中是看不到的。由于这种结构，在CS矩阵模型中存在无限多个多割解。特别地，我们精确地导出了纯CS矩阵模型中有限t Hooft耦合下的两截解。在ABJM矩阵模型中，我们认为某些多割解可以解释为D2-膜瞬子的凝聚。
We elaborate the Chern–Simons (CS) matrix models at largeN. The saddle point equations of these matrix models have a curious structure which cannot be seen in the ordinary one matrix models. Thanks to this structure, an infinite number of multi-cut solutions exist in the CS matrix models. Particularly we exactly derive the two-cut solutions at finite 't Hooft coupling in the pure CS matrix model. In the ABJM matrix model, we argue that some of multi-cut solutions might be interpreted as a condensation of the D2-brane instantons.