Cubic constraints for the resolvents of the ABJM matrix model and its cousins
Cubic constraints for the resolvents of the ABJM matrix model and its cousins
复制标题
ABJM 矩阵模型及其同类模型求解的三次约束
DOI：
10.1142/s0217751x17500567
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发表时间：
2017
影响因子：
1.6
通讯作者：
Takao Suyama and Reiji Yoshioka
中科院分区：
文献类型：
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作者：
Hiroshi Itoyama;Takeshi Oota ;Takao Suyama and Reiji Yoshioka
对于一类两个节点用非零数标记的Chern-Simons物质矩阵模型，考虑了一组Schwinger-Dyson方程对至多三个预解函数构成约束.这两种情况分别是ABJM矩阵模型和透镜空间矩阵模型，ABJM矩阵模型是仿射等离子体矩阵模型的双曲线提升。在平面极限下，我们导出了两个平面预解式的三次回路方程。其中之一减少到二次一时。
A set of Schwinger–Dyson equations forming constraints for at most three resolvent functions are considered for a class of Chern–Simons matter matrix models with two nodes labeled by a nonvanishing number. The two casesandlabel, respectively, the ABJM matrix model, which is the hyperbolic lift of the affinequiver matrix model, and the lens space matrix model. In the planar limit, we derive two cubic loop equations for the two planar resolvents. One of these reduces to the quadratic one when.