多矩阵模型的特征值动力学
Eigenvalue Dynamics for Multimatrix Models
摘要：
通过显式计算关联函数，我们发现有证据表明，有一个部门的两个矩阵模型定义的$SU(2)$部门的${\cal N}=4$超级杨米尔斯理论，可以减少到本征值动力学。有一个有趣的推广通常范德蒙行列式的作用。我们研究的观测量是$SU(2)$扇区的BPS算子，包括两个矩阵乘积的迹，这是真正的多矩阵观测量。这些算符与弦论的超引力解有关。
英文摘要：
By performing explicit computations of correlation functions, we find evidence that there is a sector of the two matrix model defined by the $SU(2)$ sector of ${\cal N}=4$ super Yang-Mills theory, that can be reduced to eigenvalue dynamics. There is an interesting generalization of the usual Van der Monde determinant that plays a role. The observables we study are the BPS operators of the $SU(2)$ sector and include traces of products of both matrices, which are genuine multi matrix observables. These operators are associated to supergravity solutions of string theory.
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