Title: Unitary One Matrix Models: String Equations and Flows Show Chinese title

Title: 幺正单矩阵模型：弦方程和流

Abstract: We review the Symmetric Unitary One Matrix Models. In particular we discuss the string equation in the operator formalism, the mKdV flows and the Virasoro Constraints. We focus on the $\t$-function formalism for the flows and we describe its connection to the (big cell of the) Sato Grassmannian $\Gr$ via the Plucker embedding of $\Gr$ into a fermionic Fock space. Then the space of solutions to the string equation is an explicitly computable subspace of $\Gr\times\Gr$ which is invariant under the flows. Show Chinese abstract

Abstract: 我们回顾了对称酉单矩阵模型。 特别是，我们讨论了算子形式主义中的弦方程、mKdV 流和 Virasoro 约束。 我们着重于流的$\t$-函数形式主义，并描述了它通过$\Gr$到费米子 Fock 空间的 Plücker 嵌入与（Sato 草原的大单元）$\Gr$的联系。 然后，弦方程解的空间是$\Gr\times\Gr$的一个显式可计算的子空间，并且该子空间在流下保持不变。