In these notes we explore a variety of models comprising a large number of constituents. An emphasis is placed on integrals over large Hermitian matrices, as well as quantum mechanical models whose degrees of freedom are organised in a matrix-like fashion. We discuss the relation of matrix models to two-dimensional quantum gravity coupled to conformal matter. We provide a brief overview of a variety of more general quantum mechanical matrix models and their putative worldsheet interpretation, as well as other recent developments on large N systems. We end with a discussion of open questions and future directions.

中文翻译：

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关于矩阵模型的注意事项（矩阵沉思）

在这些注释中，我们探索了包含大量成分的各种模型。重点放在大型Hermitian矩阵的积分以及其自由度以矩阵形式组织的量子力学模型上。我们讨论了与共形物质耦合的二维量子引力的矩阵模型的关系。我们简要概述了各种更一般的量子力学矩阵模型及其推定的世界表解释，以及大型N系统的其他最新进展。最后，我们讨论了未解决的问题和未来的方向。