论文标题
矩阵模型的注释
Notes on Matrix Models
论文作者
论文摘要
在这些笔记中,我们探索了包括大量成分的各种模型。重点放在大型遗产矩阵上的积分以及量子机械模型上,其自由度以矩阵般的方式组织。我们讨论了基质模型与二维量子重力的关系,该重力与共形物质相结合。我们简要概述了各种更通用的量子机械矩阵模型及其推定的世界表格解释以及大型$ N $系统的其他最新发展。我们以关于开放问题和未来方向的讨论结尾。
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.