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arXiv · 2004.01171

Notes on Matrix Models

Dionysios Anninos·Beatrix Mühlmann
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Abstract

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.

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Dionysios Anninos, Beatrix Mühlmann. 2021-04-12. Notes on Matrix Models. https://doi.org/10.1088/1742-5468%2Faba499

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