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arxiv: hep-th/9112013 · v1 · submitted 1991-12-06 · ✦ hep-th

Matrix models of 2d gravity

classification ✦ hep-th
keywords modelsmatrixgravitysurfacestheoryapologiesapplicationaudience
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These are introductory lectures for a general audience that give an overview of the subject of matrix models and their application to random surfaces, 2d gravity, and string theory. They are intentionally 1.5 years out of date. 0. Canned Diatribe, Introduction, and Apologies 1. Discretized surfaces, matrix models, and the continuum limit 2. All genus partition functions 3. KdV equations and other models 4. Quick tour of Liouville theory

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  1. Dynamical Triangulations for 2D Pure Gravity and Topological Recursion

    hep-th 2025-09 unverdicted novelty 6.0

    Schwinger-Dyson equations for 2D Euclidean pure gravity are reformulated as Chekhov-Eynard-Orantin topological recursion for basic-type, strip-type, and continuum dynamical triangulation models.