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Matrix models of 2d gravity

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arxiv hep-th/9112013 v1 pith:DUIKGQJW submitted 1991-12-06 hep-th

Matrix models of 2d gravity

classification hep-th
keywords modelsmatrixgravitysurfacestheoryapologiesapplicationaudience
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 They are intentionally 1.5 years out of date. 0.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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Cited by 2 Pith papers

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    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.

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    Negative-tension ZZ-branes are required by resurgence to build complete transseries for minimal-string free energies, with analytic Stokes data and extensions to JT gravity and other string models.