Volumes and Random Matrices

Edward Witten

Volumes and Random Matrices

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arxiv 2004.05183 v2 pith:UWORBCBR submitted 2020-04-10 math.SG hep-thmath.AG

Edward Witten This is my paper · ORCID

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keywords articlemathematicsrandomriemannsurfacestheoryvolumesatiyah

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This article is an introduction to newly discovered relations between volumes of moduli spaces of Riemann surfaces or super Riemann surfaces, simple models of gravity or supergravity in two dimensions, and random matrix ensembles. (The article is based on a lecture at the conference on the Mathematics of Gauge Theory and String Theory, University of Auckland, January 2020. It has been submitted to a special issue of the Quarterly Journal of Mathematics in memory of Michael Atiyah.)

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Strings from Feynman Diagrams
hep-th 2024-12 conditional novelty 6.0 of 10

Every Feynman diagram in a two-matrix model is mapped to a unique closed string worldsheet and Belyi embedding, with the diagram's weight equal to the string action.

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