The Ising Model Coupled to 2D Gravity: Genus Zero Partition Function

We compute the genus 0 free energy for the 2-matrix model with quartic interactions, which acts as a generating function for the Ising model's partition function on a random, 4-regular, planar graph. This is consistent with the predictions of Kazakov and Boulatov on this model, as well as subse...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2025
Main Authors: Duits, Maurice, Hayford, Nathan, Lee, Seung-Yeop
Format: Article
Language:English
Published: Інститут математики НАН України 2025
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/214089
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:The Ising Model Coupled to 2D Gravity: Genus Zero Partition Function. Maurice Duits, Nathan Hayford and Seung-Yeop Lee. SIGMA 21 (2025), 079, 90 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine