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The Ising Model Coupled to 2D Gravity: Higher-order Painlevé Equations/The String Equation
Nathan Hayford
We study a higher-order Painlevé-type equation, arising as a string equation of the order reduction of the KP hierarchy. This equation appears at the multi-critical point…
math-ph2024★ 1 cited
The Ising Model Coupled to 2D Gravity: Genus Zero Partition Function
Maurice Duits, Nathan Hayford, Seung-Yeop Lee
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-reg…