TL;DR
This paper explores the deformation analysis of matrix models, specifically linking Tracy-Widom equations with monodromy preserving deformations to understand level spacing distributions.
Contribution
It establishes a novel connection between Tracy-Widom equations and monodromy preserving deformations in matrix models.
Findings
Tracy-Widom equations are realized as monodromy preserving deformations.
Provides a new framework for analyzing level spacing distributions.
Links between random matrix theory and integrable systems are clarified.
Abstract
The Tracy-Widom equations associated with level spacing distributions are realized as a special case of monodromy preserving deformations.
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