On Itzykson-Zuber Ansatz

Abstract

We apply the renormalized coupling constants and Virasoro constraints to derive the Itzykson-Zuber Ansatz on the form of the free energy in topological 2D gravity. We also treat the topological 1D gravity and the Hermitian one-matrix models in the same fashion. Some uniform behaviors are discovered in this approach.

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Cited by in corpus (4)

• JT supergravity and Brezin-Gross-Witten tau-function
• Grothendieck's Dessins d'Enfants in a Web of Dualities. III
• Genus expansion of open free energy in 2d topological gravity
• 't Hooft expansion of multi-boundary correlators in 2D topological gravity