On Equivalence of two Hurwitz Matrix Models

Abstract

In arXiv:0902.2627 a matrix model representation was found for the simplest Hurwitz partition function, which has Lambert curve phi e^{-phi} = psi as a classical equation of motion. We demonstrate that Fourier-Laplace transform in the logarithm of external field Psi converts it into a more sophisticated form, recently suggested in arXiv:0906.1206.

References in corpus (1)

• Instantons and Merons in Matrix Models

Cited by in corpus (11)

• Matrix Model Conjecture for Exact BS Periods and Nekrasov Functions
• Superpolynomials for toric knots from evolution induced by cut-and-join operators
• On KP-integrable Hurwitz functions
• Matrix models for $\beta$-ensembles from Nekrasov partition functions
• Integrability of Hurwitz Partition Functions. I. Summary
• Matrix Models for Random Partitions
• Unitary Integrals and Related Matrix Models
• Interplay between MacDonald and Hall-Littlewood expansions of extended torus superpolynomials
• Integrability properties of Hurwitz partition functions. II. Multiplication of cut-and-join operators and WDVV equations
• Generalized string equations for double Hurwitz numbers
• Challenges of beta-deformation