On W-operators and superintegrability for dessins d'enfant

Abstract

In this short note we identify a family of partition functions recently introduced by Wang, Liu, Zhang, and Zhao with certain specializations of the generating function for dessins d'enfant. This provides a new W-description for orbifold strongly monotone Hurwitz numbers and new examples of superintegrability in matrix models.

4 pages

References in corpus (6)

• Generation of Matrix Models by W-operators
• On KP-integrable Hurwitz functions
• Matrix Models for Random Partitions
• Superintegrability for ($\beta$-deformed) partition function hierarchies with $W$-representations
• Superintegrability summary
• Spectral curves and $W$-representations of matrix models

Cited by in corpus (6)

• Spectral curves and $W$-representations of matrix models
• On character expansion and Gaussian regularization of Itzykson-Zuber measure
• $W$-representations of two-matrix models with infinite set of variables
• Generalized $\tilde{W}$ algebras
• Higher order constraints for the ($\beta$-deformed) Hermitian matrix models
• $\beta$-WLZZ models from $\beta$-ensemble integrals directly