3 papers
math-ph2021
On the spectral problem of the quantum KdV hierarchy
Giulio Ruzza, Di Yang
The spectral problem for the quantum dispersionless Korteweg-de Vries (KdV) hierarchy, aka the quantum Hopf hierarchy, is solved by Dubrovin. In this article, following Dubrovin, w…
math-ph2020
Matrix models for stationary Gromov-Witten invariants of the Riemann sphere
Marco Bertola, Giulio Ruzza
Inspired by recent formulæ of Dubrovin, Yang, and Zagier, we interpret the tau function enumerating stationary Gromov-Witten invariants of as an isomonodromic tau fu…
math-ph2018
Brezin-Gross-Witten tau function and isomonodromic deformations
Marco Bertola, Giulio Ruzza
The Brezin-Gross-Witten tau function is a tau function of the KdV hierarchy which arises in the weak coupling phase of the Brezin-Gross-Witten model. It falls within the family of…