268 citations · 1.7k across the 77 of their papers we have counts for
6 papers · 1 filter
Quantum Gaudin model and classical KP hierarchy
A. Zabrodin
This short note is a review of the intriguing connection between the quantum Gaudin model and the classical KP hierarchy recently established in [1]. We construct the generating fu…
The Master T-Operator for Inhomogeneous XXX Spin Chain and mKP Hierarchy
Anton Zabrodin
Following the approach of [Alexandrov A., Kazakov V., Leurent S., Tsuboi Z., Zabrodin A., J. High Energy Phys. 2013 (2013), no. 9, 064, 65 pages, arXiv:1112.3310], we show how to c…
Spectrum of Quantum Transfer Matrices via Classical Many-Body Systems
A. Gorsky, A. Zabrodin, A. Zotov
In this paper we clarify the relationship between inhomogeneous quantum spin chains and classical integrable many-body systems. It provides an alternative (to the nested Bethe ansa…
Symmetric solutions of the dispersionless Toda hierarchy and associated conformal dynamics
A. Zabrodin
Under certain reality conditions, a general solution to the dispersionless Toda lattice hierarchy describes deformations of simply-connected plane domains with a smooth boundary. T…
The master T-operator for the Gaudin model and the KP hierarchy
Alexander Alexandrov, Sebastien Leurent, Zengo Tsuboi +1
Following the approach of [arXiv:1112.3310], we construct the master T -operator for the quantum Gaudin model with twisted boundary conditions and show that it satisfies the biline…
Symmetric solutions to dispersionless 2D Toda hierarchy, Hurwitz numbers and conformal dynamics
S. M. Natanzon, A. V. Zabrodin
We explicitly construct the series expansion for a certain class of solutions to the 2D Toda hierarchy in the zero dispersion limit, which we call symmetric solutions. We express t…