In this paper, we firstly find that the multiplications HM (u 1) HM (u 2)⋯ HM (u N) are tau
functions of the KP hierarchy for any positive integer numbers M, N, where HM (z) is the …

This paper is concerned with the construction of the generalized strong anisotropic XXZ
model. By means of the quantum inverse scattering method and boson-fermion …

In this work we demonstrate that the Yang–Baxter algebra can also be employed in order to
derive a functional relation for the partition function of the six-vertex model with domain wall …

This thesis studies the role of free fermions in certain classical and quantum integrable
models. The classical models studied are the KP and BKP hierarchies of partial differential …

Using a Jacobi–Trudi-type identity, we show that the scalar product of a general state and a
Bethe eigenstate in a finite-length XXZ spin-12 chain is (a restriction of) a KP τ function. This …

We obtain a new representation for the partition function of the six-vertex model with domain
wall boundaries using a functional equation recently derived by the author. This new …

Boundary correlation functions of the six and nineteen vertex models on an N× N lattice with
domain wall boundary conditions are studied. The general expression of the boundary …

We show that the chiral partition function of two-dimensional Yang–Mills theory on the
sphere can be mapped to the partition function of the homogeneous six-vertex model with …

The domain wall partition function for the Izergin–Korepin nineteen-vertex model at a root of
unity - IOPscience Skip to content IOP Science home Accessibility Help Search all IOPscience …

Recent work of Foda and his group on a connection between classical integrable
hierarchies (the KP and 2D Toda hierarchies) and some quantum integrable systems (the 6 …