117 citations · 682 across the 34 of their papers we have counts for
35 papers
New determinants in the 8VSOS model with domain-wall boundaries
W. Galleas
In this letter we show the partition function of the 8VSOS model with domain-wall boundaries satisfies the same type of functional equations as its six-vertex model counterpart. We…
Functional relations in nineteen-vertex models with domain-wall boundaries
A. Bossart, W. Galleas
This work is concerned with functional properties shared by partition functions of nineteen-vertex models with domain-wall boundary conditions. In particular, we describe both Izer…
Domain-wall boundaries through non-diagonal twists in the six-vertex model
W. Galleas
In this work we elaborate on a previous result relating the partition function of the six-vertex model with domain-wall boundary conditions to eigenvalues of a transfer matrix. Mor…
Six-vertex model and non-linear differential equations II. Continuous symmetries
W. Galleas
This paper is a continuation of our previous work "Six-vertex model and non-linear differential equations I. Spectral problem" in which we have put forward a method for studying th…
Six-vertex model and non-linear differential equations I. Spectral problem
W. Galleas
In this work we relate the spectral problem of the toroidal six-vertex model's transfer matrix with the theory of integrable non-linear differential equations. More precisely, we e…
Continuous representations of scalar products of Bethe vectors
W. Galleas
We present families of single determinantal representations of on-shell scalar products of Bethe vectors. Our families of representations are parameterized by a continuous complex…