On the elliptic 𝔤𝔩2 solid-on-solid model: Functional relations and determinants

Abstract

In this work, we study an elliptic solid-on-solid model with domain-wall boundaries having the elliptic quantum group Ep,γ[gl2^] as its underlying symmetry algebra. We elaborate on results previously presented in Galleas [Phys. Rev. E 94, 010102 (2016)] and extend our analysis to include continuous families of single determinantal representations for the model’s partition function. Interestingly, our families of representations are parameterized by two continuous complex variables which can be arbitrarily chosen without affecting the partition function.