New determinants in the 8VSOS model with domain-wall boundaries

Abstract

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 then use these refined functional equations to obtain novel determinantal representations for the aforementioned partition function.

V1: 12 pages. V2: 14 pages, some factors corrected and appendix added

References in corpus (2)

• SOS model partition function and the elliptic weight functions
• Elliptic solid-on-solid model's partition function as a single determinant

Cited by in corpus (1)

• Modified rational six vertex model on a rectangular lattice : new formula, homogeneous and thermodynamic limits