Partition function of the trigonometric SOS model with reflecting end

Abstract

We compute the partition function of the trigonometric SOS model with one reflecting end and domain wall type boundary conditions. We show that in this case, instead of a sum of determinants obtained by Rosengren for the SOS model on a square lattice without reflection, the partition function can be represented as a single Izergin determinant. This result is crucial for the study of the Bethe vectors of the spin chains with non-diagonal boundary terms.

13 pages, improved version

References in corpus (4)

• Bethe Ansatz Solution of the Asymmetric Exclusion Process with Open Boundaries
• Exact Spectral Gaps of the Asymmetric Exclusion Process with Open Boundaries
• Correlation functions of the open XXZ chain I
• SOS model partition function and the elliptic weight functions

Cited by in corpus (8)

• Multiple integral representation for the trigonometric SOS model with domain wall boundaries
• Domain wall partition function of the eight-vertex model with a non-diagonal reflecting end
• Scalar products of the open XYZ chain with non-diagonal boundary terms
• Symmetric functions and wavefunctions of the six-vertex model by Izergin-Korepin analysis
• Modified rational six vertex model on the rectangular lattice
• A class of partition functions associated with $E_{\tau ,\eta }(g{l}_3)$ by Izergin-Korepin analysis
• Drinfeld twist and symmetric Bethe vectors of the open XYZ chain with non-diagonal boundary terms
• Elliptic free-fermion model with OS boundary and elliptic Pfaffians