On the separation of variables for the modular XXZ magnet and the lattice sinh-Gordon models (Q2001961)

The modular XXZ magnet and the lattice sinh-Gordon models are considered. The Gauss-Givental integral representation for the system of eigenfunctions associated with entries of the monodromy matrix is constructed. The Bytsko-Teschner conjecture [\textit{A. G. Bytsko} and \textit{J. Teschner}, J. Phys. A, Math. Gen. 39, No. 41, 12927--12981 (2006; Zbl 1107.82008)] about the structure of the spectrum of the \(B(\lambda)\)-operator of the odd length lattice sinh-Gordon model is proved.