2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152550Exact integral representations of spin one-point functions (ground state expectation values) are reported for the spin-1 analog of the XXZ model in the region $-1<q<0$. The method enables one to calculate arbitrary $n$-point functions in principle. We also report a construction of level 2 irreducible highest weight representations of $U_q(\hat{sl}_2)$ in terms of boson and fermion operators, and explicit forms of related vertex operators.28 pagesHigh Energy Physics - TheoryExactly Solvable and Integrable Systemstext