2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/29645In this study, an integrable vertex model based on the quantum affine superalgebra $U_q\bigl(\hat{gl}(2|2)\bigr)$ is constructed. The model is characterized by a particular assignment of spectral parameters and lowest as well as highest weight $U_q\bigl(gl(2|2) \bigr)$ modules to its lattice links. Solutions of the corresponding intertwining conditions yield the Boltzmann weights. The set of mutually commuting charges contains a quantity equivalent to the super spin chain Hamiltonian proposed for the description of the integer quantum Hall transition.21 pages, latexMesoscale and Nanoscale PhysicsDisordered Systems and Neural NetworksAn integrable model for the integer quantum Hall transition I: The vertex modeltext