An integrablesl(2|1) vertex model for the spin quantum Hall critical point

Abstract

An integrable vertex model associated to the Lie superalgebra sl(2|1) is constructed for the description of the spin quantum Hall critical phase. The model involves R-matrix solutions of the Yang-Baxter equation with respect to both the vector representation of sl(2|1) and its dual and an inhomogenity in the spectral parameters. On the torus the model can be mapped onto a Chalker-Coddington-type network model.