2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57639An exact solution of the model of fully packed loops of two colors on a square lattice has recently been proposed by Dei Cont and Nienhuis using the coordinate Bethe Ansatz approach. We point out here a simpler alternative, in which the transfer matrix is directly identified as a product of R-matrices; this allows to apply the (nested) algebraic Bethe Ansatz, which leads to the same Bethe equations. We comment on some of the applications of this result.Mathematical PhysicsStatistical MechanicsExactly Solvable and Integrable Systemstext