2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/50856We study a boundary version of the gauged WZW model with a Poisson-Lie group G as the target. The Poisson-Lie structure of G is used to define the Wess-Zumino term of the action on surfaces with boundary. We clarify the relation of the model to the topological Poisson sigma model with the dual Poisson-Lie group G^* as the target and show that the phase space of the theory on a strip is essentially the Heisenberg double of G introduced by Semenov-Tian-Shansky23 pages, latex, no figuresHigh Energy Physics - Theorytext