2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/187206The four dimensional Abelian Higgs model with monopoles and $Θ$-term is considered in the limit of the large mass of the higgs boson. We show that for $Θ=2 π$ the theory is equivalent, at large distances, to summation over all possible world-sheets of fermionic strings with Dirichlet type boundary conditions on string coordinates.8 pages, LaTeX file, no figures. Submitted to JETP LettHigh Energy Physics - Theorytext