The four-dimensional Abelian Higgs model with monopoles and Theta-term
is considered in the limit of large mass of the Higgs boson. We show
that for Theta=(2) over bar pi the theory is equivalent, at large dist
ances, to summation over all possible world-sheets of fermionic string
s with Dirichlet-type boundary conditions on the string coordinates. (
C) 1996 American Institute of Physics.