Pavel Exner and Hynek Kovarik Spectrum of the Schroedinger operator in a perturbed periodically twisted tube (27K, LaTeX) ABSTRACT. We study Dirichlet Laplacian in a screw-shaped region, i.e. a straight twisted tube of a non-circular cross section. It is shown that a local perturbation which consists of "slowing down" the twisting in the mean gives rise to a non-empty discrete spectrum.