A consistent description of spinning strings with dislocations (chiral
strings) as a missing part of the spacetime manifold (spacetime defec
t) is achieved by introducing a line of torsion along the string. Also
, the definition of a spin-dislocation tenser associated with the chir
al string allows its interpretation in the context of the Einstein-Car
tan theory of gravitation. Some generalizations, as well as the Dirac
equations, are briefly discussed. In particular, we argue that the beh
aviour of the fermions near the chiral string can be used to test the
torsion hypothesis.