Spinning strings as torsion line spacetime defects

Abstract

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