A theory was proposed for dislocations and disclinations in an anisotropic continuous medium that was described by the gauge group, G = SO(3,1)T(4). It was suggested that the use of a more consistent 4-dimensional formulation of the theory was justified. The variant which was suggested here differed from Yang-Mills type theories with regard to the form of the relationship between the tensor potential and the observable fields. An analogy with electrodynamics was drawn.

A New Variant of the Gauge Theory of Linear Defects in Crystals. A.I.Musienko, V.A.Koptsik: Kristallografiya, 1995, 40[3], 438-45 (Crystallography Reports, 1995, 40[3], 398-405)