Gauge fields for the $ISL(6,C)$ symmetry group

We consider the introduction of gauge fields in the spontaneously broken $ISL(6,C)$ symmetry group. Such a schemedescribes the $2^+$ honer of gauge fields, It is pointed out that the conservation laws associated with the translation group of such a scheme, which combines spin and unitary spin degrees of freedom, differ from those associated with the Poincaré group. A method for eliminating this discrepancy is proposed.