GRADED POINCARE ALGEBRA, SPIN-VECTOR GAUGE-FIELDS AND GAUGE-THEORY OFGRAVITY

A gauge theory of gravity based on the complexified internal 4-dimensi onal graded Poincare group GP(cI)(4) is investigated. The algebra of G P(cI)(4) is constructed from the differential operators in spin vector space and resembles the super Poincare algebra. Without Grassmann coo rdinates, anticommuting spin vector gauge fields phi(a)(A) (A = 1,2) a re introduced, as well as the soldering forms sigma(a)(AB'). Using the spin vector gauge fields, another Lagrangian density, which is the sp inor partner of Jacobson and Smolin, is proposed.