New aspects of the Z2×Z2-graded 1D superspace: Induced strings and 2D relativistic models

A novel feature of the Z2×Z2-graded supersymmetry which finds no counterpart in ordinary supersymmetry is the presence of 11-graded exotic bosons (implied by the existence of two classes of parafermions). Their interpretation, both physical and mathematical, presents a challenge. The role of the “exotic bosonic coordinate” was not considered by previous works on the one-dimensional Z2×Z2-graded superspace (which was restricted to produce point-particle models). By treating this coordinate at par with the other graded superspace coordinates new consequences are obtained.