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Drawing an analogy with the Dirac theory of fermions interacting withelectromagnetic and gravitational field we write down supersymmetric equationsof motion and construct a superfield action for particles with spin 1/4 and 3/4(quartions), where the role of quartion momentum in effective(2+1)--dimensional space-time is played by an abelian gauge superfieldpropagating in a basic two-dimensional Grassmann-odd space with a cosmologicalconstant showing itself as the quartion mass. So, the (0|2) (0 even and 2 odd)dimensional model of quartions interacting with the gauge and gravitationalfield manifests itself as an effective (2+1)-dimensional supersymmetric theoryof free quartions.Comment: 16 pages, LaTeX, report DFPD/93/TH/4

D = (0|2) DIRAC–MAXWELL–EINSTEIN THEORY AS A WAY FOR DESCRIBING SUPERSYMMETRIC QUARTIONS