D=(0|2) Dirac--Maxwell--Einstein Theory as a Way for Describing Supersymmetric Quartions

Details D=(0|2) Dirac--Maxwell--Einstein Theory as a Way for Describing Supersymmetric Quartions D=(0|2) Dirac--Maxwell--Einstein Theory as a Way for Describing Supersymmetric Quartions

1993-06-30

arxiv.org/abs/hep-th/9306158v1

Int.J.Mod.Phys.A9:1555-1568,1994

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, LaTeX, report DFPD/93/TH/46

Scientific paper

10.1142/S0217751X94000698

Drawing an analogy with the Dirac theory of fermions interacting with electromagnetic and gravitational field we write down supersymmetric equations of 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 superfield propagating in a basic two-dimensional Grassmann-odd space with a cosmological constant showing itself as the quartion mass. So, the (0|2) (0 even and 2 odd) dimensional model of quartions interacting with the gauge and gravitational field manifests itself as an effective (2+1)-dimensional supersymmetric theory of free quartions.

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