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arXiv · hep-th/9306158

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

Dmitrij P. Sorokin·Dmitrij V. Volkov
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Abstract

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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Dmitrij P. Sorokin, Dmitrij V. Volkov. 1993-06-30. D=(0|2) Dirac--Maxwell--Einstein Theory as a Way for Describing Supersymmetric Quartions. https://doi.org/10.1142/s0217751x94000698

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