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The {\cal N}=1 supersymmetric Landau problem and its supersymmetric Landau level projections: the {\cal N}=1 supersymmetric Moyal–Voros superplane

The {\cal N}=1 supersymmetric Landau problem and its supersymmetric Landau level projections: the {\cal N}=1 supersymmetric Moyal–Voros superplane

By considering Landau level projections of the supersymmetrized Landau problem remaining nontrivial under supersymmetry transformations, the algebraic structures of the supersymmetric covariant non(anti)commutative superplane analogue of the ordinary noncommutative Moyal–Voros plane are identified. In contradistinction to all discussions available in the literature on the supersymmetrized Landau problem, the relevant Landau …