The N = 1 supersymmetric Landau problem and its supersymmetric Landau level projections: the N = 1 supersymmetric Moyal-Voros superplane

Ben Geloun, J.;Govaerts, Jan;Scholtz, F.G.
(2009) Journal of Physics A: Mathematical and Theoretical — Vol. 42, n° 49, p. 495203 (2009)

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  • Ben Geloun, J.
    Author
  • Govaerts, Janorcid-logoUCLouvain
    Author
  • Scholtz, F.G.
    Author
Abstract
By considering Landau level projections of the N = 1 supersymmetrized Landau problem remaining nontrivial under N = 1 supersymmetry transformations, the algebraic structures of the N = 1 supersymmetric covariant non(anti)commutative superplane analogue of the ordinary N = 1 noncommutative Moyal-Voros plane are identified. In contradistinction to all discussions available in the literature on the supersymmetrized Landau problem, the relevant Landau level projections do not amount to taking a massless limit of the Landau system.
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Ben Geloun, J., Govaerts, J., & Scholtz, F. G. (2009). The N = 1 supersymmetric Landau problem and its supersymmetric Landau level projections: the N = 1 supersymmetric Moyal-Voros superplane. Journal of Physics A: Mathematical and Theoretical, 42(49), 495203. https://doi.org/10.1088/1751-8113/42/49/495203 (Original work published 2009)