(en) The N=1 supersymmetric invariant Landau problem is constructed and solved. By considering Landau level projections remaining non trivial under N=1 supersymmetry transformations, the algebraic structures of the N=1 supersymmetric covariant non(anti)commutative superplane analogue of the ordinary N=0 noncommutative Moyal-Voros plane are identified.
Geloun, J. B., Scholtz, F. G., & Govaerts, J. (2009). The N=1 Supersymmetric Landau Problem and its Supersymmetric Landau Level Projections: The N=1 Supersymmetric Moyal-Voros Superplane. arXiv. https://hdl.handle.net/2078.5/257237