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The N=1 Supersymmetric Landau Problem and its Supersymmetric Landau Level Projections: the N=1 Supersymmetric Moyal-Voros Superplane

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arxiv 0908.3300 v1 pith:UAPIOFHS submitted 2009-08-23 hep-th

Joseph Ben Geloun (1 , 3 , 4) , Jan Govaerts (2 , 3) , Frederik G. Scholtz (1) ((1) NITheP , South Africa , (2) CP3
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UCL Louvain-la-Neuve Belgium (3) ICMPA-UNESCO Cotonou Rep. Benin (4) Univ. Cheikh Anta Diop Senegal)
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classification hep-th
keywords supersymmetriclandaulevelmoyal-vorosproblemprojectionssuperplanealgebraic
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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.

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