Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-07-28
Phys.Lett.B602:249-254,2004
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX,12 pages.Minor corrections; version appears in PLB
Scientific paper
10.1016/j.physletb.2004.10.013
We describe a N=2 supersymmetric extension of the nonrelativistic (2+1)-dimensional model describing particles on the noncommutative plane with scalar (electric) and vector (magnetic) interactions. First, we employ the N=2 superfield technique and show that in the presence of a scalar N=2 superpotential the magnetic interaction is implied by the presence of noncommutativity of position variables. Further, by expressing the supersymmetric Hamiltonian as a bilinear in N=2 supercharges we obtain two supersymmetric models with electromagnetic interactions and two different noncanonical symplectic structures describing noncommutativity. We show that both models are related by a map of the Seiberg-Witten type.
Lukierski Jerzy
Stichel Peter C.
Zakrzewski Wojtek J.
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