Nonrelativistic supersymmetry in noncommutative space

Gustavo S. Lozano, Olivier Piguet, Fidel A. Schaposnik, Lucas Sourrouille
2005 Physics Letters B  
We analize a model of non relativistic matter in 2+1 dimensional noncommutative space. The matter fields interact with gauge fields whose dynamics is dictated by a Chern Simons term. We show that it is possible to choose the coupling constants in such a way that the model has and extended supersyemmetry and Bogomolnyi equations can be found.
doi:10.1016/j.physletb.2005.09.083 fatcat:xyipxawy6bby5fsu6jljtcdpzy