Applying the concept of a momentum map for supersymplectic supervectorspaces to the one-dimensional Bose-Fermi oscillator, we show that the largest symmetry group that admits a momentum map is the identity component of the intersection of the orthosymplectic group OSp(2|2) and the group of supersymplectic transformations. This gives a systematic characterization of a certain class of odd supersymmetry transformations that were originally introduced in an ad hoc way.
Journal of Symmetry and Geometry in Physics
Required Publisher's Statement
Journal of Geometry and Symmetry in Physics is published by the Institute of Biophysics, Bulgarian Academy of Sciences
Glimm, Tilmann and Schmid, Rudolf, "On the Supersymmetry Group of the Classical Bose-Fermi Oscillator,"" (2005). Mathematics. 57.