Document Type

Article

Publication Date

2005

Abstract

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.

Publication Title

Journal of Symmetry and Geometry in Physics

Volume

4

First Page

45

Last Page

58

Required Publisher's Statement

Journal of Geometry and Symmetry in Physics is published by the Institute of Biophysics, Bulgarian Academy of Sciences

Included in

Mathematics Commons

Share

COinS