Lagrangian mechanics of massless superparticle on image superbackground Original Research Article

Massless superparticle model is considered on the image supercoset manifold and in the image superspace. In the former case integrability of the equations of motion is rather obvious, while for the image superparticle we prove integrability in the partial κ-symmetry gauge for which 4 anticommuting coordinates related to the broken conformal supersymmetry are set to zero. This allows us to propose expression for the Lax pair that may encode complete equations of motion for the image superparticle.