Binary-brane threefold sigma-model with light-cone supersymmetry

We study the relation between the binary-brane sigma-model and the light-cone supersymmetric scalar theory. We begin from the three-dimensional sigma-model with light-cone supersymmetry and write down all the operator varieties of the three-dimensional sigma-model. Then we define the four-dimensional sigma-model with light-cone supersymmetry and write down all the operator varieties of the four-dimensional sigma-model. We investigate the relation between the three-dimensional sigma-model and the light-cone supersymmetric scalar model. We find that the light-cone supersymmetry of the three-dimensional sigma-model can be broken by the light-cone supersymmetry of the four-dimensional sigma-model.