SUPERSYMMETRY IN BOUNDARY INTEGRABLE MODELS

Quantum integrable models that possess N = 2 supersymmetry are investi gated on the halfspace. Conformal perturbation theory is used to ident ify some N = 2 supersymmetric boundary integrable models, and the effe ctive boundary Landau-Ginzburg formulations are constructed, It is fou nd that N = 2 supersymmetry largely determines the boundary action in terms of the bulk, and in particular, the boundary bosonic potential i s \W\(2), where W is the bulk superpotential. Supersymmetry is also in vestigated using the affine quantum group symmetry of exact scattering matrices, and the affine quantum group symmetry of boundary reflectio n matrices is analyzed both for supersymmetric and more general models . Some N = 2 supersymmetry preserving boundary reflection matrices are given, and their connection with the boundary Landau-Ginzburg actions is discussed.