Supersymmetric, Integrable Boundary Field Theories

Quantum integrable models that possess N = 2 supersymmetry are investigated on the half-space. Conformal perturbation theory is used to identify some N = 2 supersymmetric boundary integrable models, and the effective boundary Landau-Ginzburg actions are constructed. It is found that N = 2 supersymmetry largely determines the boundary action in terms of the bulk, and in particular, the boundary bosonic potential is |W |, where W is the bulk superpotential. Supersymmetry is also discussed from the perspective of the affine quantum group symmetry of exact scattering matrices, and exact N = 2 supersymmetry preserving boundary reflection matrices are described.