T. Inami et al., SUPERSYMMETRIC EXTENSION OF THE SINE-GORDON THEORY WITH INTEGRABLE BOUNDARY INTERACTIONS, Physics letters. Section B, 359(1-2), 1995, pp. 118-124
Integrability and supersymmetry of the supersymmetric extension of the
sine-Gordon theory on a half-line are examined and the boundary poten
tial which preserves both the integrability and supersymmetry on the b
ulk is derived. It appears that unlike the boundary bosonic sine-Gordo
n theory, integrability and supersymmetry strongly restrict the form a
nd parameters of the boundary potential, so that no free parameter in
the boundary term is allowed up to a choice of signs.