The N = 1 supersymmetric bootstrap and Lie algebras Original Research Article

The bootstrap programme for finding exact S-matrices of integrable quantum field theories with N = 1supersymmetry is investigated. New solutions are found which have the same fusing data as bosonic theories related to the classical affine Lie algebras. When the states correspond to a spinor spot of the Dynkin diagram they are kinks which carry a non-zero topological charge. Using these results, the S-matrices of the supersymmetric O(2n) sigma model and sine-Gordon model can be described in a uniform way.