The N=1 supersymmetric bootstrap and Lie algebas
Timothy J. Hollowood, Evangelos Mavrikis
Abstract
The bootstrap programme for finding exact S-matrices of integrable quantum field theories with N=1 supersymmetry 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 shown to close under the bootstrap.
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