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arXiv · hep-th/9606003

Supersymmetric Sine-Gordon Model and the Eight-Vertex Free Fermion model with Boundary

Changrim Ahn·Wai Ming Koo
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Abstract

We compute the boundary scattering amplitudes of the breathers of the supersymmetric sine-Gordon model using the fusion of the soliton-antisoliton pair scattering with the boundary with a known result of the soliton boundary scattering amplitudes. We also solve the boundary Yang-Baxter equation of the eight-vertex free fermion models to find the boundary reflection matrices. The former result is confirmed by the latter since the bulk $S$-matrices of the breathers can be identified with the trigonometric limit of the Boltzmann weights of the free fermion models. Our dual approach can answer a few quesions on the relationships between the free parameters in the boundary potential and those in the scattering amplitudes.

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Changrim Ahn, Wai Ming Koo. 1996-06-30. Supersymmetric Sine-Gordon Model and the Eight-Vertex Free Fermion model with Boundary. https://doi.org/10.1016/s0550-3213(96)00518-4

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