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Supersymmetric sine-Gordon model and the eight-vertex free fermion model with boundary
- Supersymmetric sine-Gordon model and the eight-vertex free fermion model with boundary
- Ahn C.; Koo W.M.
- Ewha Authors
- SCOPUS Author ID
- Issue Date
- Journal Title
- Nuclear Physics B
- Nuclear Physics B vol. 482, no. 3, pp. 675 - 692
- SCI; SCIE; SCOPUS
- Document Type
- 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 questions on the relationships between the free parameters in the boundary potential and those in the scattering amplitudes.
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