## 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 questions on the relationships between the free parameters in the boundary potential and those in the scattering amplitudes.

Original language | English |
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Pages (from-to) | 675-692 |

Number of pages | 18 |

Journal | Nuclear Physics, Section B |

Volume | 482 |

Issue number | 3 |

DOIs | |

State | Published - 30 Dec 1996 |

### Bibliographical note

Funding Information:C.A. is supported in part by KOSEF 95-0701-04-01-3, 961-0201-006-2, BSRI 95-2427 and non-directed research fund by Korea Research Foundation and W.M.K. by a grant from KOSEF through CTP/SNU.