Supersymmetric sine-Gordon model and the eight-vertex free fermion model with boundary

Changrim Ahn, Wai Ming Koo

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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 languageEnglish
Pages (from-to)675-692
Number of pages18
JournalNuclear Physics, Section B
Issue number3
StatePublished - 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.


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