TY - JOUR

T1 - Supersymmetric sine-Gordon model and the eight-vertex free fermion model with boundary

AU - Ahn, Changrim

AU - Koo, Wai Ming

N1 - 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.

PY - 1996/12/30

Y1 - 1996/12/30

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0030607747&partnerID=8YFLogxK

U2 - 10.1016/S0550-3213(96)00518-4

DO - 10.1016/S0550-3213(96)00518-4

M3 - Article

AN - SCOPUS:0030607747

SN - 0550-3213

VL - 482

SP - 675

EP - 692

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 3

ER -