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 -