Scattering matrices for φ1,2 perturbed conformal minimal models in absence of kink states

• Published in: Nuclear physics. B Vol. 368; no. 3; pp. 591 - 610
• Main Authors: Koubek, A., Martins, M.J., Mussardo, G.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 1992
• ISSN: 0550-3213; 1873-1562
• DOI: 10.1016/0550-3213(92)90215-W

We determine the spectrum and the factorizable S-matrices of the massive excitations of the non-unitary minimal models M 2,2n + 1 perturbed by the operator ø 1,2. These models present no kinks as asymptotic states, as follows from the reduction of the Zhiber-Mikhailov-Shabat model with respect to the quantum group SL(2) q found by Smirnov. We also give the whole set of S-matrices of the non-unitary minimal model M 2,9 perturbed by the operator ø 1,4, which is related to a RSOS reduction for the ø 1,2 operator of the unitary model M 8,9. The thermodynamical Bethe ansatz and the truncated conformal space approach are applied to these scattering theories in order to support their interpretation.