Integrable perturbations of CFT with complex parameter: the $M_{3/5}$ model and its generalizations

Details Integrable perturbations of CFT with complex parameter: the $M_{3/5}$ model and its generalizations Integrable perturbations of CFT with complex parameter: the $M_{3/5}$ model and its generalizations

1994-11-11

arxiv.org/abs/hep-th/9411085v1

Int.J.Mod.Phys. A11 (1996) 677-698

Physics

High Energy Physics

High Energy Physics - Theory

30p, LaTeX, 2 postscript figs (embedable into text with epsfig.sty)

Scientific paper

We give evidence, by use of the Thermodynamic Bethe Ansatz approach, of the existence of both massive and massless behaviours for the $\phi_{2,1}$ perturbation of the $M_{3,5}$ non-unitary minimal model, thus resolving apparent contradictions in the previous literature. The two behaviours correspond to changing the perturbing bare coupling constant from real values to imaginary ones. Generalizations of this picture to the whole class of non-unitary minimal models $M_{p,2p\pm 1}$, perturbed by their least relevant operator lead to a cascade of flows similar to that of unitary minimal models perturbed by $\phi_{1,3}$. Various aspects and generalizations of this phenomenon and the links with the Izergin-Korepin model are discussed.

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