A New RSOS Restriction of the Zhiber-Mikhailov-Shabat Model and ${\Phi }_{(1,5)}$ Perturbations of Nonunitary Minimal Models

Abstract

The RSOS restriction of the Zhiber-Mikhailov-Shabat (ZMS) model is investigated. It is shown that in addition to the usual RSOS restriction, corresponding to ${\Phi }_{(1,2)}$ and ${\Phi }_{(2,1)}$ perturbations of minimal CFT, there is another one which yields ${\Phi }_{(1,5)}$ perturbations of non-unitary minimal models. The new RSOS restriction is carried out and the particular case of the minimal models ${\mathcal{M}}_{(3,10)}$, ${\mathcal{M}}_{(3,14)}$ and ${\mathcal{M}}_{(3,16)}$ is discussed in detail. In the first two cases, while the mass spectra of the two RSOS restrictions are the same, the bootstrap systems and the detailed amplitudes are different. In the third case, even the spectra of the two RSOS restrictions are different. In addition, for ${\mathcal{M}}_{(3,10)}$ an interpretation in terms of the tensor product of two copies of ${\mathcal{M}}_{(2,5)}$ is given.

several typos corrected; error in (3,14) S-matrix found and corrected; the introductory section on RSOS restriction is rewritten. The exposition is changed at some points to improve clarity and reference to 'duality' is avoided

References in corpus (1)

• On the relation between Phi(1,2) and Phi(1,5) perturbed minimal models

Cited by in corpus (17)

• Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
• Differential equations and integrable models: the SU(3) case
• Non compact conformal field theory and the a_2^{(2)} (Izergin-Korepin) model in regime III
• Integrable quantum field theories with OSP(m/2n) symmetries
• On the relation between Phi(1,2) and Phi(1,5) perturbed minimal models
• New families of flows between two-dimensional conformal field theories
• Non-unitarity in quantum affine Toda theory and perturbed conformal field theory
• Spectrum of boundary states in N=1 SUSY sine-Gordon theory
• The perturbations ${\varphi }_{2,1}$ and ${\varphi }_{1,5}$ of the minimal models $M(p,p^{\prime })$ and the trinomial analogue of Bailey's lemma
• The scaling supersymmetric Yang-Lee model with boundary
• Expectation values of descendent fields in the Bullough-Dodd model and related perturbed conformal field theories
• The continuum limit of $a_{N-1}^{(2)}$ spin chains
• RSOS revisited
• The R-matrix of the U_q(d_4(3)) algebra and g_2(1) affine Toda field theory
• Quantum Affine Symmetry and Scattering Amplitudes of the Imaginary Coupled d_4(3) Affine Toda Field Theory
• Minimal Models RG flows: non-invertible symmetries & non-perturbative description
• On the third level descendent fields in the Bullough-Dodd model and its reductions