Critical RSOS Models in External Fields

Abstract

We suggest a new family of unitary RSOS scattering models which is obtained by placing the SO(N) critical models in "electric" or "magnetic" field. These fields are associated with two operators from the space of the SO(N) RCFT corresponding to the highest weight of the vector representation of SO(N). A perturbation by the external fields destroys the Weyl group symmetry of an original statistical model. We show that the resulting kinks scattering theories can be viewed as affine imaginary Toda models for non-simply-laced and twisted algebras taken at rational values (roots of unity) of $q$-parameter. We construct the fundamental kink $S$-matrices for these models. At the levels $k=1,2,\infty$ our answers match the known results for the Sine-Gordon, $Z_{2N}$ - parafermions and free fermions respectively. As a by-product in the SO(4)-case we obtain an RSOS $S$-matrix describing an integrable coupling of two minimal CFT.

20 pages, latex (references added)

References in corpus (7)

• Exact S-Matrices for Nonsimply-Laced Affine Toda Theories
• On a generalised bootstrap principle
• The Analytic Structure of Trigonometric S Matrices
• Solvable RSOS models based on the dilute BWM algebra
• Integrable Perturbations of $W_n$ and WZW Models
• Integrable Supersymmetry Breaking Perturbations of N=1,2 Superconformal Minimal Models
• On RSOS models associated to Lie algebras and RCFT

Cited by in corpus (24)

• Coupled Potts models: Self-duality and fixed point structure
• Sigma models as perturbed conformal field theories
• Integrability of Coupled Conformal Field Theories
• Minimal Models with Integrable Local Defects
• Critical points in coupled Potts models and critical phases in coupled loop models
• An integrable modification of the critical Chalker-Coddington network model
• Effect of randomness in many coupled Potts models
• The continuum limit of $a_{N-1}^{(2)}$ spin chains
• Probing integrable perturbations of conformal theories using singular vectors
• Coupled Minimal Models with and without Disorder
• Models WD_{n} in the presence of disorder and the coupled models
• Liouville field theory coupled to a critical Ising model: Non-perturbative analysis, duality and applications
• Non compact continuum limit of two coupled Potts models
• 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
• One-point functions in integrable coupled minimal models
• Critical points in coupled Potts models and correlated percolation
• Probing integrable perturbations of conformal theories using singular vectors II: N=1 superconformal theories
• Critical Behavior of Coupled q-state Potts Models under Weak Disorder
• A Renormalization Group Study of Asymetrically Coupled Minimal Models
• Coupled Critical Models: Applications to Ising-Potts Models
• Perturbative test of exact vacuum expectation values of local fields in affine Toda theories
• Randomly coupled minimal models
• Selfduality for coupled Potts models on the triangular lattice