Integrability of Coupled Conformal Field Theories

A. LeClair; A. Ludwig; G. Mussardo

Integrability of Coupled Conformal Field Theories

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arxiv hep-th/9707159 v2 pith:3EWNPPIJ submitted 1997-07-17 hep-th cond-mat

A. LeClair , A. Ludwig , G. Mussardo This is my paper · ORCID

classification hep-thcond-mat

keywords coupledmodelsintegrableminimaltheoriesaffinealonganalysis

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abstract

The massive phase of two-layer integrable systems is studied by means of RSOS restrictions of affine Toda theories. A general classification of all possible integrable perturbations of coupled minimal models is pursued by an analysis of the (extended) Dynkin diagrams. The models considered in most detail are coupled minimal models which interpolate between magnetically coupled Ising models and Heisenberg spin-ladders along the $c<1$ discrete series.

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Coupled minimal models revisited II: Constraints from permutation symmetry
hep-th 2024-12 accept novelty 7.0 of 10

For coupled large-m minimal models with N=5,6,7, every permutation-charged current below spin 10 acquires an anomalous dimension, so the IR fixed points show no extended chiral algebra in that range.

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