Hidden E type structures in dilute A models

Details Hidden E type structures in dilute A models Hidden E type structures in dilute A models

1999-09-15

arxiv.org/abs/hep-th/9909104v2

Prog.Math. 191 (2000) 217-247

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, corrected typos, added references

Scientific paper

The hidden E_{7} (E_{6}) structure has been conjectured for the minimal model ${\cal M}_{4,5} ({\cal M}_{6,7}$) perturbed by $\Phi_{1,2}$ in the context of conformal field theory(CFT). Motivated by this, we examine the dilute A_{4, 6} models, which are expected to be corresponding lattice models. Thermodynamics of the equivalent one dimensional quantum systems is analyzed via the quantum transfer matrix approach. Appropriate auxiliary functions, related to kinks in the theory, play a role in constructing functional relations among transfer matrices. We successfully recover the universal Y- systems and thereby Thermodynamic Bethe Ansatz equations for E_{6,7} from the dilute A_{6,4} model, respectively.

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