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Article Dans Une Revue Journal of High Energy Physics Année : 2020

Integrable boundary conditions in the antiferromagnetic Potts model

Résumé

We present an exact mapping between the staggered six-vertex model and an integrable model constructed from the twisted affine $ {D}_2^2 $ Lie algebra. Using the known relations between the staggered six-vertex model and the antiferromagnetic Potts model, this mapping allows us to study the latter model using tools from integrability. We show that there is a simple interpretation of one of the known K -matrices of the $ {D}_2^2 $ model in terms of Temperley-Lieb algebra generators, and use this to present an integrable Hamiltonian that turns out to be in the same universality class as the antiferromagnetic Potts model with free boundary conditions. The intriguing degeneracies in the spectrum observed in related works ([12, 13]) are discussed.
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Dates et versions

hal-02518080 , version 1 (11-04-2023)

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Paternité

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Niall F. Robertson, Michal Pawelkiewicz, Jesper Lykke Jacobsen, Hubert Saleur. Integrable boundary conditions in the antiferromagnetic Potts model. Journal of High Energy Physics, 2020, 05, pp.144. ⟨10.1007/JHEP05(2020)144⟩. ⟨hal-02518080⟩
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