Conserved Currents in the Six-Vertex and Trigonometric Solid-On-Solid Models
Résumé
We construct quasi-local conserved currents in the six-vertex model with anisotropy parameter η by making use of the quantum-group approach of Bernard and Felder. From these currents, we construct parafermionic operators with spin $1+\text{i}\eta /\pi $ that obey a discrete-integral condition around lattice plaquettes embedded into the complex plane. These operators are identified with primary fields in a c = 1 compactified free Boson conformal field theory. We then consider a vertex-face correspondence that takes the six-vertex model to a trigonometric SOS model, and construct SOS operators that are the image of the six-vertex currents under this correspondence. We define corresponding SOS parafermionic operators with spins s = 1 and $s=1+2\text{i}\eta /\pi $ that obey discrete integral conditions around SOS plaquettes embedded into the complex plane. We consider in detail the cyclic-SOS case corresponding to the choice $\eta =\text{i}\pi \left(\,p-{{p}^{\prime}}\right)/p$ , with ${{p}^{\prime}}
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https://hal.science/hal-01582703
Soumis le : mercredi 6 septembre 2017-13:19:03
Dernière modification le : jeudi 11 avril 2024-13:18:12
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Identifiants
- HAL Id : hal-01582703 , version 1
- ARXIV : 1612.03666
- DOI : 10.1088/1751-8121/aa63ca
- INSPIRE : 1502963
Citer
Yacine Ikhlef, Robert Weston. Conserved Currents in the Six-Vertex and Trigonometric Solid-On-Solid Models. J.Phys.A, 2017, 50 (16), pp.164003. ⟨10.1088/1751-8121/aa63ca⟩. ⟨hal-01582703⟩
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