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Article Dans Une Revue J.Phys.A Année : 2017

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}}

Dates et versions

hal-01582703 , version 1 (06-09-2017)

Identifiants

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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