Conserved Currents in the Six-Vertex and Trigonometric Solid-On-Solid Models

Understand

We construct quasi-local conserved currents in the six-vertex model with anisotropy parameter $\eta$ by making use of the quantum-group approach of Bernard and Felder.

• From these currents, we construct parafermionic operators with spin $1+i\eta/\pi$ 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.