Abstract
We construct quasilocal conserved currents in the sixvertex model with anisotropy parameter η by making use of the quantumgroup approach of Bernard and Felder. From these currents, we construct parafermionic operators with spin 1+iη/π that obey a discreteintegral 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 vertexface correspondence that takes the sixvertex model to a trigonometric SOS model, and construct SOS operators that are the image of the sixvertex currents under this correspondence. We define corresponding SOS parafermionic operators with spins s=1 and s=1+2iη/π that obey discrete integral conditions around SOS plaquettes embedded into the complex plane. We consider in detail the cyclicSOS case corresponding to the choice η=iπ(p−p′)/p, with p′<p coprime. We identify our SOS parafermionic operators in terms of the screening operators and primary fields of the associated c=1−6(p−p′)2/pp′ conformal field theory.
Original language  English 

Article number  164003 
Number of pages  31 
Journal  Journal of Physics A: Mathematical and General 
Volume  50 
Issue number  16 
DOIs  
Publication status  Published  17 Mar 2017 
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Profiles

Robert Andrew Weston
 School of Mathematical & Computer Sciences, Mathematics  Professor
 School of Mathematical & Computer Sciences  Professor
Person: Academic (Research & Teaching)