New Solvable Lattice Models from Conformal Field Theory

TL;DR

This paper constructs new solvable lattice models by deriving trigonometric solutions to the Yang-Baxter equation from conformal field theory, expanding the set of known integrable models beyond quantum group methods.

Contribution

It introduces novel trigonometric solutions to the Yang-Baxter equation derived from conformal field theory, not obtainable through quantum groups, and discusses their elliptic limits.

Findings

New trigonometric solutions to Yang-Baxter equation

Construction from conformal field theory methods

Connection to elliptic solutions and critical limits

Abstract

We build the trigonometric solutions of the Yang-Baxter equation that can not be obtained from quantum groups in any direct way. The solution is obtained using the construction suggested recently from the rational conformal field theory corresponding to the WZW model on $SO(3)_{4 R}=SU(2)_{4 R} / Z_{2}$. We also discuss the full elliptic solution to the Yang-Baxter equation whose critical limit corresponds to the trigonometric solution found below.