Integrability and duality in spin chains

Exactly solvable models have played a key role in our understanding of low-dimensional statistical systems and condensed matter physics. Underlying these models is the famous Yang-Baxter equation, and the authors present here a large class of new integrable quantum many-body models following a rational solution to this equation. Moreover, a duality symmetry connecting different integrable models is uncovered. This is illustrated using an interacting topological system, where the topological phase transition is related to the modular subgroup of the duality symmetry.