New Integrable Models from the Gauge/YBE Correspondence

Understand

We introduce a class of new integrable lattice models labeled by a pair of positive integers N and r.

• The integrable model is obtained from the Gauge/YBE correspondence, which states the equivalence of the 4d N=1 S^1 \times S^3/Z_r index of a large class of SU(N) quiver gauge theories with the partition function of 2d classical integrable spin models.
• The integrability of the model (star-star relation) is equivalent with the invariance of the index under the Seiberg duality.
• Our solution to the Yang-Baxter equation is one of the most general known in the literature, and reproduces a number of known integrable models.