Talia Blum: Bicolored bosonic solvable lattice models

Speaker
Talia Blum, Stanford University

Abstract
Bosonic and colored variants of solvable lattice models have been studied in recent years by Aggarwal, Borodin, Brubaker, Buciumas, Bump, Gustafsson, Naprienko, Wheeler, and many others. We will define a class of these models which are bosonic and include two types of colors, generalizing the now widely-studied colored models. These bicolored bosonic models satisfy the Yang-Baxter equation. We will compute the partition function by identifying boundary conditions that give systems with a unique state, from which partition functions of all other systems can be computed by a four-term recurrence relation arising from the Yang-Baxter equation.