Onsager Algebras in Quantum Lattice Models

Explore the role of Onsager algebras in quantum lattice models through this 44-minute conference talk. Delve into the historical significance of the Onsager algebra, tracing its roots to the exact solution of the 2-dimensional Ising model in the 1940s. Examine a series of conjectures proposing the widespread presence of the Onsager algebra in various integrable quantum lattice models. Investigate the generalizations of the Onsager algebra and their appearance in the recently studied "free fermions in disguise" model. Gain insights into the origin of these algebraic structures and consider open questions in the field. Enhance your understanding of exactly solvable models and their underlying algebraic foundations in this presentation from the Workshop on Integrable systems, exactly solvable models and algebras held at the Centre de recherches mathématiques.

Yuan Miao: Onsager algebras in quantum lattice models