Tetrahedron Duality - ICBS 2024

Explore the intricacies of the Zamolodchikov tetrahedron equation in this hour-long lecture from the ICBS2024 conference. Delve into the three-dimensional analog of the Yang-Baxter equation and its fundamental role in the integrability of three-dimensional field theories and statistical lattice models. Discover how a specific two-dimensional supersymmetric gauge theory is proposed to satisfy a relation that elevates the tetrahedron equation to an infrared duality between quantum field theories. Examine the process of obtaining solutions to the tetrahedron equation with continuous spin variables through partition functions of this theory and its variations.