GUE Tracy-Widom Distribution in the Folded XXZ Model

Explore the emergence of GUE Tracy-Widom distribution in the folded XXZ model through this 57-minute conference talk delivered by K. Fujimoto from the Institute of Science Tokyo. Delve into the mathematical framework connecting random matrix theory with integrable quantum spin systems, examining how the Gaussian Unitary Ensemble Tracy-Widom distribution manifests in this specific folded variant of the XXZ model. Investigate the statistical properties and fluctuation patterns that arise in this many-body quantum system, understanding the deep connections between integrable models and random matrix statistics. Analyze the theoretical foundations underlying these distributions and their significance in the broader context of exactly solvable models in statistical mechanics and quantum field theory.