Perfect Integrability and Gaudin Models

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Author: Lu, Kang
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211087
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Perfect Integrability and Gaudin Models. Kang Lu. SIGMA 16 (2020), 132, 10 pages

We suggest the notion of perfect integrability for quantum spin chains and conjecture that quantum spin chains are perfectly integrable. We show the perfect integrability for Gaudin models associated with simple Lie algebras of all finite types, with periodic and regular quasi-periodic boundary cond...