Perfect Integrability and Gaudin Models

Symmetry Integrability and Geometry-Methods and Applications

article

Kang Lu¹ 

[1] Department of Mathematics, University of Denver

关键词: Gaudin model;    Bethe ansatz;    Frobenius algebra 2020 Mathematics Subject Classification 82B23;    17B80;   

DOI  :  10.3842/SIGMA.2020.132

来源: National Academy of Science of Ukraine

【 摘 要 】

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 to simple Lie algebras of all finite types, with periodic and regular quasi-periodic boundary conditions.

【 授权许可】

Unknown