Perfect Integrability and Gaudin Models

Abstract

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.

References in corpus (7)

• Gaudin Model, Bethe Ansatz and Critical Level
• Gaudin models with irregular singularities
• Opers with irregular singularity and spectra of the shift of argument subalgebra
• Trigonometric weight functions as K-theoretic stable envelope maps for the cotangent bundle of a flag variety
• Bethe eigenvectors of higher transfer matrices
• Lower Bounds for Numbers of Real Self-Dual Spaces in Problems of Schubert Calculus
• On the Gaudin model of type G${}_2$

Cited by in corpus (2)

• Bethe ansatz equations for orthosymplectic Lie superalgebras and self-dual superspaces
• Completeness of Bethe ansatz for Gaudin models associated with gl(1|1)