SU(N) Matrix Difference Equations and a Nested Bethe Ansatz

1996/11/01 by H. Babujian, Babujian, H., M. Karowski +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9611005

18 pages, LaTeX

arxiv created 1996/11/01 · arxiv updated 2009/11/30

Abstract

A system of SU(N)-matrix difference equations is solved by means of a nested version of a generalized Bethe Ansatz, also called "off shell" Bethe Ansatz. The highest weight property of the solutions is proved. (Part I of a series of articles on the generalized nested Bethe Ansatz and difference equations.)

Related

• The Nested Off-shell Bethe ansatz and O(N) Matrix Difference Equations
• Bethe Ansatz Equations of XXZ Model and q-Sturm-Liouville Problems
• Bases of Bethe Vectors and Difference Equations with Regular Singular Points
• Nested Bethe Ansatz and Finite Dimensional Canonical Commutation Relations
• The Bethe Equation at q=0, The M"obius Inversion Formula, and Weight Multiplicities: III. The X^(r)_N case