2012/04/16 by Hrachya M. Babujian, H. Babujian, Babujian, H. +6 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #hep-th #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1204.3479
This paper contains detailed proofs and pictures which were shortened or skipped in JPA45 (2012) 055207, 40 pages
arxiv created 2012/04/16 · openalex publication_date 2012/04/16 · arxiv updated 2012/04/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A system of O(N)-matrix difference equations is solved by means of the off-shell version of the nested algebraic Bethe ansatz. In the nesting process a new object, the Π-matrix, is introduced to overcome the complexities of the O(N) group structure. The proof of the main theorem is presented in detail. In particular, the cancellation of all unwanted terms is shown explicitly. The highest weight property of the solutions is proved.