Rectangular Recurrence Relations in ₙ and ₂ₙ₊₁ Invariant Integrable Models

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Authors: Liashyk, Andrii, Pakuliak, Stanislav, Ragoucy, Eric
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/214090
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Rectangular Recurrence Relations in ₙ and ₂ₙ₊₁ Invariant Integrable Models. Andrii Liashyk, Stanislav Pakuliak and Eric Ragoucy. SIGMA 21 (2025), 078, 28 pages

A new method is introduced to derive general recurrence relations for off-shell Bethe vectors in quantum integrable models with either type ₙ or type ₂ₙ₊₁ symmetries. These recurrence relations describe how to add a single parameter to specific subsets of Bethe parameters, expressing the resulting...