Yangian Doubles and off-Shell Bethe Vectors

2026/07/01 by A. Liashyk, S. Pakuliak, E. Ragoucy · 1 voice
Physics and Astronomy · #nlin.SI #hep-th #math-ph

paper · pdf

Abstract

Off-shell Bethe vectors for a generic \fg invariant integrable model are constructed through the currents of the Yangian doubles of the classical series. These off-shell Bethe vectors are shown to satisfy the defining properties which were used in \citeLPR-RR to prove the rectangular recurrence relations and verify the eigenvalue property of the on-shell Bethe vectors in \ggo-invariant integrable models.

Citations

• Scalar products of Bethe vectors in the models with \mathfrakgl(m|n) symmetry
• Combinatorial Formulae for Nested Bethe Vectors
• Weight functions and Drinfeld currents
• On the R-matrix realization of Yangians and their representations
• Quasideterminants
• Integral Presentations for the Universal R-matrix
• On correlation functions of Drinfeld currents and shuffle algebras
• Weyl group extension of quantized current algebras
• On the FRTS approach to quantized current algebras
• Quantum Groups
• Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models

Discussions

• A. Liashyk, S. Pakuliak, E. Ragoucy: Yangian Doubles and off-Shell Bethe Vectors https://arxiv.org/abs/2607.00594 https://arxiv.org/pdf/2607.00594 https://arxiv.org/html/2607.00594 [bsky, 0 points, 0 comments]

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