Yangian Doubles and off-Shell Bethe Vectors

Abstract

Off-shell Bethe vectors for a generic 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 LPR-RR to prove the rectangular recurrence relations and verify the eigenvalue property of the on-shell Bethe vectors in -invariant integrable models.

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