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math-ph2024★ 1 cited
On the nested algebraic Bethe ansatz for spin chains with simple -symmetry
Allan John Gerrard
We propose a new framework for the nested algebraic Bethe ansatz for a closed, rational spin chain with -symmetry for any simple Lie algebra . Starting…
math-ph2019
Nested algebraic Bethe ansatz for deformed orthogonal and symplectic spin chains
Allan Gerrard, Vidas Regelskis
We construct exact eigenvectors and eigenvalues for - and -symmetric closed spin chains by means of a nested algebraic Bethe ansat…
math-ph2019★ 8 cited
Nested algebraic Bethe ansatz for orthogonal and symplectic open spin chains
Allan Gerrard, Vidas Regelskis
We present a nested algebraic Bethe ansatz for one-dimensional open so(2n)- and sp(2n)-symmetric spin chains with diagonal boundary conditions and described by the extended twisted…