Nested algebraic Bethe ansatz for deformed orthogonal and symplectic spin chains

We construct exact eigenvectors and eigenvalues for Uq(sp(2n))- and Uq(so(2n))-symmetric closed spin chains by means of a nested algebraic Bethe ansatz method. We use a fusion procedure to construct higher-dimensional Lax operators. Our approach generalises and extends the results obtained by Reshetikhin and De Vega–Karowski. We also present a generalisation of Tarasov–Varchenko trace formula for nested Bethe vectors