Algebraic Bethe Ansatz for spinor R-matrices

Abstract

We present a supermatrix realisation of qq-deformed spinor-spinor and spinor-vector RR-matrices. These RR-matrices are then used to construct transfer matrices for U_{q^2}(\mathfrak{so}_{2n+1})Uq2(𝔰𝔬2n+1)- and U_{q}(\mathfrak{so}_{2n+2})Uq(𝔰𝔬2n+2)-symmetric closed spin chains. Their eigenvectors and eigenvalues are computed.