Algebraic Bethe Ansatz for spinor R-matrices

Abstract

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

37 pages; v2: minor corrections