We consider the integrable open-chain transfer matrix corresponding to a Y=0
brane at one boundary, and a Y_theta=0 brane (rotated with the respect to the
former by an angle theta) at the other boundary. We determine the exact
eigenvalues of this transfer matrix in terms of solutions of a corresponding
set of Bethe equations.Comment: 25 pages; v2: reference added; v3: minor revisions, form accepted by
journa
