  The problem of separation of variables (SoV) in supersymmetric spin chains is
closely related to the calculation of correlation functions in N=4 SYM theory
which is integrable in the planar limit. To address this question we find a
compact formula for the spin chain eigenstates, which does not have any sums
over auxiliary roots one usually gets in the widely adopted nested Bethe
ansatz. Our construction only involves one application of a simple Bg(u_k)
operator to the reference state for each of the magnons, in complete analogy
with the su(2) algebraic Bethe ansatz. This generalizes our SoV based
construction for su(n) to the supersymmetric su(1|2) case.
