  The present article studies the class of Einstein-Hermitian harmonic maps of
constant Kaehler angle from the projective line into quadrics. We provide a
description of their moduli spaces up to image, and gauge-equivalence using the
language of vector bundles and representation theory. It is shown that the
dimension of the moduli spaces is independent of the Einstein-Hermitian
constant, and rigidity of the associated real standard, and totally real maps
is examined. Finally, certain classical results concerning embeddings of
two-dimensional spheres into spheres are rephrased and derived in our
formalism.
