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The low-energy effective action for the N=4 super Yang-Mills on the Coulombbranch is known to include an SO(6)-invariant Wess-Zumino (WZ) term for the sixscalar fields. For each maximal, non-anomalous subgroup of the SU(4)R-symmetry, we find a four-dimensional form of the WZ term with this subgroupbeing manifest. We then show that a recently proposed expression for thefour-derivative part of the effective action in N=4 USp(4) harmonic superspaceyields the WZ term with manifest SO(5) R-symmetry subgroup. The N=2 SU(2)harmonic superspace form of the effective action produces the WZ term withmanifest SO(4) x SO(2). We argue that there is no four-dimensional form of theWZ term with manifest SU(3) R-symmetry, which is relevant for N=1 and N=3superspace formulations of the effective action.

Wess-Zumino term in the N=4 SYM effective action revisited