  We clarify a Wess-Zumino-Wtten-like structure including Ramond fields and
propose one systematic way to construct gauge invariant actions:
Wess-Zumino-Witten-like complete action $S_{\rm WZW}$. We show that
Kunitomo-Okawa's action proposed in arXiv:1508.00366 can obtain a topological
parameter dependence of Ramond fields and belongs to our WZW-like framework. In
this framework, once a WZW-like functional $\mathcal{A}_{\eta } =
\mathcal{A}_{\eta } [\Psi ]$ of a dynamical string field $\Psi $ is
constructed, we obtain one realization of $S_{\rm WZW}$ parametrized by $\Psi
$. On the basis of this way, we construct an action $\widetilde{S}$ whose
on-shell condition is equivalent to the Ramond equations of motion proposed in
arXiv:1506.05774. Using these results, we provide the equivalence of two these
theories: arXiv:1508.00366 and arXiv:1506.05774.
