Abstract
We clarify a Wess-Zumino-Witten-like structure including Ramond fields and propose one systematic way to construct gauge invariant actions: Wess-Zumino-Witten-like complete action SWZW. 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 A η = A η Ψ $$ {\mathcal{A}}_{\eta }={\mathcal{A}}_{\eta}\left[\Psi \right] $$ of a dynamical string field Ψ is constructed, we obtain one realization of SWZW[Ψ] parametrized by Ψ. On the basis of this way, we construct an action S ˜ $$ \tilde{S} $$ 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 theories: arXiv:1508.00366 and arXiv:1506.05774 .