  We describe a notion of "higher" Wess-Zumino-Witten-like action which is
natural in the context of superstring field theories formulated in the large
Hilbert space. For the open string, the action is characterized by a pair of
commuting cyclic $A_\infty$ structures together with a hierarchy of higher-form
potentials analogous to the Maurer-Cartan elements which appear in the
conventional Wess-Zumino-Witten action. We apply this formalism to get a better
understanding of symmetries of open superstring field theory and the structure
of interactions in the Ramond sector, describing an interesting connection
between Ramond vertices and Feynman diagrams.
