Open superstring field theory including the Ramond sector based on the supermoduli space

We construct a gauge-invariant action for open superstring field theory up to quartic order including the Ramond sector based on the covering of the supermoduli space of super-Riemann surfaces, following the approach presented by Ohmori and Okawa. Since our approach is based on the covering of the supermoduli space, the resulting action naturally has an $A_\infty$ structure. In our construction, adding stubs to the star product can be easily incorporated, and we explicitly construct an action for open superstring field theory including the Ramond sector with stubs up to quartic interactions.