$A_{\mathrm{\infty }}$ Action of Open $\mathcal{N}=2$ Superstring Field Theory

We formulate a string field theory for open $\mathcal{N}=2$ strings with an $A_{\mathrm{\infty }}$ algebra structure. Starting from the BRST cohomology relative to the U(1) anti-ghost zero-mode, we generalize [arXiv:1312.2948] and constructed all interacting vertices recursively and without singularity. We also show that our string field theory reproduces the correct perturbative S-matrix.