A∞ action of open $$\mathcal{N}=2$$ superstring field theory

A bstract We formulate a string field theory for open $$\mathcal{N}=2$$ strings with an A ∞ 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.