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

TL;DR

This paper develops an open $ abla=2$ superstring field theory using an $A_{ abla}$ algebra, constructing interaction vertices recursively and confirming it reproduces the correct perturbative S-matrix.

Contribution

It introduces a novel $A_{ abla}$ algebra framework for open $ abla=2$ superstring field theory, extending previous work and ensuring consistent interactions.

Findings

Constructed all interacting vertices recursively without singularities.

Reproduces the correct perturbative S-matrix.

Generalizes previous formulations of superstring field theory.

Abstract

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