Complete Action for Open Superstring Field Theory with Cyclic $A_\infty$ Structure

TL;DR

This paper develops a comprehensive gauge-invariant action for open superstring field theory incorporating cyclic $A_ abla$ structures, providing a complete solution to the classical BV master equation and establishing equivalence with existing Wess-Zumino-Witten formulations.

Contribution

It presents the first fully explicit, cyclic $A_ abla$-structured action for open superstring field theory that solves the classical BV master equation.

Findings

Constructed a gauge-invariant action for NS and R sectors.

Proved the action's equivalence to Wess-Zumino-Witten-based models.

Provided the first explicit solution to the classical BV master equation in superstring theory.

Abstract

We construct a gauge invariant action for the Neveu-Schwarz and Ramond sectors of open superstring field theory realizing a cyclic $A_\infty$ structure, providing the first complete and fully explicit solution to the classical Batalin-Vilkovisky master equation in superstring field theory. We also demonstrate the equivalence of our action to the Wess-Zumino-Witten-based construction of Kunitomo and one of the authors.