# Superstring Field Theory and the Wess-Zumino-Witten Action

## TL;DR

This paper introduces a higher Wess-Zumino-Witten-like action framework for superstring field theories in the large Hilbert space, elucidating symmetries and interaction structures, especially in the Ramond sector.

## Contribution

It develops a novel formalism using cyclic A_infinity structures and higher-form potentials to better understand superstring field theory interactions and symmetries.

## Key findings

- Characterizes open string action with cyclic A_infinity structures
- Provides insights into Ramond sector interactions and symmetries
- Connects Ramond vertices with Feynman diagrams

## Abstract

We describe a notion of "higher" Wess-Zumino-Witten-like action which is natural in the context of superstring field theories formulated in the large Hilbert space. For the open string, the action is characterized by a pair of commuting cyclic $A_\infty$ structures together with a hierarchy of higher-form potentials analogous to the Maurer-Cartan elements which appear in the conventional Wess-Zumino-Witten action. We apply this formalism to get a better understanding of symmetries of open superstring field theory and the structure of interactions in the Ramond sector, describing an interesting connection between Ramond vertices and Feynman diagrams.