Open Superstring Field Theory on the Restricted Hilbert Space

TL;DR

This paper clarifies the relationship between different Hilbert space formulations in open superstring field theory and proposes a formulation entirely within the small Hilbert space.

Contribution

It introduces a new formulation of open superstring field theory solely in the small Hilbert space, unifying previous approaches.

Findings

Clarifies the relation between large and small Hilbert space formulations.

Proposes a consistent superstring field theory in the small Hilbert space.

Bridges different approaches to superstring field theory.

Abstract

Recently an action for open superstring field theory was proposed where the Neveu-Schwarz sector is formulated in the large Hilbert space while the Ramond sector lives in a restriction of the small Hilbert space. The purpose of this note is to clarify the relation of the restricted Hilbert space with other approaches and to formulate open superstring field theory entirely in the small Hilbert space.