Space-time supersymmetry in WZW-like open superstring field theory

TL;DR

This paper demonstrates how to realize space-time supersymmetry in WZW-like open superstring field theory, ensuring the invariance of the complete action and the correct supersymmetry algebra at the quantum level.

Contribution

It constructs a nonlinear space-time supersymmetry transformation that preserves the full action and confirms its algebraic consistency in the context of superstring field theory.

Findings

Supersymmetry transformation keeps the action invariant.

The algebra closes up to an unphysical transformation.

Supersymmetry acts correctly on the physical S-matrix.

Abstract

We investigate space-time supersymmetry in the WZW-like open superstring field theory, whose complete action was recently constructed. Starting from a natural space-time supersymmetry transformation at the linearized level, we construct a nonlinear transformation so as to keep the complete action invariant. Then we show that the transformation satisfies the supersymmetry algebra up to an extra transformation, unphysical on the asymptotic string fields. This guarantees that the constructed transformation in fact acts as space-time supersymmetry on the physical S-matrix.