Solving String Field Equations: New Uses for Old Tools

TL;DR

This paper demonstrates that superstring field equations are integrable and introduces a dressing method to generate solutions, reducing the problem to a cohomology calculation and outlining applications to vacuum superstring field theory.

Contribution

It adapts a 25-year-old solution-generating technique to superstring field equations, providing a new approach to construct nonperturbative solutions.

Findings

Superstring field equations are shown to be integrable.

A dressing method for solution generation is adapted.

Application framework for vacuum superstring field theory is outlined.

Abstract

It is argued that the (NS-sector) superstring field equations are integrable, i.e. their solutions are obtainable from linear equations. We adapt the 25-year-old solution-generating "dressing" method and reduce the construction of nonperturbative superstring configurations to a specific cohomology problem. The application to vacuum superstring field theory is outlined.