Exact Solutions of Berkovits' String Field Theory

TL;DR

This paper demonstrates the integrability of Berkovits' string field theory equations and introduces solution-generating techniques to construct explicit nonperturbative solutions for superstring and fermionic string field theories.

Contribution

It shows the integrability of the string field equations and develops methods to generate explicit nonperturbative solutions, advancing understanding of string field configurations.

Findings

Equations of motion are integrable as zero-curvature conditions.

Constructed explicit nonperturbative solutions for superstring theories.

Applied solution-generating techniques to various string field configurations.

Abstract

The equation of motion for Berkovits' WZW-like open (super)string field theory is shown to be integrable in the sense that it can be written as the compatibility condition ("zero-curvature condition") of some linear equations. Employing a generalization of solution-generating techniques (the splitting and the dressing methods), we demonstrate how to construct nonperturbative classical configurations of both N=1 superstring and N=2 fermionic string field theories. With and without u(n) Chan-Paton factors, various solutions of the string field equation are presented explicitly.