Wilson Lines and Classical Solutions in Cubic Open String Field Theory

TL;DR

This paper constructs exact classical solutions in cubic open string field theory, revealing finite Wilson line deformations with well-defined properties and addressing previous singularity issues, also exploring marginal tachyon lump solutions.

Contribution

It introduces exact solutions corresponding to Wilson line deformations, improving upon previous approximations and analyzing marginal tachyon lumps at critical radius.

Findings

Solutions are finite deformations of Wilson lines.

No branch cut singularities in the solutions.

Addresses issues found in level truncation approximations.

Abstract

We construct exact classical solutions in cubic open string field theory. By the redefinition of the string field, we find that the solutions correspond to finite deformations of the Wilson lines. The solutions have well-defined Fock space expressions, and they have no branch cut singularity of marginal parameters which was found in the analysis using level truncation approximation in Feynman-Siegel gauge. We also discuss marginal tachyon lump solutions at critical radius.