Marginal and Scalar Solutions in Cubic Open String Field Theory

TL;DR

This paper constructs marginal and scalar solutions in cubic open string field theory using delta function splitting, revealing new solutions and correcting previous errors, with implications for understanding deformations and gauge transformations.

Contribution

It introduces novel marginal and scalar solutions in cubic open string field theory, utilizing delta function splitting, and clarifies their properties and relations to the original theory.

Findings

Marginal solution corresponds to a U(1) current deformation.

Scalar solution has a universal Fock space form.

Expanded theory around scalar solution is disconnected from the original.

Abstract

We find marginal and scalar solutions in cubic open string field theory by using left-right splitting properties of a delta function. The marginal solution represents a marginal deformation generated by a U(1) current, and it is a generalized solution of the Wilson lines one given by the present authors. The scalar solution has a well-defined universal Fock space expression, and it is expressed as a singular gauge transform of the trivial vacuum. The expanded theory around it is unable to be connected with the original theory by the string field redefinition. Errors in hep-th/0112124 are corrected in this paper.