On the validity of the solution of string field theory

TL;DR

This paper examines the validity of a tachyon solution in cubic string field theory, confirming its consistency with the equations of motion and supporting Sen's first conjecture.

Contribution

It provides a detailed analysis of the solution's validity, demonstrating that the equations of motion hold under specific contractions, advancing understanding of string field theory solutions.

Findings

Equation of motion holds when contracted with itself

Equation of motion holds for tachyon and gauge solutions among themselves

Supports the validity of the tachyon solution in string field theory

Abstract

We analyze the realm of validity of the recently found tachyon solution of cubic string field theory. We find that the equation of motion holds in a non trivial way when this solution is contracted with itself. This calculation is needed to conclude the proof of Sen's first conjecture. We also find that the equation of motion holds when the tachyon or gauge solutions are contracted among themselves.