Comments on gauge invariant overlaps for marginal solutions in open string field theory

TL;DR

This paper computes gauge invariant overlaps for specific marginal solutions in open string field theory, showing their consistency and potential gauge equivalence, and discusses overlaps for rolling tachyon solutions.

Contribution

It provides explicit calculations of gauge invariant overlaps for certain marginal solutions, confirming their consistency and suggesting gauge equivalence.

Findings

Overlap formulas match for different marginal solutions

Results support gauge equivalence of solutions

Comments on overlaps for rolling tachyon solutions

Abstract

We calculate the gauge invariant overlaps for Schnabl/Kiermaier-Okawa-Rastelli-Zwiebach's marginal solution with nonsingular current. The obtained formula is the same as that for Fuchs-Kroyter-Potting/Kiermaier-Okawa's marginal solution, which was already computed by Ellwood. Our result is consistent with the expectation that they may be gauge equivalent. We also comment on a gauge invariant overlap for rolling tachyon solutions in cubic open string field theory.