Gauge Invariant Overlaps for Classical Solutions in Open String Field Theory

TL;DR

This paper computes gauge invariant observables for classical solutions in open string field theory using analytic and numerical methods, comparing different solutions to explore gauge equivalence and properties of marginal solutions.

Contribution

It introduces a method to calculate gauge invariant observables for classical solutions, comparing analytic and numerical solutions to analyze gauge equivalence.

Findings

Results are consistent with gauge equivalence of solutions.

Analytic and numerical methods yield compatible gauge invariant observables.

Discusses properties of marginal solutions with nonsingular currents.

Abstract

We calculate gauge invariant observables for Schnabl's solution with analytic method and with the level truncation approximation. We also compute them for the numerical solution initially obtained by Sen and Zwiebach in the level truncation approximation to compare with the one for Schnabl's solution. The results are consistent with the expectation that they may be gauge equivalent. We briefly discuss the gauge invariant observables and the action for a marginal solution with a nonsingular current.