$KBc$ algebra and the gauge invariant overlap in open string field theory

TL;DR

This paper investigates the gauge invariant overlap in open string field theory for solutions built from the $KBc$ algebra, employing analytical and numerical methods to evaluate this observable.

Contribution

It provides a detailed analysis and computation of the gauge invariant overlap for $KBc$ algebra solutions using both analytical and numerical techniques.

Findings

Successful computation of the gauge invariant overlap using sliver frame and Virasoro level expansions.

Comparison of analytical and numerical results enhances understanding of $KBc$ algebra solutions.

Insights into gauge invariance and solution properties in open string field theory.

Abstract

We study in detail the evaluation of the gauge invariant overlap for analytic solutions constructed out of elements in the $KBc$ algebra in open string field theory. We compute this gauge invariant observable using analytical and numerical techniques based on the sliver frame $\mathcal{L}_0$ and traditional Virasoro $L_0$ level expansions of the solutions.