Gauge Invariant Overlaps for Identity-Based Marginal Solutions

TL;DR

This paper analytically computes gauge invariant overlaps for identity-based marginal solutions in open string field theory, revealing their relation to wedge-based solutions and boundary current integrations.

Contribution

It introduces a new analytical method to evaluate gauge invariant overlaps for identity-based solutions, connecting them to wedge-based solutions and boundary current correlations.

Findings

Gauge invariant overlaps can be expressed as differences of wedge-based solutions.

Overlaps are transformable into disk correlation functions with boundary current integrations.

Analytical expressions for overlaps are obtained for identity-based marginal solutions.

Abstract

We investigate identity-based solutions associated with marginal deformations in open string field theory. We find that the identity-based marginal solutions can be represented as a difference of wedge-based solutions plus an integration of a deformed BRST exact state. Using this expression, the gauge invariant overlap can be calculated analytically for the identity-based solutions. Moreover, we show that, by gauge transformation, the overlap is transformed into a disk correlation function with the integrations of currents at the boundary.