Analytic Solutions for Marginal Deformations in Open String Field Theory

TL;DR

This paper presents an analytic method for solving marginal deformations in open string field theory, including regular and singular cases, with applications to D-brane decay and all alpha' corrections.

Contribution

It introduces a calculable analytic framework for marginal deformations in open string field theory, handling both regular and singular operator products, and constructs explicit solutions including time-dependent decay.

Findings

Constructed all-order solutions for regular operator products.

Developed regularization and counterterm methods for singular products.

Explicit third-order solutions demonstrating the approach.

Abstract

We develop a calculable analytic approach to marginal deformations in open string field theory using wedge states with operator insertions. For marginal operators with regular operator products, we construct analytic solutions to all orders in the deformation parameter. In particular, we construct an exact time-dependent solution that describes D-brane decay and incorporates all alpha' corrections. For marginal operators with singular operator products, we construct solutions by regularizing the singularity and adding counterterms. We explicitly carry out the procedure to third order in the deformation parameter.