String field theory solution corresponding to constant background magnetic field

TL;DR

This paper constructs solutions in string field theory that represent constant magnetic backgrounds, matching the classical Born-Infeld action, using boundary condition changing operators and recent solution methods.

Contribution

It introduces a novel method to explicitly construct string field theory solutions for constant magnetic backgrounds, extending previous approaches.

Findings

Solutions match the Born-Infeld action

Boundary condition operators are explicitly calculated

Method applies to constant magnetic field backgrounds

Abstract

Following the method recently proposed by Erler and Maccaferri, we construct solutions to the equation of motion of Witten's cubic string field theory, which describe constant magnetic field background. We study the boundary condition changing operators relevant to such background and calculate the operator product expansions of them. We obtain solutions whose classical action coincide with the Born-Infeld action.