Some Properties of String Field Algebra

TL;DR

This paper investigates the algebraic structure of string field theory, focusing on wedge states, ghost parts, and solutions to vacuum string field theory, using oscillator representations to deepen understanding.

Contribution

It introduces new constructions of wedge-like states in the ghost sector and provides solutions to vacuum string field theory, advancing the algebraic analysis of string field theory.

Findings

Constructed wedge-like states in ghost sector.

Derived solutions to vacuum string field theory.

Analyzed algebraic properties of string field algebra.

Abstract

We examine string field algebra which is generated by star product in Witten's string field theory including ghost part. We perform calculations using oscillator representation consistently. We construct wedge like states in ghost part and investigate algebras among them. As a by-product we have obtained some solutions of vacuum string field theory. We also discuss some problems about identity state. We hope these calculations will be useful for further investigation of Witten type string field theory.