Local aspects of free open bosonic string field theory

TL;DR

This paper demonstrates the existence of strictly local observables with arbitrarily small support in covariant free open bosonic string field theory, using a modified DDF operator approach, advancing algebraic quantum field theory applications.

Contribution

It introduces a rigorous construction of local observables in string field theory, enabling the development of local observable algebras in this context.

Findings

Existence of local observables with small support in string field theory

Rigorous definition of modified DDF operators

Foundation for algebraic quantum field theory in string theory

Abstract

We show that strictly local observables with arbitrarily small support in space-time exist in covariant free open bosonic string field theory. The main ingredient of the proof is a modified version of the well known DDF operators, which we rigourously define. This result allows in principle the definition of a net of local observable algebras and should be considered as a first step towards the application of algebraic quantum field theory to this case