On non-abelian structures in open string field theory

TL;DR

This paper explores non-abelian structures in open string field theory, focusing on multi-brane backgrounds and using differential operator algebras to describe non-abelian degrees of freedom.

Contribution

It introduces a simple description of non-abelian degrees of freedom in open string field theory using algebra of differential operators.

Findings

Non-abelian degrees of freedom are characterized by differential operator algebra.

Multi-brane backgrounds are effectively described within this framework.

The approach provides a natural mathematical tool for analyzing non-abelian phenomena.

Abstract

Multi-brane backgrounds are studied in the framework of the background independent open string field theory. A simple description of the non-abelian degrees of freedom is given. Algebra of the differential operators acting on the space of functions on the space-time provides a natural tool for the discussion of this phenomena.