Noncommutative Open String: Neutral and Charged

TL;DR

This paper reviews how open string quantization in various backgrounds leads to noncommutative geometries at the endpoints, highlighting differences between NS-NS, gauge, and RR backgrounds.

Contribution

It provides a unified approach to understanding noncommutativity in open strings across different background fields, including both neutral and charged cases.

Findings

Endpoint noncommutativity in NS-NS background

Noncommutativity for charged open strings in gauge fields

Potential relevance of RR background for spacetime noncommutativity

Abstract

We review the quantization of open string in NS-NS background and demonstrate that its endpoint becomes noncommutative. The same approach allows us to determine the noncommutativity that arises for a charged open string in background gauge fields. While NS-NS background is relevant for ``worldvolume'' noncommutativity, a simple argument suggests that RR background is likely to be relevant for ``spacetime'' noncommutativity.