Open membranes in a constant C-field background and noncommutative boundary strings

TL;DR

This paper explores how open membranes in a constant C-field background exhibit noncommutative boundary strings, extending the concept of noncommutativity from open strings to membranes.

Contribution

It demonstrates, through explicit calculations, that open membrane boundaries become noncommutative in a C-field background, introducing the concept of noncommutative strings.

Findings

Open membranes show noncommutativity in a C-field background.

Membrane boundaries behave as noncommutative strings.

The analysis extends noncommutative geometry from strings to membranes.

Abstract

We investigate the dynamics of open membrane boundaries in a constant C-field background. We follow the analysis for open strings in a B-field background, and take some approximations. We find that open membrane boundaries do show noncommutativity in this case by explicit calculations. Membrane boundaries are one dimensional strings, so we face a new type of noncommutativity, that is, noncommutative strings.