Strings, Dipoles and Fuzzy Spheres

TL;DR

This paper explores how open strings in the WZW-model can be modeled as dipoles on a spherical brane, with their interactions described by fuzzy sphere algebra, revealing a novel connection between string behavior and non-commutative geometry.

Contribution

It introduces a scaling limit where open strings behave as dipoles on a spherical brane and demonstrates how their interactions are naturally described by fuzzy sphere algebra.

Findings

Open strings behave as dipoles with charges confined to a spherical brane.

Interactions of dipoles are described using fuzzy sphere algebra.

The approach links string dynamics to non-commutative geometry.

Abstract

I discuss a scaling limit, where open strings in the WZW-model behave as dipoles with charges confined to a spherical brane and projected to the lowest Landau level. Then I show how the joining and splitting interactions of these dipoles are naturally described using the fuzzy sphere algebra.