Noncommutative Geometry from String Theory: Annulus Corrections

TL;DR

This paper introduces a method to compute one-loop corrections to noncommutativity parameters in open string theory with background fields, revealing that annulus corrections mirror disk results up to a tachyon-dependent constant.

Contribution

It provides a novel approach to calculate annulus corrections in noncommutative geometry arising from string theory, extending previous disk-level analyses.

Findings

Annulus corrections share the same structure as disk results.

A constant factor due to the tachyon modifies the corrections.

The method reproduces known disk-level results.

Abstract

We develop a method in which it is possible to calculate one loop corrections to the noncommutativity parameter for open strings in a background F field. We reproduce known disk level results, and find that annulus corrections give the same structure multiplied by a constant due to the tachyon.