# Non-commutativity and Open Strings Dynamics in Melvin Universes

## TL;DR

This paper calculates the Moyal phase factor for open strings on D3-branes in a Melvin universe, revealing how non-commutativity affects string dynamics in this specific background.

## Contribution

It provides an explicit world sheet formalism derivation of the Moyal phase factor for open strings in a Melvin universe, advancing understanding of non-commutative string theories.

## Key findings

- Explicit computation of the Moyal phase factor
- Insights into non-commutative open string dynamics
- Application of world sheet formalism in Melvin backgrounds

## Abstract

We compute the Moyal phase factor for open strings ending on D3-branes wrapping a NSNS Melvin universe in a decoupling limit explicitly using world sheet formalism in cylindrical coordinates.