T-duality for open strings in the presence of backgrounds and noncommutativity

TL;DR

This paper explores how T-duality transformations affect noncommutativity in open string theories, showing that certain dualities can turn a noncommutative system into a commutative one, and investigates conditions for preserving noncommutativity.

Contribution

It provides a detailed analysis of T-duality effects on noncommutative open strings and identifies transformations that preserve or alter noncommutative structures.

Findings

T-duality can convert noncommutative systems into commutative ones.

Certain transformations preserve noncommutativity.

Dual systems can be either commutative or noncommutative depending on the transformation.

Abstract

We investigate the effect of T-duality on noncommutativity. Starting with open strings ending on a D2-brane wrapped on a $T^2$ torus in the presence of a Kalb Ramond field, we consider Buscher transformations on the coordinates and background. We find that the dual system is commutative. We also study alternative transformations that can preserve noncommutativity.