Noncommutativity of the Moving D2-brane Worldvolume

TL;DR

This paper investigates the noncommutative properties of a moving D2-brane with background fields, analyzing open string variables, scaling limits, and the equivalence of magnetic and electric noncommutativities under T-duality.

Contribution

It provides new conditions for the equivalence of noncommutativity in T-dual theories involving moving D-branes and background fields.

Findings

Derived conditions for noncommutativity equivalence under T-duality.

Analyzed the behavior of open string variables in different scaling limits.

Explored the relationship between magnetic and electric noncommutativities.

Abstract

In this paper we study the noncommutativity of a moving membrane with background fields. The open string variables are analyzed. Some scaling limits are studied. The equivalence of the magnetic and electric noncommutativities is investigated. The conditions for equivalence of noncommutativity of the T-dual theory in the rest frame and noncommutativity of the original theory in the moving frame are obtained.