Noncommutativity and the Motion of D$_p$-brane along Itself

TL;DR

This paper investigates how the motion of a Dp-brane along itself influences open string dynamics in the presence of background fields, revealing new free parameters in the string variables and propagator.

Contribution

It introduces a detailed analysis of open strings attached to a moving Dp-brane, highlighting the effects of brane motion on string propagators and variables, with novel free parameters identified.

Findings

Motion of the brane affects open string propagator.

Open string variables acquire free parameters due to brane motion.

The study enhances understanding of string-brane interactions in dynamic backgrounds.

Abstract

We consider open strings attached to a moving D$_p$-brane with motion along itself, in the presence of the backgrounds $B_{\mu \nu}$-field and a U(1) gauge field $A_{\alpha}$. The effects of the motion of the brane on the open string propagator and on the open string variables are studied. We observe that some free parameters appear in the open string variables and in the propagator of it.