String in noncommutative background: another approach

TL;DR

This paper introduces a new model for open strings in noncommutative backgrounds, deriving the noncommutative structure from a constrained system embedded in higher-dimensional space-time.

Contribution

It presents a novel approach to deriving open string actions in noncommutative backgrounds using a constrained system in flat space-time with a non-dynamical vector.

Findings

Derivation of non-zero Dirac brackets indicating noncommutativity.

Reduction of the model to an open string action in a magnetic field.

Embedding of the open string action within a noncommutative background context.

Abstract

We propose a model action in 1+1 flat space-time (compact in spatial dimension) embedded in D flat space-time with a non dynamical space-time dependent two vector. For the above constrained system Dirac brackets of suitably defined co-ordinates turn out to be non zero and under specific choice of the two vector the model action reduces to a general action of open string in a noncommutative background where we find the natural embedding of the open string action of in presence of magnetic field on D-brane.