On the Deformation of $\Lambda$-Symmetry in B-field Background

TL;DR

This paper demonstrates that the U(1) Lambda symmetry in open string theory becomes deformed into a noncommutative symmetry when a constant B-field background is present, affecting the gauge and B-field relationship.

Contribution

It reveals how the Lambda symmetry in open string sigma models is modified into a noncommutative form under a constant B-field background.

Findings

Lambda symmetry is deformed into a noncommutative version.

The deformation relates the B-field and gauge field in a noncommutative setting.

The result impacts understanding of gauge symmetries in string theory with background fields.

Abstract

In this note we will show that the $\Lambda$ symmetry, namely the U(1) symmetry of the open string sigma model which relates the B-field and the U(1) gauge field of a brane to each other, is deformed to a noncommutative version in a constant B-field background.