$\Lambda$-symmetry and background independence of noncommutative gauge theory on $\mathbb R^n$

TL;DR

This paper investigates the background independence of noncommutative Yang-Mills theory on 5n, revealing conditions under which certain quantities are background independent and demonstrating 5-symmetry in the noncommutative Dirac-Born-Infeld action at small B.

Contribution

It analyzes background dependence in noncommutative gauge theories and shows 5-symmetry properties of the Dirac-Born-Infeld action at small B, extending understanding of background independence.

Findings

5 5 heta 5 F heta - 5 is background dependent at subleading order.

5 5 heta 5 F heta - 5 becomes background independent when F is constant.

The noncommutative Dirac-Born-Infeld action exhibits 5-symmetry at small B under certain conditions.

Abstract

Background independence of noncommutative Yang-Mills theory on $\mathbb R^n$ is discussed. The quantity $\theta \hat F \theta - \theta$ is found to be background dependent at subleading order, and it becomes background independent only when the ordinary gauge field strength $F$ is constant. It is shown that, at small values of $B$, the noncommutative Dirac-Born-Infeld action possesses $\Lambda$-symmetry at least to subleading order in $\theta$ if $F$ damps fast enough at infinity.