A remark on the gauge action and noncommutative solitons

TL;DR

This paper extends previous work on gauge actions in noncommutative solitons by demonstrating that a family of functions can be transformed into a Gaussian form under certain conditions, enhancing understanding of gauge symmetries.

Contribution

It introduces a method to gauge away a family of functions to a Gaussian in noncommutative solitons, building on prior quantification conditions.

Findings

Family of functions can be gauged to Gaussian form

Extension of gauge action results in noncommutative solitons

Provides new insights into gauge transformations in noncommutative geometry

Abstract

We extend a result about the gauge action on noncommutative solitons by showing that a family of functions can be gauged away to a Gaussian using the quantification condition given in "On a gauge action on sigma model solitons" IDAQP(2018).