# A remark on the gauge action and noncommutative solitons

**Authors:** Hyun Ho Lee

arXiv: 1901.06822 · 2020-02-12

## 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.

## Key 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).

---
Source: https://tomesphere.com/paper/1901.06822