A comment on ``On Non-Abelian Duality'' by Enrique \'Alvarez, Luis \'Alvarez-Gaum\'e and Yolanda Lozano

TL;DR

This paper clarifies that the gauge fixing choice does not determine whether a gauged sigma model yields the original or dual model, correcting a misconception in prior work.

Contribution

It provides a clear demonstration that the outcome of gauged sigma models is independent of gauge fixing choices, addressing a specific misconception in the literature.

Findings

Gauge fixing does not affect the equivalence of original and dual models.

The paper refutes the claim that gauge fixing determines model duality.

Clarifies the relationship between gauge fixing and model duality in sigma models.

Abstract

The paper commented upon gives the impression that whether the gauged version of a sigma model gives rise to the original or the dual model depends on the choice of gauge fixing. It is demonstrated here that this is not so.