Equivalence classes for gauge theories

TL;DR

This paper explores the relationship between duality and field redefinitions in gauge theories, establishing equivalence classes of models through a gauge embedding procedure that links dual models with similar field structures.

Contribution

It introduces a duality operator based on gauge embedding, demonstrating that dual models belong to equivalence classes characterized by the same field redefinitions.

Findings

Dual models are shown to belong to equivalence classes with identical field redefinitions.

A duality operator is constructed using gauge embedding.

The approach applies to general bilinear models involving 1-form gauge fields.

Abstract

In this paper we go deep into the connection between duality and fields redefinition for general bilinear models involving the 1-form gauge field $A$. A duality operator is fixed based on "gauge embedding" procedure. Dual models are shown to fit in equivalence classes of models with same fields redefinitions.