Standard Model with Duality: Theoretical Basis

TL;DR

This paper develops a nonabelian duality framework in loop space to underpin the Dualized Standard Model, addressing limitations of traditional duality concepts and exploring broader implications.

Contribution

It introduces a generalized duality transform for nonabelian gauge theories, overcoming the limitations of the Hodge * operator in such contexts.

Findings

Formulation of a nonabelian duality in loop space

Resolution of the limitations of the Hodge * in nonabelian theories

Implications for the Dualized Standard Model and related areas

Abstract

The Dualized Standard Model which has a number of very interesting physical consequences is itself based on the concept of a nonabelian generalization to electric-magnetic duality. This paper explains first the reasons why the ordinary (Hodge) * does not give duality for the nonabelian theory and then reviews the steps by which these difficulties are surmounted, leading to a generalized duality transform formulated in loop space. The significance of this in relation to the Dualized Standard Model is explained, and possibly also to some other areas.