Doubled Field Approach to Yang - Mills Requires Non-Locality

TL;DR

This paper explores a doubled field approach to Yang-Mills theory in five dimensions, revealing that dualization necessitates non-locality and extending the analysis to supersymmetric cases.

Contribution

It introduces a doubled field formulation for Yang-Mills theory, demonstrating the requirement of non-locality for non-abelian dualization and extending the framework to supersymmetry.

Findings

Dualization of non-abelian theories requires non-locality.

Constructed a duality-symmetric Yang-Mills action in five dimensions.

Extended the formulation to supersymmetric theories.

Abstract

Doubling a Yang-Mills field we apply the pattern which has been found to construct a "duality-symmetric" gravity with matter to the "duality-symmetric" Yang - Mills theory in five space-time dimensions. Constructing the action we conclude that dualizing a non-abelian theory requires non-locality. We analyze the symmetries of the theory and equations of motion. Extension to the supersymmetric theory is also demonstrated.