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Doubled Field Approach to Yang - Mills Requires Non-Locality

Alexei J. Nurmagambetov
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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.

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Alexei J. Nurmagambetov. 2004-07-14. Doubled Field Approach to Yang - Mills Requires Non-Locality. https://arxiv.org/abs/hep-th/0407117

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