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Symplectic charges in the Yang-Mills theory of the normal conformal Cartan connection: Applications to gravity

Symplectic charges in the Yang-Mills theory of the normal conformal Cartan connection: Applications to gravity

It is known that a source-free Yang-Mills theory with the normal conformal Cartan connection used as the gauge potential gives rise to equations of motion equivalent to the vanishing of the Bach tensor. We investigate the conformally invariant presymplectic potential current obtained from this theory and find that on the …