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Gauge theory in physics and mathematics refers to a field theory whose fields include principal bundles with connection.

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Exact forms, gauge transformations, and the Hodge decomposition in non-abelian Gauge theory

I am trying to understand how the Hodge decomposition is affected by gauge transformations in non-abelian in gauge theory (eg $\mathrm{SU}(N)$). In particular, I am searching for a way to generalise t …
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