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Diffeomorphisms as quadratic charges in 4d BF theory and related TQFTs

Diffeomorphisms as quadratic charges in 4d BF theory and related TQFTs

A bstract We present a Sugawara-type construction for boundary charges in 4d BF theory and in a general family of related TQFTs. Starting from the underlying current Lie algebra of boundary symmetries, this gives rise to well-defined quadratic charges forming an algebra of vector fields. In the case of 3d …