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Generally Covariant vs. Gauge Structure for Conformal Field Theories (1506.06071v1)

Published 19 Jun 2015 in gr-qc, math-ph, and math.MP

Abstract: We introduce the natural lift of spacetime diffeomorphisms for conformal gravity and discuss the physical equivalence between the natural and gauge natural structure of the theory. Accordingly, we argue that conformal transformations must be introduced as gauge transformations (affecting fields but not spacetime point) and then discuss special structures implied by the splitting of the conformal group.

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