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We discuss the implementation of electric-magnetic duality transformations infour-dimensional gravity linearized around Minkowski or (A)dS4 backgrounds. Inthe presence of a cosmological constant duality generically modifies theHamiltonian, nevertheless the bulk dynamics is unchanged. We pay particularattention to the boundary terms generated by the duality transformations anddiscuss their implications for holography.

Gravitational Duality Transformations on (A)dS4