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We uncover a symmetry of the linear Einstein equations near extremalhorizons. Specifically, acting with a spherically symmetric linearizeddiffeomorphism on the perturbative solutions to the Einstein-Maxwell equationsin the Bertotti-Robinson background, but not acting on the background itself,we find that there is a subset of such transformations under which theequations of motion remain satisfied, with or without additional matter. Thisrepresents an "accidental" symmetry in the sense that the set oftransformations realizing the mapping among solutions is strictly larger thanthe ${\rm SL}(2)$ isometries of the background spacetime. We argue that ouraccidental symmetry can be thought of as an on-shell large diffeomorphism of${\rm AdS}_2$, which we support in the context of Jackiw-Teitelboim theory.

Large Diffeomorphisms and Accidental Symmetry of the Extremal Horizon