Generalized Symmetries for Generalized Gravitons

We construct generalized symmetries for linearized Einstein gravity in arbitrary dimensions. First-principle considerations quantum field theory force to appear dual pairs. Verifying this prediction helps us find the full set of nontrivial conserved charges---associated, equal parts, with 2-form and ($D\ensuremath{-}2$)-form currents. Their total number is $D(D+1)$. compute commutators pairs charges, showing that they are nonvanishing regions whose boundaries nontrivially linked each other zero otherwise, as expected on general grounds. also consider higher-curvature gravities. These propagate, addition usual graviton, a spin-0 mode well massive ghostlike spin-2 mode. When latter absent, unitary dual-pairs principle respected. In particular, we types charges remain same gravity, correspond continuous generalizations Einsteinian ones.