FTheory: Twisted Self-Duality and SO(2) Electric-Magnetic Duality for Gravity and Higher Spin Gauge Fields
We provide manifestly duality-symmetric formulations of linearized gravity and higher spin gauge fields. This requires introducing appropriate prepotentials and leads to a loss of manifest spacetime covariance. The prepotentials intriguingly exhibit higher spin Weyl symmetry for all spins. The analysis is motivated by the study of the conjectured hidden symmetries of gravity (such as E(10)), which have duality built in.