Equivariant Localization for Higher Derivative Supergravity.

Conformal supergravity provides an effective off-shell formalism to study higher derivative actions. We show that the D=4, N=2 theory admits equivariantly closed forms. These may be used to compute closed-form expressions for supersymmetric observables in a general class of supergravity theories with higher derivative couplings, without any need to solve equations of motion. We discuss applications to holography, presenting results for on-shell actions that are conjecturally valid to all orders in the perturbative 1/N expansion.