Poincare' dual of D=4 N=2 Supergravity with Tensor Multiplets

Abstract

We study, in an arbitrary even number D of dimensions, the duality between massive D/2 tensors coupled to vectors, with masses given by an arbitrary number of ``electric'' and ``magnetic'' charges, and (D/2-1) massive tensors. We develop a formalism to dualize the Lagrangian of D=4, N=2 supergravity coupled to tensor and vector multiplets, and show that, after the dualization, it is equivalent to a standard D=4, N=2 gauged supergravity in which the Special Geometry quantities have been acted on by a suitable symplectic rotation.