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

TL;DR

This paper develops a formalism for dualizing D=4, N=2 supergravity with tensor and vector multiplets, revealing an equivalence to gauged supergravity with symplectic transformations, applicable in arbitrary even dimensions.

Contribution

It introduces a dualization method for massive tensor-vector systems in supergravity, connecting different formulations via symplectic rotations.

Findings

Dualization formalism for D=4, N=2 supergravity with tensors and vectors

Equivalence between dualized supergravity and gauged supergravity with symplectic rotation

Applicable in arbitrary even dimensions

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.