Final results

Abstract

The previous part of this book first considered conformal couplings, and finally these were projected to a subspace after gauge choices. We saw how then special and quaternionic-Kähler geometries emerge. In this chapter we obtain the final action and transformation laws for N= 2, D = 4 (Sect. 6.1) and D = 5 (Sect. 6.2) Poincaré supergravity coupled to nV vector multiplets and nH hypermultiplets after elimination of auxiliary fields and in terms of the variables of Poincaré supergravity. We end with final remarks indicating also future directions.