Alternative N=2 supergravity in five dimensions with singularities

Abstract

We present an alternative N=2 supergravity multiplet coupled to n copies of vector multiplets and n′ copies of hypermultiplets in five dimensions. Our supergravity multiplet contains a single antisymmetric tensor and a dilaton, which are natural Neveu–Schwarz massless fields in superstring theory. The absence of the explicit Chern–Simons terms in our Lagrangian deletes the non-trivial constraints on the couplings of vector multiplets in the conventional formulation. The scalars in the vector multiplets form the σ-model for the coset SO( n,1)/ SO( n), like those in the vector multiplets coupled to N=1 supergravity in nine dimensions, while the scalars in the hypermultiplets form that for the quaternionic Kähler manifold Sp( n′,1)/ Sp( n′)× Sp(1). We also perform the gauging of the SO(2) subgroup of the Sp(1)=SL(2, R) automorphism group of N=2 supersymmetry. Our result is also generalized to singular 5D space–time as in the conventional formulation, as a preliminary for supersymmetric Randall–Sundrum brane world scenario.