Alternative N=2 Supergravity in Five Dimensions with Singularities

TL;DR

This paper introduces an alternative formulation of N=2 supergravity in five dimensions that simplifies couplings and includes singular space-time generalizations, relevant for brane world models.

Contribution

It presents a new supergravity multiplet with a single antisymmetric tensor and dilaton, removing Chern-Simons constraints and enabling singular space-time extensions.

Findings

Supergravity multiplet contains a single antisymmetric tensor and dilaton.

Elimination of explicit Chern-Simons terms simplifies vector multiplet couplings.

Generalization to singular 5D space-time for brane world scenarios.

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 sigma-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 Kahler manifold Sp(n',1) / Sp(n') X 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.