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 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.

15 pages, Latex with no figures. Revised Version is with minor changes: Some previous statement about duality transformation has been corrected, while some clarifications of the difference from the conventional formulations, and of the meaning of 'irreducibility' of our supergravity mutliplet are added

References in corpus (4)

• A Large Mass Hierarchy from a Small Extra Dimension
• String Theory and Noncommutative Geometry
• Minimal Off-Shell Supergravity in Five Dimensions
• Gauged N=2 Off-Shell Supergravity in Five Dimensions

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