Alternative N=2 Supergravity in Singular Five Dimensions with Matter/Gauge Couplings

TL;DR

This paper develops an extended five-dimensional N=2 supergravity model incorporating matter and gauge couplings, including new fields related to superstring theory, and generalizes it to singular space-times.

Contribution

It introduces a novel supergravity framework with specific matter multiplets and gauge groups, extending previous models and accommodating singular five-dimensional geometries.

Findings

Constructed a supergravity model with matter and gauge couplings.

Included matter multiplets forming specific coset spaces.

Generalized the theory to singular 5D space-times.

Abstract

We present an extended study of our previous work on an alternative five-dimensional N=2 supergravity theory that has a single antisymmetric tensor and a dilaton as a part of supergravity multiplet. The new fields are natural Neveu-Schwarz massless fields in superstring theory. Our total matter multiplets include n copies of vector multiplets forming the sigma-model coset space SO(n,1) / SO(n), and n' copies of hypermultiplets forming the quaternionic K\"ahler manifold Sp(n',1) / Sp(n') X Sp(1). We complete the couplings of matter multiplets to supergravity with the gauged group of the type SO(2) X Sp(n') X Sp(1) X H X [ U(1) ]^{n-p+1} for an arbitrary gauge group H with p = dim H + 1, and the isotropy group Sp(n') X Sp(1) of the coset Sp(n',1) / Sp(n') X Sp(1) formed by the hypermultiplets. We also describe the generalization to singular 5D space-time as in the conventional formulation