General matter coupled N=2, D=5 gauged supergravity

TL;DR

The paper constructs the most general $D=5$, ${\cal N}=2$ gauged supergravity with arbitrary vector, tensor and hypermultiplet content, including gauging of the $SU(2)_R$ R-symmetry and a subgroup $K$ of the scalar-manifold isometries, using a geometric, superspace-based approach to obtain the full Lagrangian and supersymmetry rules. The scalar potential is expressed in terms of fermion shifts arising from the gaugings, and the analysis clarifies when AdS vacua or RS2-type brane-world solutions can arise, finding no new supersymmetric AdS vacua in the most general setup. The work also connects the general theory to the AdS/CFT context, particularly the Type IIB compactification on $AdS_{5}\times T^{11}$, and outlines the low-energy content and possible deformations of the dual ${\cal N}=1$ CFT. Overall, the framework provides a comprehensive tool for studying five-dimensional brane-worlds, holographic RG flows, and flux compactifications within a fully coupled ${\cal N}=2$ setting.

Abstract

We give the full lagrangean and supersymmetry transformation rules for D=5, N=2 supergravity interacting with an arbitrary number of vector, tensor and hyper-multiplets, with gauging of the R-symmetry group SU(2)_R as well as a subgroup K of the isometries of the scalar manifold. Among the many possible applications, this theory provides the setting where a supersymmetric brane-world scenario could occur. We comment on the presence of AdS vacua and BPS solutions that would be relevant towards a supersymmetric smooth realization of the Randall-Sundrum "alternative to compactification". We also add some remarks on the connection between this most general 5D fully coupled supergravity model and type IIB theory on the T^{11} manifold.