The Gauging of Five-dimensional, N=2 Maxwell-Einstein Supergravity Theories coupled to Tensor Multiplets

TL;DR

This work provides a comprehensive analysis of the most general gaugings of five-dimensional, $\mathcal{N}=2$ MESGTs when tensor multiplets are present. It distinguishes gaugings of the R-symmetry $U(1)_R$ and the scalar-manifold isometry group $G$, and studies their separate and combined effects, including dualization of charged vectors to self-dual tensors and the resulting scalar potentials. A key finding is that tensor-induced gaugings generate a non-negative potential, precluding AdS vacua from that sector alone, while AdS solutions can arise in certain mixed gaugings; the total potential in simultaneous gaugings is the sum of the individual ones. The paper also maps out a partial classification of admissible gauge groups and tensor representations across the magical and exceptional theories, revealing strong constraints and a novel class of theories with $SU(N)$-type isometries. These results have implications for AdS/CFT contexts and higher-dimensional model building, clarifying which gaugings preserve consistent supersymmetry when tensor multiplets are involved.

Abstract

We study the general gaugings of N=2 Maxwell-Einstein supergravity theories (MESGT) in five dimensions, extending and generalizing previous work. The global symmetries of these theories are of the form SU(2)_R X G, where SU(2)_R is the R-symmetry group of the N=2 Poincare superalgebra and G is the group of isometries of the scalar manifold that extend to symmetries of the full action. We first gauge a subgroup K of G by turning some of the vector fields into gauge fields of K while dualizing the remaining vector fields into tensor fields transforming in a non-trivial representation of K. Surprisingly, we find that the presence of tensor fields transforming non-trivially under the Yang-Mills gauge group leads to the introduction of a potential which does not admit an AdS ground state. Next we give the simultaneous gauging of the U(1)_R subgroup of SU(2)_R and a subgroup K of G in the presence of K-charged tensor multiplets. The potential introduced by the simultaneous gauging is the sum of the potentials introduced by gauging K and U(1)_R separately. We present a list of possible gauge groups K and the corresponding representations of tensor fields. For the exceptional supergravity we find that one can gauge the SO^*(6) subgroup of the isometry group E_{6(-26)} of the scalar manifold if one dualizes 12 of the vector fields to tensor fields just as in the gauged N=8 supergravity.