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

TL;DR

This paper explores the general gaugings of five-dimensional N=2 supergravity theories with tensor multiplets, revealing new potential structures and gauge group possibilities, including the gauging of SO^*(6) in exceptional supergravity.

Contribution

It extends previous work by analyzing gaugings involving tensor fields and introduces new potential terms and gauge group configurations, including the gauging of SO^*(6).

Findings

Tensor fields lead to potentials without AdS ground states.

Simultaneous gauging of U(1)_R and K yields additive potentials.

Gauging SO^*(6) in exceptional supergravity is possible with tensor dualization.

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.