Gauging the Full R-Symmetry Group in Five-dimensional, N=2 Yang-Mills/Einstein/tensor Supergravity

TL;DR

This paper demonstrates how to gauge the full SU(2)_R symmetry in five-dimensional N=2 supergravity theories, extending previous work on Abelian gaugings and revealing new scalar potentials with unique properties.

Contribution

It generalizes the gauging of R-symmetry in five-dimensional N=2 supergravity to include the full SU(2)_R group, completing the classification of gauge interactions in these theories.

Findings

Full SU(2)_R gauging is possible only in special cases.

Gauging leads to new scalar potentials with no critical points in many theories.

Completes the construction of general vector and tensor coupled supergravity theories.

Abstract

We show that certain five dimensional, N=2 Yang-Mills/Einstein supergravity theories admit the gauging of the full R-symmetry group, SU(2)_R, of the underlying N=2 Poincare superalgebra. This generalizes the previously studied Abelian gaugings of U(1)_R subgroup of SU(2)_R and completes the construction of the most general vector and tensor field coupled five dimensional N=2 supergravity theories with gauge interactions. The gauging of SU(2)_R turns out to be possible only in special cases, and leads to a new type of scalar potential. For a large class of these theories the potential does not have any critical points.