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 Poincaré superalgebra. This generalizes the previously studied Abelian gaugings of U(1)R⊂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.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy (miscellaneous)