An ω deformation of gauged STU supergravity

Four-dimensional N = 2 gauged STU supergravity is a consistent truncation of the standard N = 8 gauged SO(8) supergravity in which just the four U(1) gauge fields in the Cartan subgroup of SO(8) are retained. One of these is the graviphoton in the N = 2 supergravity multiplet and the other three lie in three vector multiplets. In this paper we carry out the analogous consistent truncation of the newly-discovered family of ω-deformed N = 8 gauged SO(8) supergravities, there by obtaining a family of ω-deformed STU gauged supergravities. Unlike in some other truncations of the deformed N = 8 supergravity that have been considered, here the scalar potential of the deformed STU theory is independent of the ω parameter. However, it enters in the scalar couplings in the gauge-field kinetic terms, and it is non-trivial because of the minimal couplings of the fermion fields to the gauge potentials. We discuss the supersymmetry transformation rules in the ω-deformed supergravities, and present some examples of black hole solutions.