Supersymmetrizing branes with bulk in five-dimensional supergravity

We supersymmetrize a class of moduli dependent potentials living on branes with the help of additional bulk terms in 5d N=2 supergravity. The resulting theories are gauged supergravities with specific relations between bulk and brane cosmological potentials. The space of Poincaré invariant vacuum solutions includes the Randall–Sundrum solution and the M-theoretical solution. After adding gauge sectors to the branes we discuss breakdown of low energy supersymmetry in this setup and hierarchy of physical scales.