Supersymmetric branes with (almost) arbitrary tensions

We present a supersymmetric version of the two-brane Randall-Sundrum scenario, with arbitrary brane tensions $T_1$ and $T_2,$ subject to the bound $|T_{1,2}|<~\sqrt{-6{\Lambda }_5},$ where ${\Lambda }_5<0\mathrm{}$ is the bulk cosmological constant. Dimensional reduction gives $N=1,$ $D=4\mathrm{}$ supergravity, with the cosmological constant ${\Lambda }_4$ in the range $\frac{1}{2}{\Lambda }_5<~{\Lambda }_4<~0.$ The case with ${\Lambda }_4=0\mathrm{}$ requires $T_1=-T_2=\sqrt{-6{\Lambda }_5}.$ This work unifies and generalizes previous approaches to the supersymmetric Randall-Sundrum scenario. It also shows that the Randall-Sundrum fine-tuning is not a consequence of supersymmetry.