Randall-Sundrum Model for Self-Tuning the Cosmological Constant

The vanishing cosmological constant in the four-dimensional space-time is obtained in a 5D Randall-Sundrum model with a brane (B1) located at $y=0\mathrm{}$. The matter fields can be located at the brane. For settling any vacuum energy generated at the brane to zero, we need a three-index antisymmetric tensor field $A_{\mathrm{MNP}}$ with a specific form for the Lagrangian. For the self-tuning mechanism, the bulk cosmological constant should be negative.