Abstract :
In this paper, a new locally supersymmetric two brane Randall–Sundrum model is constructed. The construction starts from a image, image gauged Yang–Mills/Einstein/tensor supergravity theory with scalar manifold image and gauge group image. Here, image is a subgroup of the R-symmetry group image and image is a subgroup of the isometry group of image. Next, the image gauge coupling image is replaced by image and the fifth dimension is compactified on image. The conditions of local supersymmetry for the bulk plus brane system admit a Randall–Sundrum vacuum solution with constant scalars. This vacuum preserves image supersymmetry in the image bulk and image supersymmetry on the Minkowski 3-branes.