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In this paper, a new locally supersymmetric two brane RandallSundrum model is constructed. The construction starts from a D=5, N = 2 gauged Yang-Mills/Einstein/tensor supergravity theory with scalar manifold M = SO(1, 1) × SO(2, 1)/SO(2) and gauge group U(1)R × SO(2). Here, U(1)R is a subgroup of the R-symmetry group SU(2)R and SO(2) is a subgroup of the isometry group of M. Next, the U(1)R gauge coupling gR is replaced by gR sgn(x 5) and the fifth dimension is compactified on S/Z2. The conditions of local supersymmetry for the bulk plus brane system admit a Randall-Sundrum vacuum solution with constant scalars. This vacuum preserves N =2 supersymmetry in the AdS5 bulk and N = 1 supersymmetry on the Minkowski 3-branes.

Randall-Sundrum scenario from D=5, N=2 gauged Yang-Mills/Einstein/tensor supergravity