Abstract
In this paper, a new locally supersymmetric two brane Randall-Sundrum 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) x SO(2,1) / SO(2) and gauge group U(1)_R x 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 g_R is replaced by g_R sgn(x^5) and the fifth dimension is compactified on S^1 / Z_2. 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 AdS_5 bulk and N=1 supersymmetry on the Minkowski 3-branes.
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