Chern-Simons AdS5 supergravity in a Randall-Sundrum background
Abstract
Chern-Simons AdS supergravity theories are gauge theories for the super-AdS group. These theories possess a fermionic symmetry which differs from standard supersymmetry. In this paper, we study five-dimensional Chern-Simons AdS supergravity in a Randall-Sundrum scenario with two Minkowski 3-branes. After making modifications to the D = 5 Chern-Simons AdS supergravity action and fermionic symmetry transformations, we obtain a Z2-invariant total action S = Sbulk + Sbrane and fermionic transformations δε. While δε Sbulk = 0, the fermionic symmetry is broken by Sbrane. Our total action reduces to the original Randall-Sundrum model when Sbulk is restricted to its gravitational sector. We solve the Killing spinor equations for a bosonic configuration with vanishing su(N) and u(1) gauge fields.