Chern-Simons AdS_5 supergravity in a Randall-Sundrum background

TL;DR

This paper explores five-dimensional Chern-Simons AdS supergravity within a Randall-Sundrum framework, modifying the action and symmetries to incorporate branes, and analyzing fermionic solutions and symmetry breaking.

Contribution

It introduces a Z_2-invariant total action for Chern-Simons AdS supergravity in a Randall-Sundrum background, including modifications to symmetries and solutions for Killing spinor equations.

Findings

Total action includes bulk and brane contributions with broken fermionic symmetry.

The model reduces to the original Randall-Sundrum setup in the gravitational sector.

Explicit solutions for Killing spinor equations in the given 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 Z_2-invariant total action S = \tilde{S}_bulk + S_brane and fermionic transformations \tilde{\delta}_\epsilon. While \tilde{\delta}_\epsilon \tilde{S}_bulk = 0, the fermionic symmetry is broken by S_brane. Our total action reduces to the original Randall-Sundrum model when \tilde{S}_bulk 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.