Geometry, physics, and phenomenology of the Randall-Sundrum model

This review is devoted to a discussion of the geometry and physics of the Randall-Sundrum model with two branes. The main focus is on its phenomenologically acceptable stabilized version. For this model, the second variation Lagrangian is constructed, its gauge invariance is studied, corresponding equations of motion are derived and decoupled, and physical degrees of freedom are explicitly isolated. For the stabilized model, possible phenomenological manifestations in experiments at the Tevatron and LHC are discussed for cases in which the center-of-mass energy is below or above the production threshold of the first Kaluza-Klein tensor resonance.