Physics of warped dimensions: discrete and continuous spectra

Using two different warped five-dimensional (5D) models with two branes along the extra dimension, we study the Green’s functions and the spectral properties of some of the fields propagating in the bulk. While the first model has a discrete spectrum of Kaluza-Klein (KK) modes, the second one has a continuous spectrum above a mass gap. We also study the positivity of the spectral functions, as well as the coupling of the graviton and the radion with SM matter fields.