Resonance in Asymmetric Warped Geometry

TL;DR

This paper investigates the spectrum of an asymmetric warped braneworld with different AdS curvatures, discovering a resonance state whose properties depend on the asymmetry, and explores the holographic implications of this model.

Contribution

It introduces the analysis of resonance states in asymmetric warped geometries and examines their dependence on curvature asymmetry, extending prior symmetric models.

Findings

Identified a resonance state with mass proportional to the geometric mean of AdS scales.

Showed the resonance strength varies with the asymmetry between the two AdS sides.

Numerically computed the gravitational potential and discussed holographic correspondence.

Abstract

We study the spectrum of an asymmetric warped braneworld model with different AdS curvatures on either side of the brane. In addition to the RS-like modes we find a resonance state. Its mass is proportional to the geometric mean of the two AdS curvature scales, while the difference between them determines the strength of the resonance peak. There is a complementarity between the RS zero-mode and the resonance: making the asymmetry stronger weakens the zero-mode but strengthens the resonance, and vice versa. We calculate numerically the braneworld gravitational potential and discuss the holographic correspondence for the asymmetric model.