A Transfer Matrix Method for Resonances in Randall-Sundrum Models II: The Deformed Case

TL;DR

This paper investigates how deformed topological defect membranes in Randall-Sundrum models influence the resonance spectra of gauge, gravity, and spinor fields, using a transfer matrix method to numerically analyze these effects.

Contribution

It introduces a deformation procedure for domain walls that alters the potential in Schrödinger-like equations, affecting resonance spectra in Randall-Sundrum scenarios.

Findings

Deformed defects significantly modify resonance spectra.

Resonance phenomenology is impacted by defect deformation.

Transfer matrix method effectively computes resonance spectra.

Abstract

Here we consider resonances of the Gauge, Gravity and Spinor fields in Randall-Sundrum-like scenarios. We consider membranes that are generated by a class of topological defects that are deformed domain walls obtained from other previously known ones. They are obtained by a deformation procedure generate different potentials to the associated Schr\"odinger-like equation. The resonance spectra are calculated numerically using the method of Transfer Matrix developed by the authors and presented in JHEP 1108 (2011) 071. The new deformed defects change the resonances spectra of all fields considered and the associated phenomenology as well.