Energy Transport for Thick Holographic Branes

TL;DR

This paper introduces a novel method to compute energy transmission in thick holographic branes by discretizing smooth geometries, extending thin-brane results to more general domain-wall solutions in 3D gravity.

Contribution

It presents a new approach to analyze energy transport in thick holographic branes by approximating smooth geometries with discrete branes, enabling calculations for complex domain-wall solutions.

Findings

Derived a formula for energy transmission in thick branes

Applied method to Janus interface and obtained transmission coefficient

Extended thin-brane results to smooth domain-wall geometries

Abstract

Universal properties of two-dimensional conformal interfaces are encoded by the flux of energy transmitted and reflected during a scattering process. We develop an innovative method that allows us to use results for the energy transmission in thin-brane holographic models to find the energy transmission for general smooth domain-wall solutions of three-dimensional gravity. Our method is based on treating the continuous geometry as a discrete set of branes. As an application, we compute the transmission coefficient of a Janus interface in terms of its deformation parameter.