Holographic evolution of gauge couplings

TL;DR

This paper investigates how gauge couplings evolve in a Randall-Sundrum model with bulk gauge bosons, using holographic duality to interpret one-loop corrections in both boundary condition and Higgs breaking scenarios.

Contribution

It provides a detailed calculation of scalar loop corrections to gauge couplings in a holographic framework, confirming duality predictions for different GUT symmetry breaking mechanisms.

Findings

Scalar loop corrections match holographic dual predictions

Results are consistent across boundary condition and Higgs breaking scenarios

Enhances understanding of gauge coupling evolution in warped extra dimensions

Abstract

We study the gauge coupling evolution of a unified theory in the compact Randall-Sundrum model with gauge bosons propagating in the bulk. One-loop corrections in AdS are interpreted in the 4d dual theory as the sum of two contributions: CFT insertions subleading in a 1/N expansion and loops of the additional particles coupled to the CFT. We have calculated the scalar loop correction to the low energy gauge couplings both in scenarios where the GUT symmetry is broken by boundary conditions and with the Higgs mechanism. In each case our results are what expected from the holographic dual theory.