Disordered Holographic Systems II: Marginal Relevance of Imperfection

TL;DR

This paper investigates how mild electric disorder affects (2+1)-dimensional holographic conformal field theories, revealing that such disorder is marginally relevant through renormalization group analysis.

Contribution

It extends previous work by analyzing the marginal relevance of electric disorder at subleading order in holographic systems.

Findings

Electric disorder is marginally relevant in (2+1)D holographic CFTs.

Renormalization group flow shows disorder grows slowly at low energies.

Study advances understanding of disorder effects in holographic models.

Abstract

We continue our study of quenched disorder in holographic systems, focusing on the effects of mild electric disorder. By studying the renormalization group evolution of the disorder distribution at subleading order in perturbations away from the clean fixed point, we show that electric disorder is marginally relevant in (2+1)-dimensional holographic conformal field theories.