Identification of Universal Features in the Conductivity of Classes of Two-Dimensional QFTs Using the AdS/CFT Correspondence

EasyChair Preprint 11488

Abstract

We study the electrical conductivity of strongly disordered, strongly coupled quantum field theories, holographically dual to nonperturbatively disordered uncharged black holes. The computation reduces to solving a diffusive hydrostatic equation for an emergent horizon fluid. We demonstrate that a large class of theories in two spatial dimensions have a universal conductivity independent of disorder strength, and rigorously rule out disorder-driven conductorinsulator transitions in many theories. We present a (fine-tuned) axiondilaton bulk theory which realizes the conductor-insulator transition, interpreted as a classical percolation transition in the horizon fluid. We address aspects of strongly disordered holography that can and cannot be addressed via mean-field modeling, such as massive gravity.

Keyphrases: High Energy Physics, condensed matter, theory

@booklet{EasyChair:11488,
  author    = {Matthew James Stephenson and Anna Maria Wojtyra},
  title     = {Identification of Universal Features in the Conductivity of Classes of Two-Dimensional QFTs Using the AdS/CFT Correspondence},
  howpublished = {EasyChair Preprint 11488},
  year      = {EasyChair, 2023}}