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

EasyChair Preprint 11488

11 pagesDate: December 8, 2023

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

BibTeX entry
BibTeX does not have the right entry for preprints. This is a hack for producing the correct reference:
@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}}
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