High Energy Particle Physics

    

Identification of Universal Features in the Conductivity of Classes of Two-Dimensional QFTs Using the Ads/cft Correspondence

Authors: Matthew Stephenson

We study the electrical conductivity of strongly disordered, strongly coupled quantum fieldtheories, holographically dual to non-perturbatively disordered uncharged black holes. The computation reduces to solving a diffusive hydrostatic equation for an emergent horizonfluid. 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-drivenconductor-insulator transitions in many theories. We present a (fine-tuned) axion-dilatonbulk theory which realizes the conductor-insulator transition, interpreted as a classical percolation transition in the horizon fluid. We address aspects of strongly disordered holographythat can and cannot be addressed via mean-field modeling, such as massive gravity.

Comments: 7 Pages.

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Submission history

[v1] 2023-04-18 11:15:07

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