The universality class of the first levels in low-dimensional gravity

TL;DR

This paper explores the unique properties of the first excited states in low-dimensional gravity, linking them to a universal class observed in random matrix models and their implications for holography.

Contribution

It identifies and analyzes the universality class of the first energy levels in low-dimensional gravity, connecting it to random matrix models and holographic principles.

Findings

States exhibit exceptional rigidity against perturbations

Universality class observed in random matrix models

Relevance to low-dimensional holography

Abstract

We investigate the physics of a small group of quantum states defined above the sharply defined ground state of a chaotic ensemble. This `universality class of the first levels' (UFL) is realized in the majority of `synthetic' random matrix models but, for all we know, in only one microscopically defined system: low-dimensional gravity. We discuss the physical properties of these states, notably their exceptional rigidity against external perturbations, as quantified by the so-called quantum state fidelity. Examining these structures through the lenses of random matrix and string theory, we highlight their relevance to the physics of low-dimensional holographic principles.