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

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.