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

arXiv2 min read

arXiv:2505.18957v2 Announce Type: replace-cross 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.

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.

High Energy Physics - Theory (hep-th); Disordered Systems and Neural Networks (cond-mat.dis-nn); Quantum Physics (quant-ph)

arXiv:2505.18957 [hep-th]

(or arXiv:2505.18957v2 [hep-th] for this version)

https://doi.org/10.48550/arXiv.2505.18957 Focus to learn more arXiv-issued DOI via DataCite

Phys. Rev. Lett. 135, 121601 (2025)

https://doi.org/10.1103/5tn7-knd7 Focus to learn more DOI(s) linking to related resources

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