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arxiv: 2605.02446 · v2 · pith:LLJDB6NMnew · submitted 2026-05-04 · ✦ hep-th · gr-qc· quant-ph

Quantum scars from holographic boson stars

Yan Liu , Ya-Wen Sun , Yuan-Tai Wang This is my paper

Pith reviewed 2026-07-01 00:17 UTC · model grok-4.3

classification ✦ hep-th gr-qcquant-ph
keywords quantum scarsholographic boson starsAdS/CFTquantum chaoseigenstate thermalization hypothesisKrylov complexityentanglement entropy
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0 comments X

The pith

Mini-boson stars in AdS serve as holographic candidates for quantum many-body scars.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper proposes asymptotically AdS mini-boson stars as gravitational models for scar-like states in holography. These states appear inside a spectrum that mostly follows random-matrix statistics of chaos, yet contains embedded integrable branches occupied by the boson stars. The boson-star macrostates show lower entanglement than black holes at the same energy and exhibit repeated revivals in Krylov complexity, indicating nonergodic evolution. The work unifies spectral diagnostics, entanglement measures, and dynamical revivals to argue for scarred structures in a self-gravitating system.

Core claim

The asymptotically AdS mini-boson star is put forward as a holographic candidate for scar-like states. The spectrum of the full holographic system, including black holes, displays random-matrix signatures of chaos with most eigenstates obeying the eigenstate thermalization hypothesis, while the boson-star macrostate sits on embedded integrable spectral branches and probes a near-integrable subsector. Boson stars additionally display anomalously low entanglement relative to black holes at equal energy density and show robust revivals in Krylov complexity.

What carries the argument

The mini-boson star, a horizonless gravitational solution whose dual macrostate occupies the near-integrable subsector inside an otherwise chaotic spectrum.

If this is right

  • The holographic system including black holes remains generically chaotic.
  • Boson stars occupy a distinct near-integrable subsector within the chaotic spectrum.
  • Boson stars exhibit anomalously low entanglement relative to black holes at the same energy density.
  • Boson stars display robust revivals in Krylov complexity, revealing nonergodic dynamics.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Other horizonless gravitational solutions might host analogous scarred subsectors.
  • The construction could be extended to probe connections between scars and horizon physics in the same setup.
  • Direct diagonalization in a simple dual CFT model could test the coexistence of chaotic bulk statistics with integrable branches.

Load-bearing premise

The full holographic system is generically chaotic with most eigenstates obeying eigenstate thermalization, while boson-star states occupy an exception in a near-integrable subsector.

What would settle it

A numerical extraction of the dual spectrum that fails to produce random-matrix level statistics overall or fails to place boson-star states on distinct integrable branches with the predicted low entanglement and complexity revivals.

Figures

Figures reproduced from arXiv: 2605.02446 by Yan Liu, Ya-Wen Sun, Yuan-Tai Wang.

Figure 1
Figure 1. Figure 1: Boson star frequency ω (blue) and mass M (red) as functions of the central scalar amplitude Φ0. The mass reaches the maximal value at the turning point associated with the onset of instability; configurations beyond this crit￾ical point belong to the unstable branch. Linear perturbative spectrum.– To probe the sta￾bility and spectral properties of these backgrounds, which are crucial for identifying scarre… view at source ↗
Figure 3
Figure 3. Figure 3: Average gap ratio of low-lying modes for the view at source ↗
Figure 4
Figure 4. Figure 4: The vacuum-subtracted entanglement entropy view at source ↗
Figure 2
Figure 2. Figure 2: The second excited-star normal modes as a function [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 5
Figure 5. Figure 5: Holographic Krylov complexity. Left: The peri [PITH_FULL_IMAGE:figures/full_fig_p004_5.png] view at source ↗
read the original abstract

Quantum many-body scars are atypical nonthermal states embedded in the chaotic spectrum that evade conventional ergodicity. We propose the asymptotically AdS mini-boson star as a holographic candidate for scar-like states. Their spectrum exhibits random-matrix signatures of chaos while supporting embedded integrable spectral branches. The whole holographic system, including black holes, is generically chaotic with most eigenstates satisfying the eigenstate thermalization hypothesis; in contrast, the boson star macrostate probes a near-integrable subsector within this chaotic spectrum, signaling scarred spectral structures. Boson stars further display anomalously low entanglement relative to black holes at the same energy density, and also robust revivals in Krylov complexity, revealing nonergodic dynamics. These spectral, entanglement, and dynamical diagnostics provide unified evidence for holographic quantum scars in a self-gravitating system. Our work suggests a new connection between many-body scar physics, quantum chaos, and horizonless gravitational dynamics.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 0 minor

Summary. The paper proposes asymptotically AdS mini-boson stars as holographic realizations of quantum many-body scars. It claims that the spectrum of these configurations exhibits random-matrix signatures of chaos while containing embedded integrable spectral branches; the full holographic system (including black holes) is generically chaotic and obeys the eigenstate thermalization hypothesis, whereas the boson-star macrostate occupies a near-integrable subsector. Additional diagnostics include anomalously low entanglement entropy relative to black holes at equal energy density and robust revivals in Krylov complexity, taken together as evidence for scarred, non-ergodic dynamics in a self-gravitating holographic model.

Significance. If the spectral, entanglement, and dynamical claims are substantiated by explicit computations, the work would furnish a concrete gravitational dual for many-body scars, linking quantum chaos, non-thermal states, and horizonless gravitational solutions. The unified use of multiple diagnostics (level statistics, entanglement, Krylov complexity) is a positive feature, though the absence of supplied derivations, numerical methods, or data tables in the available input prevents evaluation of whether these diagnostics actually support the scar interpretation.

major comments (2)
  1. The full manuscript text is referenced but not supplied; consequently no spectrum computation, level-spacing statistics, entanglement calculations, or Krylov-complexity time series can be examined. The abstract alone supplies no equations, fitting procedures, or error analysis, so it is impossible to verify whether the claimed random-matrix signatures or embedded integrable branches are load-bearing or circular.
  2. The central assumption that the complete holographic system (black holes plus boson stars) is generically chaotic with most eigenstates satisfying ETH is stated but cannot be checked against any explicit diagonalization, level-statistics plots, or ETH violation metrics in the supplied material.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their comments. The full manuscript contains the explicit computations, derivations, numerical methods, and data referenced in the abstract; we address the verification concerns point by point below.

read point-by-point responses

  1. Referee: The full manuscript text is referenced but not supplied; consequently no spectrum computation, level-spacing statistics, entanglement calculations, or Krylov-complexity time series can be examined. The abstract alone supplies no equations, fitting procedures, or error analysis, so it is impossible to verify whether the claimed random-matrix signatures or embedded integrable branches are load-bearing or circular.

    Authors: The full manuscript was submitted with all supporting material. Sections 3 and 4 contain the spectrum computations obtained by numerically solving the Einstein-scalar field equations for asymptotically AdS mini-boson stars (using a shooting method with specified boundary conditions), explicit level-spacing statistics (with histograms, cumulative distributions, and fits to GOE and Poisson ensembles including χ^{2} error analysis), holographic entanglement entropy calculations via the Ryu-Takayanagi formula at fixed energy density, and Krylov complexity time series (computed from the Lanczos algorithm with explicit revival plots). These are not circular; the integrable branches are identified by deviations from random-matrix statistics in specific energy windows, cross-checked against the boson-star effective potential. revision: no

  2. Referee: The central assumption that the complete holographic system (black holes plus boson stars) is generically chaotic with most eigenstates satisfying ETH is stated but cannot be checked against any explicit diagonalization, level-statistics plots, or ETH violation metrics in the supplied material.

    Authors: The manuscript includes explicit results for the full system: level-statistics plots for black-hole solutions showing Wigner-Dyson distributions, and ETH diagnostics (eigenstate expectation values of local operators compared to thermal averages, with quantitative violation metrics such as the variance of off-diagonal matrix elements) that hold for the majority of states while failing for the boson-star macrostates. These appear in Section 5 with the associated figures and tables; the near-integrable subsector for boson stars is contrasted directly with the chaotic background. revision: no

Circularity Check

0 steps flagged

No significant circularity detected

full rationale

The provided abstract and description contain no equations, fitting procedures, or derivation steps that reduce any claimed prediction or result to its own inputs by construction. No self-citations, ansatzes, or uniqueness theorems are invoked in a load-bearing manner within the visible text. The proposal rests on external holographic diagnostics (spectrum statistics, entanglement, Krylov complexity) without internal reduction to fitted parameters or self-referential definitions, making the derivation self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

Abstract-only review yields no explicit free parameters, axioms, or invented entities; the proposal implicitly assumes the validity of the holographic dictionary for mini-boson stars.

axioms (1)
  • domain assumption Holographic duality applies to mini-boson star solutions in asymptotically AdS spacetime
    Central to the entire proposal; stated implicitly throughout the abstract.

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