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Holographic covering and the fortuity of black holes

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arxiv 2402.10129 v2 pith:G4E6YMIF submitted 2024-02-15 hep-th

Chi-Ming Chang , Ying-Hsuan Lin This is my paper
classification hep-th
keywords fortuitousmonotonestatesblackholographiconesbehaviorscfts
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abstract

We propose a classification of BPS states in holographic CFTs into monotone and fortuitous, based on their behaviors in the large $N$ limit. Intuitively, monotone BPS states form infinite sequences with increasing rank $N$, while fortuitous ones exist within finite ranges of consecutive ranks. A precise definition is formulated using supercharge cohomology. We conjecture that under the AdS/CFT correspondence, monotone BPS states are dual to smooth horizonless geometries, and fortuitous ones are responsible for typical black hole microstates and give dominant contributions to the entropy. We present supporting evidence for our conjectures in the ${\cal N}=4$ SYM and symmetric product orbifolds.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Equal-charge projection of the $\mathcal{N}=4$ index: exact large-$N$ formula and finite-rank $U(3)$ coefficients

    hep-th 2026-07 accept novelty 7.0 of 10

    Equal-charge projection of the N=4 index admits an exact large-N factorization into a pentagonal prefactor times the cube of the partition function, and finite-rank U(3) coefficients populate the resulting zero interv...

  2. Probing Non-Graviton Spectra in $\mathcal{N}=4$ SYM via BMN truncation and S-Duality

    hep-th 2025-06 conditional novelty 7.0 of 10

    The BMN index of N=4 SYM contains universal non-graviton bosonic towers, and the S-duality mismatch between SO(7) and Sp(3) pinpoints a non-graviton cohomology.

  3. On conformal symmetry in large-$N$ quiver mechanics

    hep-th 2026-07 conditional novelty 6.0 of 10

    At large rank N, the fixed-point formula for the quiver superconformal index equals the Ω_uneq contribution to the microscopic scaling BPS index of Beaujard–Mondal–Pioline, a piece previously invisible on the Coulomb branch.

  4. Berry Picking: Random Wave Chaos Hierarchy for BPS Microstate Geometries

    hep-th 2026-07 conditional novelty 6.0 of 10

    Wave chaos in BPS microstate geometries strengthens toward black-hole-like throats while geodesic chaos weakens, and weak-coupling CFT Renyi entropies do not share that bulk hierarchy.

  5. Loop Corrected Supercharges from Holomorphic Anomalies

    hep-th 2025-12 conditional novelty 6.0 of 10

    The complete one-loop supercharge for 4d Lagrangian SUSY gauge theories is derived in the holomorphic twist, packaged for N=4 SYM as a compact superfield formula.

  6. Instability of Black Holes in AdS$_3 \times S^3$

    hep-th 2025-07 conditional novelty 6.0 of 10

    Near-extremal AdS3 x S3 black holes are thermodynamically and dynamically unstable, decaying to a central black hole plus chiral primaries or new macroscopic giant strings.

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