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Finite $N$ black hole cohomologies

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arxiv 2312.16443 v2 pith:5S5QBMCY submitted 2023-12-27 hep-th

Jaehyeok Choi , Sunjin Choi , Seok Kim , Jehyun Lee , Siyul Lee This is my paper · ORCID
classification hep-th
keywords blackholetheorycohomologiesoperatorsthresholdapparentargue
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abstract

We study new cohomologies for the BPS operators of the $\mathcal{N}=4$ Yang-Mills theory with $SU(3)$ and $SU(4)$ gauge groups, to better understand the black hole microstates. We first study the index of these black hole operators and identify their apparent threshold levels. For $SU(3)$, we find many towers of states and partial no-hair behaviors. We explicitly construct the threshold cohomology in the $SU(3)$ theory. We study throughout this paper a subsector of the field theory corresponding to the BMN matrix theory. We also argue that the BMN sector exhibits a black hole like entropy growth at large $N$.

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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. 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.

  4. 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.

  5. Conformal Mapping of Non-Lorentzian Geometries in SU(1,2) Conformal Field Theory

    hep-th 2024-11 reject novelty 6.0 of 10

    An explicit conformal mapping is derived between null-reduced R times S^3 and Omega-deformed Minkowski TNC geometries, giving the state-operator generator map H0 = (R^2 H + C/R^2 - J - N)/2 in SU(1,2) non-Lorentzian CFTs.

  6. Bosonic Fortuity in Vector Models

    hep-th 2025-04 conditional novelty 5.0 of 10

    For U(N) vector models, primary invariants number f^2 for f≤N and N^2+2N(f−N) for f>N, with secondary invariants appearing and growing as e^{2N log 2 f}.

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