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The spectrum of near-BPS Kerr-Newman black holes and the ABJM mass gap

T0 review · 2 major / 6 minor · reviewed 2026-08-11 · deepseek-v4-flash

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Pith's one-line read Near-BPS Kerr-Newman black holes in AdS4 reduce to an N=2 super-Schwarzian theory, fixing an N^{-3/2} gap in the ABJM spectrum.

desk verdict Solid extension of the near-BPS Schwarzian program to AdS4/ABJM with a genuine new prediction, but the printed sign of the mass gap is internally inconsistent and the missing second-order coefficients leave the central claim unverified. read the letter →

arxiv 2412.03697 v2 pith:I4LM2KI4 submitted 2024-12-04 hep-th gr-qc

Matthew Heydeman , Chiara Toldo This is my paper · ORCID
classification hep-thgr-qc PACS 04.70.Dy11.25.Tq
keywords near-extremalblackholesKerr-NewmanAdS4N=2JTgravitysuper-SchwarzianABJMsuperconformalindexmassgapS4/CFT3
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

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

The reading

The paper sets out to show that the low-temperature thermodynamics of a supersymmetric, rotating, electrically charged black hole in four-dimensional anti-de Sitter space is not described by naive semiclassical gravity: quantum fluctuations of the near-horizon AdS2 throat are strong and must be resummed. It argues that in a mixed grand-canonical/canonical ensemble the correct low-energy description is the N=2 super-Schwarzian theory with SU(1,1|1) symmetry, a two-dimensional boundary theory whose partition function is known exactly. Applied to ABJM, the dual three-dimensional superconformal theory of M2-branes, this predicts an exactly degenerate set of $e^{S_*}$ BPS states at the BPS scaling dimension, a mass gap of order $N^{-3/2}$, and a continuous density of states above the gap. Because the same calculation reproduces the large-$N$ superconformal index and the black hole area law at large energy, the proposal offers a way to compute the average spectrum of unprotected operators in a strongly coupled CFT at low temperature.

What carries the argument

The load-bearing object is the N=2 super-Schwarzian (equivalently N=2 JT) partition function, the boundary mode of the near-horizon AdS2 throat that survives as the soft gravitational fluctuation. Its exact form is $Z_{\mathcal{N}=2\,\mathrm{JT}}(\beta,\alpha;r,\vartheta)=\sum_{m\in\frac{1}{r}\mathbb{Z}} e^{ir\vartheta m}\frac{2\cos(\pi(\alpha+m))}{\pi(1-4(\alpha+m)^2)}e^{S_0+\frac{2\pi^2}{\beta M_{SU(1,1|1)}}(1-4(\alpha+m)^2)}$, where the prefactor is the one-loop determinant and the exponential is the re-summed Gibbons-Hawking free energy. The paper fixes the effective field theory data not by a full dimensional reduction but by matching the low-temperature expansion of the AdS4 Kerr-Newman on-shell action to this form, yielding the mass scale $M_{\mathrm{gap}}$, and by using ABJM charge quantization and anomaly arguments to fix $r=1$ and $\vartheta=0$. This object is what turns the classical thermodynamics into a fully quantum partition function, from which the density of states is extracted by Laplace transform.

What would settle it

Compute the one-loop determinant of 4d N=2 gauged supergravity around the near-horizon AdS2 throat of the Kerr-Newman solution: if any light mode contributes a temperature dependence different from the Schwarzian term in (3.32), or if the coefficient disagrees with $M_{\mathrm{gap}}$ in (3.31), the extracted density of states and the $N^{-3/2}$ gap are invalid.

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Extended reading notes

Core claim

The central claim is that the reduced gravitational path integral for the AdS4 Kerr-Newman black hole in the near-BPS regime is, up to non-universal corrections, the partition function of N=2 JT supergravity with SU(1,1|1) symmetry, Eq. (1.1), with the extremal entropy $S_*$ as $S_0$, a scale $M_{\mathrm{gap}}$ playing the role of $M_{SU(1,1|1)}$, and the ABJM-specific discrete parameters $r=1$, $\vartheta=0$. Expanding the black hole on-shell action around the BPS limit produces $I_{\mathrm{ME}} = -S_* - 4\pi i\alpha R_* - \frac{2\pi^2}{\beta M_{\mathrm{gap}}}(1-4\alpha^2)$, whose $\alpha$-dependence fixes the holonomy spectrum of the $U(1)_R$ gauge field. The Laplace transform then yields the density of supermultiplets (4.29): for $R=R_*$ there is a Dirac delta of weight $e^{S_*}$ at $\Delta=\Delta_{\mathrm{BPS}}$ followed by a $\sinh$-shaped continuum starting at $\Delta_{\mathrm{BPS}}+\Delta_{\mathrm{gap}}$ with $\Delta_{\mathrm{gap}}=M_{\mathrm{gap}}/32=O(N^{-3/2})$, while for $R\neq R_*$ the density of states vanishes at zero temperature and the continuum starts at a per-charge gap. At $\alpha=1/2$ the partition function reduces exactly to the large-$N$ superconformal index, $Z=(-1)^{2R_*}e^{S_*}$, so the BPS degeneracy is not an artifact of index cancellations.

Load-bearing premise

The paper assumes, without carrying out a full dimensional reduction, that the low-temperature sector of the full gravitational theory is exactly the N=2 super-Schwarzian mode with $r=1$ and $\vartheta=0$ and that no other light fields contribute at leading order.

Editorial extensions

If this is right

  • If the central claim is correct, the near-BPS spectrum of ABJM at fixed charge $R_*$ is fully determined: $e^{S_*}$ BPS states at $\Delta_{\mathrm{BPS}}$, no microstates inside a gap of width $\Delta_{\mathrm{gap}}=O(N^{-3/2})$, and a continuous sinh-shaped density above it.
  • For charge sectors with $R\neq R_*$, the density of states starts at a finite energy and vanishes as $T\to 0$, meaning there are no extremal black hole microstates in those sectors.
  • The large-$N$ superconformal index is recovered with no Bose-Fermi cancellations, so the BPS degeneracy is genuinely $e^{S_*}$ and the index does not hide a vanishing ground state count.
  • At large energies the same density of states reproduces the black hole area law, while at low energies it is consistent with the random-matrix statistics of the SU(1,1|1) ensemble, unifying thermodynamic and spectral descriptions.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • If the Schwarzian sector is universal across M-theory compactifications, the same density formula should hold with $M_{\mathrm{gap}}$ and $R_*$ computed per compactification, so the gap value but not its qualitative shape would change.
  • The $N^{-3/2}$ gap is parametrically larger than the exponentially small level spacing of non-BPS operators, so corrections from finite gauge coupling are unlikely to wash it out; a small-$N$ numerical computation of the ABJM supercharge spectrum could look for the start of the continuum at the predicted gap.
  • The paper implicitly identifies the non-BPS density (4.33) as the onset of random-matrix behavior; a direct check would be to compute the spectral form factor of the SU(1,1|1) ensemble and see whether its late-time plateaus match the BPS degeneracy $e^{S_*}$.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

2 major / 6 minor

Summary. The paper studies the near-BPS limit of rotating, electrically charged Kerr-Newman black holes in AdS4 minimal gauged supergravity, viewed as a consistent truncation of 11-dimensional supergravity on S^7 dual to ABJM. The authors argue that the low-temperature gravitational path integral around the BPS solution is governed by an N=2 super-Schwarzian / JT theory with SU(1,1|1) symmetry, whose parameters S*, R*, and M_gap are fixed by a low-temperature expansion of the mixed-ensemble on-shell action in Sec. 3.4. Combining this with the exact N=2 JT partition function, they extract a density of supermultiplets in Eq. (4.29) consisting of e^{S*} BPS states at Δ_BPS, a gap Δ_gap = M_gap/32, and a continuum, and they provide the analogous non-BPS density in Eq. (4.33). The paper also checks consistency with the large-N superconformal index of ABJM and with the Bekenstein-Hawking entropy at large energies.

Significance. If correct, the paper gives a concrete, falsifiable prediction for the coarse-grained spectrum of ABJM near the BPS bound: a discrete BPS degeneracy, a mass gap of order N^{-3/2}, and a random-matrix-like continuum. The final density-of-states formulas are explicit and internally structured, and the recovery of the superconformal index from the Schwarzian partition function is a genuine consistency check. The identification of r=1 and ϑ=0 from ABJM data is also a useful step. The main weakness is that the reduction from the four-/eleven-dimensional theory to N=2 JT is assumed rather than derived; this is acknowledged in Sec. 1 and Sec. 3.3, but it remains the load-bearing premise. In addition, the sign inconsistency in Eq. (3.31) means that, as written, the headline gap is negative; this must be resolved before the physical claim can be evaluated.

major comments (2)
  1. [§3.4, Eq. (3.31); §4.2, Eq. (4.28)] The two expressions for M_gap^{-1} in Eq. (3.31) are not equivalent. Writing c = coth δ*, the first denominator is G(2-c)(c^2+4c-4), while the second is G(2-c)(4-c(c+4)) = -G(2-c)(c^2+4c-4). For the BPS range 1 < c < 2 both factors (2-c) and (c^2+4c-4) are positive, so the two expressions have opposite signs. Equation (4.28) then uses the second, negative form, giving Δ_gap = M_gap/32 < 0. A negative gap would place the continuum below the BPS energy Δ_BPS, violating the BPS bound and contradicting the stated spectrum. Since the second-order expansion coefficients that determine this coefficient are explicitly not reported, the reader cannot tell whether this is a typo or an actual sign error in the expansion. This must be corrected, and the missing coefficients supplied, before the central claim is supported.
  2. [§1 and §3.3] The paper's central premise is that the low-temperature dynamics of the full AdS4 × S^7 / ABJM system is exactly the boundary N=2 super-Schwarzian mode with r=1, ϑ=0, with all other light fields integrated out. This premise is not derived: Sec. 1 states that a dimensional reduction is technically unwieldy and that the authors instead use semiclassical thermodynamics and symmetries, and Sec. 3.3 explicitly sets aside the one-loop determinants of the higher-dimensional theory. The later use of the exact N=2 JT partition function in Eq. (3.22) does not by itself establish that no other modes contribute at leading order. This is a correctness risk rather than an internal inconsistency, but it is load-bearing: any additional light mode or a different U(1)_R bundle would change M_gap and the extracted density of states. A concrete check would be to compute the one-loop determinants of the gravitino and graviphoton in the near-horizon AdS2 × S^2 truncation, or to match the log T coefficient against an independent near-extremal calculation.
minor comments (6)
  1. [Introduction, p. 6] The sentence 'This behavior is displayed in in Fig 1' contains a duplicated 'in'; it should read 'displayed in Fig. 1'.
  2. [§3.3, p. 18] The phrase 'this strategy has a a few disadvantages' contains a duplicated article; it should read 'has a few disadvantages'.
  3. [§3.3, p. 20] The text says 'the later case indicates an anomaly'; this should be 'the latter case indicates an anomaly'.
  4. [§3.4, Eq. (3.31)] Independently of the sign issue, Eq. (3.31) would benefit from an explicit statement of the allowed range of δ* (or c = coth δ*) for which the BPS solution exists and the gap is positive; Eq. (4.28) should likewise state this range.
  5. [§4.1, Eq. (4.14)] The integration constant is written as 'Z_{β→∞} δ_{ZSch,0}', which mixes a number with a Kronecker delta in a notation that is ambiguous; please clarify that the first term is the β → ∞ limit of the ZSch = 0 contribution.
  6. [§3.3, p. 18] The statement 'We have already determined r=1 from the microscopic partition function' is stronger than the preceding discussion supports; the text only rules out fractional R-charges among elementary fields. A brief explanation of why this rules out fractional charges in the large-charge sector relevant to the black hole would be helpful.

Circularity Check

0 steps flagged · score 2.0 of 10

No significant circularity: parameters are fixed by the classical black-hole solution and external N=2 JT results, not by the target ABJM spectrum.

full rationale

Walking the derivation chain, the paper does not fit any parameter to the ABJM spectrum. The classical data entering the effective theory — S*, Q*/R*, and M_gap — are computed directly from the Kerr-Newman-AdS4 solution (Secs. 2.1 and 3.4, Eqs. (2.19), (3.30), (3.31)); the effective description is taken to be the SU(1,1|1) Schwarzian theory whose exact partition function (3.22) is imported from the independent external works [9,10]. The density of states (4.29) is then obtained by a Laplace transform of this partition function, with the gap scale E_gap = M_gap/32 (Eqs. (4.15), (4.26)). None of these steps uses the ABJM density of states or the index as an input: r=1 is fixed by the charge quantization and shift invariance of the CFT partition function (Eqs. (3.14)-(3.15)), and ϑ=0 is cited to the external Sasaki-Einstein statement [39]. The recovery of the large-N index (Eqs. (4.19), (4.25)) is a consistency check against [30], not an input. The self-authored references [5,13] provide methodological precedent for identifying the Schwarzian sector, but the quantitative output does not reduce to them. Thus no circular step is exhibited. Two caveats are flagged for completeness, though they are not circularity: (i) Sec. 3.4 explicitly omits the second-order expansion coefficients ('The expressions for the second order coefficients are highly involved and we do not report them here'), and (ii) as printed, Eq. (3.31) gives two expressions for M_gap^{-1} that differ by a sign because 4 - coth δ*(coth δ*+4) = -(coth^2 δ* + 4 coth δ* - 4); Eq. (4.28) uses the negative denominator, which would make Δ_gap negative for all allowed δ*, contradicting the claimed gap. These are correctness risks that would need repair, but they do not make the derivation circular.

Assumptions & free parameters 0 free parameters · 5 assumptions · 0 invented entities

The paper's contribution is parameter matching and spectral extraction inside an existing framework; it introduces no new particles, forces, dimensions, or conserved quantities. The only inputs beyond the classical solution are the two discrete parameters r and ϑ, which are fixed by ABJM properties, not fitted to the target spectrum.

assumptions (5)
  • domain assumption The 11d M-theory background AdS4 x S7 truncates consistently to 4d N=2 minimal gauged supergravity, so the Kerr-Newman solutions capture the relevant black holes.
    Invoked in Section 2 via the relation G = 3/(2 sqrt(2)) N^{-3/2} and references to the de Wit-Nicolai consistent truncation; standard in the AdS4/CFT3 literature.
  • ad hoc to paper The near-horizon dynamics of the near-extremal black hole is governed by the boundary N=2 super-Schwarzian mode with SU(1,1|1), with all other fields integrated out at leading order.
    This is the central working hypothesis; Section 1 says the authors argue for the IR EFT from symmetries and thermodynamics rather than computing the dimensional reduction.
  • domain assumption The exact N=2 JT partition function (3.22) from Stanford-Witten and Mertens-Turiaci-Verlinde is correct and applies to this system.
    Equation (3.22) is imported from [9,10] and used for the 1-loop determinant and mass-gap structure.
  • domain assumption ABJM charge quantization fixes J = R_a mod 1, giving r=1, and the S7 reduction has no 4d theta term, giving ϑ=0.
    Section 3.3 determines r=1 from the microscopic partition function and ϑ=0 from the absence of a theta term in S7 compactifications [39]; these parameters affect the density of states.
  • domain assumption In the mixed ensemble with j fixed and q_i=0, the near-extremal black hole is the dominant saddle in the large N, low T limit.
    Section 3.3 constructs the mixed ensemble to isolate the black hole saddle; the paper does not analyze competing horizonless or hairy saddles.

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Pith. "Pith review of The spectrum of near-BPS Kerr-Newman black holes and the ABJM mass gap." pith.science (2026). https://pith.science/paper/I4LM2KI4

@misc{pith2026241203697,
  author       = {Pith},
  title        = {Pith review of: The spectrum of near-BPS Kerr-Newman black holes and the ABJM mass gap},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/I4LM2KI4}},
  note         = {Machine review of arXiv:2412.03697}
}
abstract

Supersymmetric rotating 1/16-BPS black holes in $AdS_4 \times S^7$ are expected to capture the average degeneracy of BPS states in the dual ABJM superconformal theory for given fixed charges. This has been successfully demonstrated for the superconformal index using complexified black hole metrics, but a naive Gibbons-Hawking calculation of the actual degeneracies in the low temperature limit is invalid due to large quantum fluctuations of the near horizon $AdS_2$ metric. We argue that in a particular mixed grand/canonical ensemble, these fluctuations of the near-BPS Kerr-Newman black holes are described by a version of the $\mathcal{N}=2$ super-Schwarzian theory with $SU(1,1|1)$ symmetry. Using this description as well as properties of ABJM, we recover the large $N$ superconformal index and find a characteristic ``mass gap'' of order $N^{-3/2}$ between the 1/16-BPS states and the lightest near BPS state. We further make a prediction for the operator dimension spectrum above the gap in the large $N$, low $T$ limit. Our results are consistent with the Bekenstein-Hawking formula at large energies, random matrix theory at low energies, and the microscopic index.

Figures

Figures reproduced from arXiv: 2412.03697 by the authors.

Figure 1
Figure 1. Graph (a) displays the density of states, Eq. ( [PITH_FULL_IMAGE:figures/full_fig_p009_1.png] view at source ↗

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Forward citations

Cited by 1 Pith paper

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

  1. Mixed 't Hooft Anomalies and the Witten Effect for AdS Black Holes

    hep-th 2024-12 conditional novelty 7.0 of 10

    Near-BPS dyonic AdS4 black holes with a theta angle show a Witten-effect charge shift that reduces the mass gap and the index, and at the special angle both the Bekenstein-Hawking entropy and the supersymmetric index ...

Reference graph

Works this paper leans on

71 extracted references · 12 canonical work pages · cited by 1 Pith paper

  1. [1]

    Strominger and C

    A. Strominger and C. Vafa,Microscopic origin of the Bekenstein-Hawking entropy, Phys. Lett. B379 (1996) 99–104 [hep-th/9601029]

    arXiv 1996

  2. [2]

    Preskill, P

    J. Preskill, P. Schwarz, A. D. Shapere, S. Trivedi and F. Wilczek,Limitations on the statistical description of black holes, Mod. Phys. Lett. A6 (1991) 2353–2362

    work page 1991

  3. [3]

    Ghosh, H

    A. Ghosh, H. Maxfield and G. J. Turiaci,A universal Schwarzian sector in two-dimensional conformal field theories, JHEP 05 (2020) 104 [1912.07654]

    arXiv 2020

  4. [4]

    L. V. Iliesiu and G. J. Turiaci,The statistical mechanics of near-extremal black holes, JHEP 05 (2021) 145 [2003.02860]

    arXiv 2021

  5. [5]

    Heydeman, L

    M. Heydeman, L. V. Iliesiu, G. J. Turiaci and W. Zhao,The statistical mechanics of near-BPS black holes, J. Phys. A55 (2022), no. 1 014004 [2011.01953]. 30

    arXiv 2022

  6. [6]

    Teitelboim,Gravitation and Hamiltonian Structure in Two Space-Time Dimensions, Phys

    C. Teitelboim,Gravitation and Hamiltonian Structure in Two Space-Time Dimensions, Phys. Lett. B126 (1983) 41–45

    work page 1983

  7. [7]

    Jackiw,Lower Dimensional Gravity, Nucl

    R. Jackiw,Lower Dimensional Gravity, Nucl. Phys. B252 (1985) 343–356

    work page 1985

  8. [8]

    Maldacena, D

    J. Maldacena, D. Stanford and Z. Yang,Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space, PTEP 2016 (2016), no. 12 12C104 [1606.01857]

    arXiv 2016

Show all 71 references
  1. [9]

    Stanford and E

    D. Stanford and E. Witten,Fermionic Localization of the Schwarzian Theory, JHEP 10 (2017) 008 [1703.04612]

    2017 arXiv

  2. [10]

    T. G. Mertens, G. J. Turiaci and H. L. Verlinde,Solving the Schwarzian via the Conformal Bootstrap, JHEP 08 (2017) 136 [1705.08408]

    2017 arXiv

  3. [11]

    L. V. Iliesiu, S. Murthy and G. J. Turiaci,Revisiting the Logarithmic Corrections to the Black Hole Entropy, 2209.13608

    arXiv

  4. [12]

    Banerjee and M

    N. Banerjee and M. Saha,Revisiting leading quantum corrections to near extremal black hole thermodynamics, JHEP 07 (2023) 010 [2303.12415]

    2023 arXiv

  5. [13]

    Boruch, M

    J. Boruch, M. T. Heydeman, L. V. Iliesiu and G. J. Turiaci,BPS and near-BPS black holes in AdS5 and their spectrum inN = 4 SYM, 2203.01331

    arXiv

  6. [14]

    Chang, L

    C.-M. Chang, L. Feng, Y.-H. Lin and Y.-X. Tao,Decoding stringy near-supersymmetric black holes, SciPost Phys. 16 (2024), no. 4 109 [2306.04673]

    2024 arXiv

  7. [15]

    Cabo-Bizet,The Schwarzian from gauge theories, 2404.01540

    A. Cabo-Bizet,The Schwarzian from gauge theories, 2404.01540

    arXiv

  8. [16]

    Y. Chen, H. W. Lin and S. H. Shenker,BPS Chaos, 2407.19387

    arXiv

  9. [17]

    Kapec, A

    D. Kapec, A. Sheta, A. Strominger and C. Toldo,Logarithmic Corrections to Kerr Thermodynamics, 2310.00848

    arXiv

  10. [18]

    Rakic, M

    I. Rakic, M. Rangamani and G. J. Turiaci,Thermodynamics of the near-extremal Kerr spacetime, 2310.04532

    arXiv

  11. [19]

    Maulik, L

    S. Maulik, L. A. Pando Zayas, A. Ray and J. Zhang,Universality in logarithmic temperature corrections to near-extremal rotating black hole thermodynamics in various dimensions, JHEP 06 (2024) 034 [2401.16507]. 31

    2024 arXiv

  12. [20]

    Kapec, Y

    D. Kapec, Y. T. A. Law and C. Toldo,Quasinormal Corrections to Near-Extremal Black Hole Thermodynamics, 2409.14928

  13. [21]

    Kolanowski, D

    M. Kolanowski, D. Marolf, I. Rakic, M. Rangamani and G. J. Turiaci,Looking at extremal black holes from very far away, 2409.16248

  14. [22]

    Zaffaroni,AdS black holes, holography and localization, Living Rev

    A. Zaffaroni,AdS black holes, holography and localization, Living Rev. Rel.23 (2020), no. 1 2 [1902.07176]

    2020 arXiv

  15. [23]

    L. J. Romans,Supersymmetric, cold and lukewarm black holes in cosmological Einstein-Maxwell theory, Nucl. Phys. B383 (1992) 395–415 [hep-th/9203018]

    1992 arXiv

  16. [24]

    V. A. Kostelecky and M. J. Perry,Solitonic black holes in gauged N=2 supergravity, Phys. Lett. B371 (1996) 191–198 [hep-th/9512222]

    1996 arXiv

  17. [25]

    M. M. Caldarelli and D. Klemm,Supersymmetry of Anti-de Sitter black holes, Nucl. Phys. B 545 (1999) 434–460 [hep-th/9808097]

    1999 arXiv

  18. [26]

    Aharony, O

    O. Aharony, O. Bergman, D. L. Jafferis and J. Maldacena,N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals, JHEP 10 (2008) 091 [0806.1218]

    2008 arXiv

  19. [27]

    Kim,The Complete superconformal index for N=6 Chern-Simons theory, Nucl

    S. Kim,The Complete superconformal index for N=6 Chern-Simons theory, Nucl. Phys. B 821 (2009) 241–284 [0903.4172]. [Erratum: Nucl.Phys.B 864, 884 (2012)]

    2009 arXiv

  20. [28]

    S. Choi, C. Hwang and S. Kim,Quantum vortices, M2-branes and black holes, 1908.02470

    1908 arXiv

  21. [29]

    Nian and L

    J. Nian and L. A. Pando Zayas,Microscopic entropy of rotating electrically charged AdS4 black holes from field theory localization, JHEP 03 (2020) 081 [1909.07943]

    2020 arXiv

  22. [30]

    Benetti Genolini, A

    P. Benetti Genolini, A. Cabo-Bizet and S. Murthy,Supersymmetric phases of AdS4/CFT3, JHEP 06 (2023) 125 [2301.00763]

    2023 arXiv

  23. [31]

    Witten,Topological Sigma Models, Commun

    E. Witten,Topological Sigma Models, Commun. Math. Phys.118 (1988) 411

    1988

  24. [32]

    Benini, K

    F. Benini, K. Hristov and A. Zaffaroni,Black hole microstates in AdS4 from supersymmetric localization, JHEP 05 (2016) 054 [1511.04085]

    2016 arXiv

  25. [33]

    Heydeman and C

    M. Heydeman and C. Toldo,Mixed ’t Hooft Anomalies and the Witten Effect for AdS Black Holes, 2412.03695. 32

    arXiv

  26. [34]

    Castro and E

    A. Castro and E. Verheijden,Near-AdS2 Spectroscopy: Classifying the Spectrum of Operators and Interactions in N=2 4D Supergravity, Universe 7 (2021), no. 12 475 [2110.04208]

    2021 arXiv

  27. [35]

    Almheiri and J

    A. Almheiri and J. Polchinski,Models of AdS2 backreaction and holography, JHEP 11 (2015) 014 [1402.6334]

    2015 arXiv

  28. [36]

    Nayak, A

    P. Nayak, A. Shukla, R. M. Soni, S. P. Trivedi and V. Vishal,On the Dynamics of Near-Extremal Black Holes, JHEP 09 (2018) 048 [1802.09547]

    2018 arXiv

  29. [37]

    Moitra, S

    U. Moitra, S. P. Trivedi and V. Vishal,Extremal and near-extremal black holes and near-CFT1, JHEP 07 (2019) 055 [1808.08239]

    2019 arXiv

  30. [38]

    Moitra, S

    U. Moitra, S. K. Sake, S. P. Trivedi and V. Vishal,Jackiw-Teitelboim Gravity and Rotating Black Holes, JHEP 11 (2019) 047 [1905.10378]

    2019 arXiv

  31. [39]

    P. B. Genolini,Wrapped M5-branes and complex saddle points, JHEP 01 (2022) 181 [2110.15955]

    2022 arXiv

  32. [40]

    Benetti Genolini and C

    P. Benetti Genolini and C. Toldo,Magnetic charge and black hole supersymmetric quantum statistical relation, Phys. Rev. D107 (2023), no. 12 L121902 [2304.00605]

    2023 arXiv

  33. [41]

    D. Z. Freedman and A. K. Das,Gauge Internal Symmetry in Extended Supergravity, Nucl. Phys. B120 (1977) 221–230

    1977

  34. [42]

    E. S. Fradkin and M. A. Vasiliev,Model of Supergravity with Minimal Electromagnetic Interaction,

  35. [43]

    de Wit and H

    B. de Wit and H. Nicolai,The Consistency of the S**7 Truncation in D=11 Supergravity, Nucl. Phys. B281 (1987) 211–240

    1987

  36. [44]

    J. P. Gauntlett and O. Varela,Consistent Kaluza-Klein reductions for general supersymmetric AdS solutions, Phys. Rev. D76 (2007) 126007 [0707.2315]

    2007 arXiv

  37. [45]

    Sen,Logarithmic Corrections to N=2 Black Hole Entropy: An Infrared Window into the Microstates, Gen

    A. Sen,Logarithmic Corrections to N=2 Black Hole Entropy: An Infrared Window into the Microstates, Gen. Rel. Grav.44 (2012), no. 5 1207–1266 [1108.3842]

    2012 arXiv

  38. [46]

    Carter,Hamilton-Jacobi and Schrodinger separable solutions of Einstein’s equations, Commun

    B. Carter,Hamilton-Jacobi and Schrodinger separable solutions of Einstein’s equations, Commun. Math. Phys.10 (1968), no. 4 280–310. 33

    1968

  39. [47]

    Papadimitriou and K

    I. Papadimitriou and K. Skenderis,Thermodynamics of asymptotically locally AdS spacetimes, JHEP 08 (2005) 004 [hep-th/0505190]

    2005 arXiv

  40. [48]

    Compère,The Kerr/CFT correspondence and its extensions, Living Rev

    G. Compère,The Kerr/CFT correspondence and its extensions, Living Rev. Rel.15 (2012) 11 [1203.3561]

    2012 arXiv

  41. [49]

    J. M. Bardeen and G. T. Horowitz,The Extreme Kerr throat geometry: A Vacuum analog of AdS(2) x S**2, Phys. Rev. D60 (1999) 104030 [hep-th/9905099]

    1999 arXiv

  42. [50]

    Guica, T

    M. Guica, T. Hartman, W. Song and A. Strominger,The Kerr/CFT Correspondence, Phys. Rev. D80 (2009) 124008 [0809.4266]

    2009 arXiv

  43. [51]

    Hristov, A

    K. Hristov, A. Tomasiello and A. Zaffaroni,Supersymmetry on Three-dimensional Lorentzian Curved Spaces and Black Hole Holography, JHEP 05 (2013) 057 [1302.5228]

    2013 arXiv

  44. [52]

    Aharony, F

    O. Aharony, F. Benini, O. Mamroud and E. Milan,A gravity interpretation for the Bethe Ansatz expansion of theN = 4 SYM index, Phys. Rev. D104 (2021) 086026 [2104.13932]

    2021 arXiv

  45. [53]

    Hristov, C

    K. Hristov, C. Toldo and S. Vandoren,On BPS bounds in D=4 N=2 gauged supergravity, JHEP 12 (2011) 014 [1110.2688]

    2011 arXiv

  46. [54]

    Larsen and S

    F. Larsen and S. Paranjape,Thermodynamics of near BPS black holes in AdS4 and AdS7, JHEP 10 (2021) 198 [2010.04359]

    2021 arXiv

  47. [55]

    W. Fu, D. Gaiotto, J. Maldacena and S. Sachdev,Supersymmetric Sachdev-Ye-Kitaev models, Phys. Rev. D95 (2017), no. 2 026009 [1610.08917]. [Addendum: Phys.Rev.D 95, 069904 (2017)]

    2017 arXiv

  48. [56]

    Heydeman, G

    M. Heydeman, G. J. Turiaci and W. Zhao,Phases of N = 2 Sachdev-Ye-Kitaev models, JHEP 01 (2023) 098 [2206.14900]

    2023 arXiv

  49. [57]

    Sen,Arithmetic of Quantum Entropy Function, JHEP 08 (2009) 068 [0903.1477]

    A. Sen,Arithmetic of Quantum Entropy Function, JHEP 08 (2009) 068 [0903.1477]

    2009 arXiv

  50. [58]

    Mandal and A

    I. Mandal and A. Sen,Black Hole Microstate Counting and its Macroscopic Counterpart, Class. Quant. Grav.27 (2010) 214003 [1008.3801]

    2010 arXiv

  51. [59]

    Sen,Logarithmic Corrections to Rotating Extremal Black Hole Entropy in Four and Five Dimensions, Gen

    A. Sen,Logarithmic Corrections to Rotating Extremal Black Hole Entropy in Four and Five Dimensions, Gen. Rel. Grav.44 (2012) 1947–1991 [1109.3706]. 34

    2012 arXiv

  52. [60]

    Banerjee, M

    N. Banerjee, M. Saha and S. Srinivasan,Logarithmic corrections for near-extremal black holes, JHEP 2024 (2024) 077 [2311.09595]

    2024 arXiv

  53. [61]

    Karan, G

    S. Karan, G. S. Punia and S. Biswas,Logarithmic correction to the entropy of black holes in STU supergravity, 2403.11823

    arXiv

  54. [62]

    J. D. Brown and J. W. York, Jr.,The Microcanonical functional integral. 1. The Gravitational field, Phys. Rev. D47 (1993) 1420–1431 [gr-qc/9209014]

    1993 arXiv

  55. [63]

    S. W. Hawking and S. F. Ross,Duality between electric and magnetic black holes, Phys. Rev. D52 (1995) 5865–5876 [hep-th/9504019]

    1995 arXiv

  56. [64]

    Kapec, R

    D. Kapec, R. Mahajan and D. Stanford,Matrix ensembles with global symmetries and ’t Hooft anomalies from 2d gauge theory, JHEP 04 (2020) 186 [1912.12285]

    2020 arXiv

  57. [65]

    G. J. Turiaci and E. Witten,N = 2 JT supergravity and matrix models, JHEP 12 (2023) 003 [2305.19438]

    2023 arXiv

  58. [66]

    Benini, D

    F. Benini, D. Gang and L. A. Pando Zayas,Rotating Black Hole Entropy from M5 Branes, JHEP 03 (2020) 057 [1909.11612]

    2020 arXiv

  59. [67]

    Bobev, M

    N. Bobev, M. David, J. Hong, V. Reys and X. Zhang,A compendium of logarithmic corrections in AdS/CFT, JHEP 04 (2024) 020 [2312.08909]

    2024 arXiv

  60. [68]

    P. Saad, S. H. Shenker and D. Stanford,JT gravity as a matrix integral, 1903.11115

    1903 arXiv

  61. [69]

    H. W. Lin, J. Maldacena, L. Rozenberg and J. Shan,Looking at supersymmetric black holes for a very long time, SciPost Phys. 14 (2023), no. 5 128 [2207.00408]

    2023 arXiv

  62. [70]

    S. Kim, S. Kundu, E. Lee, J. Lee, S. Minwalla and C. Patel,Grey Galaxies’ as an endpoint of the Kerr-AdS superradiant instability, JHEP 11 (2023) 024 [2305.08922]

    2023 arXiv

  63. [71]

    S. Choi, D. Jain, S. Kim, V. Krishna, E. Lee, S. Minwalla and C. Patel,Dual Dressed Black Holes as the end point of the Charged Superradiant instability inN = 4 Yang Mills, 2409.18178. 35

    arXiv

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Reviewed August 11, 2026 · model on record in the stance chip above.