Universal Entropy and Hawking Radiation of Near-Extremal AdS$_4$ Black Holes

Jun Nian; Marina David

REVIEW

Universal Entropy and Hawking Radiation of Near-Extremal AdS$_4$ Black Holes

Marina David, Jun Nian

High Energy Physics - Theory · Submitted 25 Sep 2020 · 73 references

Pith's verdict: The two gravity-side derivations match and are worth reporting; the boundary-ABJM match is normalized by fiat, so the three-way universality claim is overstated.

T0 · AI review

How this review was made: An AI referee (deepseek-v4-flash) read the paper on August 27, 2026 and answered a fixed list of questions about it. T0 is the starting level every paper gets. The levels describe how deeply Pith has checked the paper, never the authors.

T0 AI review An AI read the paper and answered a fixed list of questions.
T1 Audit Automatic checks that the references and files the paper relies on exist and match.
T2 Compute The paper's code or calculations re-run with the same results.
T3 Formal statement The claims written out in a formal math language a computer can read.
T4 Proof Those claims proved, and the proof checked by computer.

How Pith checks papers →

· 3 major objections · 4 minor · Ask about this paper · The compiled record · Read the full review →

Challenge this review Comment (0) Read on arXiv ↗

Cite ▾

arXiv ID2009.12370 (version 3)

Pith IDTGKQDPJZ, Pith's permanent record of this paper and its review

CitationJun Nian, Marina David. "Universal Entropy and Hawking Radiation of Near-Extremal AdS$_4$ Black Holes." arXiv:2009.12370 (2020). https://pith.science/paper/TGKQDPJZ

Cite this reviewBibTeX for Pith's review of this paper

Claim paper

Why Pith says this

Highlight any text to comment on it.

Editor's note

read the letter

Quick take: the gravity and near-horizon CFT2 legs of this triangle are solid and worth reporting; the boundary-ABJM leg is not independent. The paper's headline three-way exact match should be read with caution until Eq. (2.88) is derived.

What is new: this is a concrete near-extremal AdS4 extension of the BPS entropy program. The expansion around the BPS solution and the Kerr/CFT Cardy computation both give the same formula S = S* + (C/TH)_* TH, with c_L = c_R and T_R proportional to T_H derived cleanly. I particularly like the removal of the cutoff ambiguity in the right central charge via the light-cone scaling; the two independent evaluations of c_L and c_R are a useful consistency check. The algebra is heavy but straightforward, and the paper credits the relevant previous work.

The soft spot is Sec. 2.5. The relation 2πi δT_H = 2η appears without derivation. As written it is also dimensionally inconsistent: η is dimensionless because it is defined by δQ_I = η Q_I, while δT_H carries mass dimension. A scale such as g is missing, or the equation is a pure normalization choice. Either way it fixes the coefficient of δS in Eq. (2.89), so the exact match of method (iii) is not a parameter-free prediction. The choice of h in Eq. (2.77) is likewise not unique, and the paper does not show the correction is independent of that choice. The restriction to δ1 = δ2 also undercuts the word 'universal' in the abstract and title. Separately, Section 3's conclusion that the scattering picture implies no information loss overreaches: the right-sector computation gives a thermal spectrum, not a solution to the information paradox, and the paper itself later concedes the global AdS structure is ignored.

Who is this for? People working on near-extremal AdS black holes, Kerr/CFT, and microstate counting will find the explicit expressions useful, and the gap in method (iii) is an interesting target for future work. It deserves a serious referee; the central two-way match is sound, and the boundary CFT issue is addressable in revision. My recommendation: send it out, but ask for a derivation or at least an honest discussion of the η–δT_H normalization, a check of h-dependence, and a toned-down summary.

Referee report

Significance

If the boundary-CFT derivation were fully independent, the three-way match would be a valuable quantitative test of near-extremal Kerr/CFT and of ABJM microstate counting beyond the BPS limit. The paper has several concrete strengths: the central charge cL is computed in two independent ways and the two results agree (Eqs. (2.44) and (2.46)); the right temperature TR is fixed through hidden conformal symmetry rather than by a cut-off prescription; and the gravity expansion (2.14)-(2.18) gives an explicit, checkable prediction. However, the significance of the claimed three-way match is currently conditional because method (iii) imports the overall normalization of the near-extremal correction from Eq. (2.88), which is asserted rather than derived from ABJM. The central claim is therefore defensible but not yet established at the level of independence claimed in the abstract.

Major objections (3)

[Sec. 2.5, Eq. (2.88)] The relation 2πi δT_H = 2η is introduced without derivation immediately after the scaling transformation (2.87), and it is dimensionally inconsistent as written: η is dimensionless because δQ_I = η Q_I, while δT_H has mass dimension. Since the resulting entropy correction (2.89) is linear in η, and the target gravity result is linear in δT_H, Eq. (2.88) fixes the overall coefficient of the near-extremal correction by fiat. The boundary computation therefore does not independently reproduce (C/TH)_*; it absorbs that normalization from outside. The authors need to derive (2.88) from the ABJM theory, or show that it follows from the first law and the scaling (2.87), before the three-way match can be claimed as a parameter-free prediction.
[Sec. 2.5, Eqs. (2.76)-(2.77)] The constraint function h is not unique; the paper itself notes after Eq. (2.76) that the constraint can be multiplied by a constant or a regular function. The specific prefactor J^2/[4g^5(Q1+Q2)^2] in Eq. (2.77) is not derived from any physical principle. Since δS computed from (2.86)-(2.89) is linear in δh, and δh changes under h -> f(Q,J) h, the final coefficient can be altered by the choice of f. The authors must show that the near-extremal entropy correction is independent of this choice, or derive the canonical h from a first-principles condition; otherwise method (iii) contains a tunable function rather than a prediction.
[Sec. 2.2, after Eq. (2.13)] The statement that setting δ2 = δ1 is 'without loss of generality' is not correct: the two electric charges Q1 and Q2 are independent parameters of the black hole family, and the BPS entropy before this restriction depends on both δ1 and δ2 as in Eq. (2.70). Setting δ1=δ2 restricts the family to a one-parameter slice, and the universal formulas (2.18), (2.55) and (2.89) depend only on δ1. The claim of universality for 'electrically charged rotating AdS4 black holes' should be qualified to this equal-charge slice, or the computation should be extended to δ1≠δ2.

Minor objections (4)

[Sec. 2.3] There are several typos: 'Poincar´e coodinates' below Eq. (2.25), 'condition conditions' before Eq. (2.23), and the parameter b in Eq. (2.53) is not defined in the text.
[Sec. 2.5, Eqs. (2.82)-(2.84)] The intermediate step (2.83) is written incorrectly: for purely imaginary δh, Im(δΛ) is real and cannot equal δh times a real expression, which is imaginary as written. The final formula (2.84) is consistent if one uses Im(δΛ) = -i δh Re[1/(2C - 2i√(C/A)(B-2C/A))], but as printed the displayed equality in (2.83) is not valid.
[Sec. 3] The sentence 'therefore there is no information loss during the Hawking radiation process' is an interpretation rather than a derivation; the computation leading to (3.15) describes a thermal spectrum in a unitary dual theory but does not by itself demonstrate the absence of information loss.
[Sec. 2.4, Eq. (2.47)] The quasi-local charge method for cR is presented but then abandoned because of the un-fixed cut-off Λ0; a brief remark on why this approach is not used in the final result would improve clarity.

How Pith checks papers → · Full audit of this paper →

The paper

The paper claims

The paper argues that near-extremal electrically charged rotating AdS4 black holes obey one universal entropy formula, S = S* + (C/TH)*TH, reproduced exactly by gravity, the near-horizon Kerr/CFT correspondence, and ABJM microstate…

The reading

This paper claims that the Bekenstein-Hawking entropy of a near-extremal, electrically charged, rotating AdS4 black hole is fixed, at leading order in the Hawking temperature TH, by the BPS data through S = S* + (C/TH)*TH, with explicit formulas S* = 2π $g^{{-2}}$($e^{{4δ1}}$-3) and (C/TH)* = 8√2 $π^{2}$($e^{{4δ1}}$-1)^{3/2}[$g^{3}$($e^{{4δ1}}$-3)($e^{{8δ1}}$+$10e^{{4δ1}}$-7)]^{-1}. It then claims that the same expression is produced exactly by three independent routes: a direct expansion of the gravity solution around the BPS black hole, a near-extremal Kerr/CFT calculation using the Cardy formula with left and right central charges, and a microstate count in the boundary ABJM theory. Because the three calculations agree, the paper concludes that a near-horizon two-dimensional conformal field theory accounts for the microstates, and that the same CFT gives a microscopic, unitary description of Hawking radiation as thermal emission from the right-moving sector. The result matters because it extends the established BPS/extremal entropy matching into the near-extremal regime and offers a microscopic starting point for black hole evaporation in AdS4.

What carries the argument

The load-bearing identity is the linear near-extremal expansion S = S* + (C/TH)*TH, where the ratio (C/TH)* = (dS/dTH)* is evaluated in the BPS limit and is the single quantity all three methods must reproduce. The argument is carried by the near-horizon geometry obtained through the Bardeen-Horowitz scaling, a circle fibration over AdS2 whose asymptotic symmetry algebra yields the Kerr/CFT central charges and whose hidden conformal symmetry fixes the Frolov-Thorne temperatures. On the field-theory side, the boundary computation uses the ABJM entropy function, a quartic equation for a Lagrange multiplier Λ whose imaginary root gives the BPS entropy; the near-extremal correction comes from perturbing that equation, with the temperature dependence entering through the relation 2πiδTH = 2η.

Extended reading notes

Core claim

The paper's central discovery is a universal near-extremal entropy formula for electrically charged rotating AdS4 black holes in the equal-charge sector δ1 = δ2: S_BH = S* + (C/TH)*TH with S* = 2π $g^{{-2}}$($e^{{4δ1}}$-3) and (C/TH)* = 8√2 $π^{2}$($e^{{4δ1}}$-1)^{3/2}[$g^{3}$($e^{{4δ1}}$-3)($e^{{8δ1}}$+$10e^{{4δ1}}$-7)]^{-1}. The same expression is obtained from the gravity-side expansion, from a Kerr/CFT Cardy computation in which the left and right central charges are equal, c_L = c_R = 24√2($e^{{4δ1}}$-1)[$g^{2}$($e^{{8δ1}}$+$10e^{{4δ1}}$-7)]^{-1}, with the right Frolov-Thorne temperature proportional to TH, and from perturbing the ABJM entropy function. The authors take the equality as evidence that a near-horizon CFT2 describes these black holes, and they derive a Hawking radiation rate from the right sector proportional to the horizon area times the Planckian factor $e^{{-k0/TR}}$/(1-$e^{{-k0/TR}}$), which they argue is unitary.

Load-bearing premise

The load-bearing premise is that the boundary ABJM calculation may assume a fixed proportionality between its perturbation parameter and the gravitational change in Hawking temperature; if the ABJM theory does not determine that normalization on its own, the exact match between the boundary computation and the two gravity-side computations is partly engineered.

Editorial extensions

If this is right

If the three-way match is right, the near-extremal entropy of these black holes is determined by BPS data plus one temperature, with no new free parameters in the leading correction.
The Kerr/CFT correspondence, originally formulated for extremal black holes, applies to near-extremal AdS4 black holes, with equal left and right central charges and a right temperature proportional to the Hawking temperature.
Hawking radiation from near-extremal AdS4 black holes has a microscopic description as emission from the right-moving sector of the near-horizon CFT2, with a thermal spectrum and a rate proportional to the horizon area.
The universal picture that held for BPS AdS black holes now extends to near-extremal ones, supporting the existence of a near-horizon CFT2 for a broader class of AdS black holes.
The boundary ABJM microstate count fixes the near-extremal heat capacity, so the temperature correction is a genuine microstate prediction and not only a gravity-side fit.

Reading between the lines

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

If the universal formula is right, the leading near-extremal correction is fixed by BPS data alone, so any independent microscopic model that reproduces the BPS entropy will automatically reproduce the temperature correction without extra input.
Computing the O(TH^2) term in the ABJM perturbed entropy function would test whether the universality extends beyond the linear approximation or whether the three-way match is a leading-order coincidence.
Deriving the relation between the CFT perturbation parameter and δTH from the ABJM partition function itself would convert the three-way match into a parameter-free prediction; until then, the boundary computation carries one undetermined normalization.
The same near-extremal expansion should apply to AdS5, AdS6 and AdS7 near-BPS black holes, and the AdS4 case is the clearest place to check whether the outer-horizon radius alone fixes (C/TH)*.

Original abstract

We compute the Bekenstein-Hawking entropy of near-extremal asymptotically AdS$_4$ electrically charged rotating black holes using three different methods: (i) from the gravity solution, (ii) from the near-horizon Kerr/CFT correspondence and (iii) from the boundary conformal field theory. The results from these three different approaches match exactly, giving us a unique and universal expression for the entropy and the microstate counting of near-extremal AdS black holes via the AdS/CFT correspondence. In the second method, we extend the Kerr/CFT correspondence to the near-extremal case to compute the left and right central charges. We also use hidden conformal symmetry of the near-horizon geometry to compute the Frolov-Thorne temperatures. From the results of the near-extremal AdS$_4$ black hole entropy, we provide a microscopic foundation for Hawking radiation.

The compiled record

The paper's own sentences, arranged, kept beside the review and separate from it. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,401 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.05 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.14 · compares with prior results 0.77 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; show every role.

We compute the Bekenstein-Hawking entropy of near-extremal asymptotically AdS$_4$ electrically charged rotating black holes using three different methods: (i) from the gravity solution, (ii) from the near-horizon Kerr/CFT correspondence and (iii) from the boundary conformal field theory. The results from these three different approaches match exactly, giving us a unique and universal expression for the entropy and the microstate counting of near-extremal AdS black holes via the AdS/CFT correspondence. In the second method, we extend the Kerr/CFT correspondence to the near-extremal case to compute the left and right central charges. We also use hidden conformal symmetry of the near-horizon geometry to compute the Frolov-Thorne temperatures. From the results of the near-extremal AdS$_4$ black hole entropy, we provide a microscopic foundation for Hawking radiation.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We compute the Bekenstein-Hawking entropy of near-extremal asymptotically AdS$_4$ electrically charged rotating black holes using three different methods: (i) from the gravity solution, (ii) from the near-horizon Kerr/CFT correspondence and (iii) from the boundary conformal field theory.	contribution 0.67	0.96	0.08	asserted 1.00
s1	The results from these three different approaches match exactly, giving us a unique and universal expression for the entropy and the microstate counting of near-extremal AdS black holes via the AdS/CFT correspondence.	result 0.96	0.94	0.87	asserted 1.00
s2	In the second method, we extend the Kerr/CFT correspondence to the near-extremal case to compute the left and right central charges.	method 0.93	0.95	0.04	asserted 1.00
s3	We also use hidden conformal symmetry of the near-horizon geometry to compute the Frolov-Thorne temperatures.	method 0.98	0.94	0.03	asserted 1.00
s4	From the results of the near-extremal AdS$_4$ black hole entropy, we provide a microscopic foundation for Hawking radiation.	interpretation 0.80	0.90	0.19	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

What was examined, and what was not

sources read

arXiv listing abstract v3

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

not run

S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

References

Works cited (73)

[1]

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

View on Pith Pith review arXiv 1996
[2]

J. M. Maldacena, “The Large N limit of superconformal ﬁeld theories and supergravity,” Int. J. Theor. Phys. 38 (1999) 1113–1133, arXiv:hep-th/9711200 [hep-th] . [Adv. Theor. Math. Phys.2,231(1998)]

View on Pith Pith review arXiv 1999
[3]

E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys. 2 (1998) 253–291, arXiv:hep-th/9802150 [hep-th]

View on Pith Pith review arXiv 1998
[4]

F. Benini, K. Hristov, and A. Zaﬀaroni, “Black hole microstates in AdS 4 from supersymmetric localization,” JHEP 05 (2016) 054, arXiv:1511.04085 [hep-th]

View on Pith Pith review arXiv 2016
[5]

A. Cabo-Bizet, D. Cassani, D. Martelli, and S. Murthy, “Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS 5 black holes,” JHEP 10 (2019) 062, arXiv:1810.11442 [hep-th]

View on Pith Pith review arXiv 2019
[6]

S. Choi, J. Kim, S. Kim, and J. Nahmgoong, “Large AdS black holes from QFT,” arXiv:1810.12067 [hep-th]

View on Pith Pith review arXiv
[7]

F. Benini and P. Milan, “Black Holes in 4D N =4 Super-Yang-Mills Field Theory,” Phys. Rev. X 10 no. 2, (2020) 021037, arXiv:1812.09613 [hep-th]

View on Pith Pith review arXiv 2020
[8]

S. Choi and S. Kim, “Large AdS 6 black holes from CFT 5,” arXiv:1904.01164 [hep-th]

View on Pith Pith review arXiv 1904
[9]

G. K´ antor, C. Papageorgakis, and P. Richmond, “AdS7 black-hole entropy and 5D N = 2 Yang-Mills,” JHEP 01 (2020) 017, arXiv:1907.02923 [hep-th]

View on Pith Pith review arXiv 2020
[10]

J. Nahmgoong, “6d superconformal Cardy formulas,” arXiv:1907.12582 [hep-th] . – 21 –

View on Pith Pith review arXiv 1907
[11]

S. Choi, C. Hwang, and S. Kim, “Quantum vortices, M2-branes and black holes,” arXiv:1908.02470 [hep-th]

View on Pith Pith review arXiv 1908
[12]

J. Nian and L. A. Pando Zayas, “Microscopic entropy of rotating electrically charged AdS 4 black holes from ﬁeld theory localization,” JHEP 03 (2020) 081, arXiv:1909.07943 [hep-th]

View on Pith Pith review arXiv 2020
[13]

A. Cabo-Bizet and S. Murthy, “Supersymmetric phases of 4d N“ 4 SYM at large N,” arXiv:1909.09597 [hep-th]

View on Pith Pith review arXiv 1909
[14]

N. Bobev and P. M. Crichigno, “Universal spinning black holes and theories of class R,” JHEP 12 (2019) 054, arXiv:1909.05873 [hep-th]

View on Pith Pith review arXiv 2019
[15]

F. Benini, D. Gang, and L. A. Pando Zayas, “Rotating Black Hole Entropy from M5 Branes,” JHEP 03 (2020) 057, arXiv:1909.11612 [hep-th]

View on Pith Pith review arXiv 2020
[16]

S. M. Hosseini, K. Hristov, and A. Zaﬀaroni, “Microstates of rotating AdS 5 strings,” JHEP 11 (2019) 090, arXiv:1909.08000 [hep-th]

View on Pith Pith review arXiv 2019
[17]

S. Choi and C. Hwang, “Universal 3d Cardy Block and Black Hole Entropy,” JHEP 03 (2020) 068, arXiv:1911.01448 [hep-th]

View on Pith Pith review arXiv 2020
[18]

P. M. Crichigno and D. Jain, “The 5d Superconformal Index at Large N and Black Holes,” JHEP 09 (2020) 124, arXiv:2005.00550 [hep-th]

View on Pith Pith review arXiv 2020
[19]

M. Guica, T. Hartman, W. Song, and A. Strominger, “The Kerr/CFT Correspondence,” Phys. Rev. D80 (2009) 124008, arXiv:0809.4266 [hep-th]

View on Pith Pith review arXiv 2009
[20]

H. Lu, J. Mei, and C. N. Pope, “Kerr/CFT Correspondence in Diverse Dimensions,” JHEP 04 (2009) 054, arXiv:0811.2225 [hep-th]

View on Pith Pith review arXiv 2009
[21]

D. D. K. Chow, M. Cvetic, H. Lu, and C. N. Pope, “Extremal Black Hole/CFT Correspondence in (Gauged) Supergravities,” Phys. Rev. D79 (2009) 084018, arXiv:0812.2918 [hep-th]

View on Pith Pith review arXiv 2009
[22]

M. David, J. Nian, and L. A. Pando Zayas, “Gravitational Cardy Limit and AdS Black Hole Entropy,” arXiv:2005.10251 [hep-th]

View on Pith Pith review arXiv 2005
[23]

F. Larsen, J. Nian, and Y. Zeng, “AdS 5 black hole entropy near the BPS limit,” JHEP 06 (2020) 001, arXiv:1907.02505 [hep-th]

View on Pith Pith review arXiv 2020
[24]

J. Nian and L. A. Pando Zayas, “Toward an eﬀective CFT 2 from N = 4 super Yang-Mills and aspects of Hawking radiation,” JHEP 07 (2020) 120, arXiv:2003.02770 [hep-th]

View on Pith Pith review arXiv 2020
[25]

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, arXiv:hep-th/9905099 [hep-th]

View on Pith Pith review arXiv 1999
[26]

C. G. Callan and J. M. Maldacena, “D-brane approach to black hole quantum mechanics,” Nucl. Phys. B472 (1996) 591–610, arXiv:hep-th/9602043 [hep-th]

View on Pith Pith review arXiv 1996
[27]

Y. Matsuo and T. Nishioka, “New Near Horizon Limit in Kerr/CFT,” JHEP 12 (2010) 073, arXiv:1010.4549 [hep-th]

View on Pith Pith review arXiv 2010
[28]

B. Chen and J. Long, “On Holographic description of the Kerr-Newman-AdS-dS black holes,” JHEP 08 (2010) 065, arXiv:1006.0157 [hep-th]

View on Pith Pith review arXiv 2010
[29]

G. Penington, “Entanglement Wedge Reconstruction and the Information Paradox,” JHEP 09 (2020) 002, arXiv:1905.08255 [hep-th] . – 22 –

View on Pith Pith review arXiv 2020
[30]

A. Almheiri, R. Mahajan, J. Maldacena, and Y. Zhao, “The Page curve of Hawking radiation from semiclassical geometry,” JHEP 03 (2020) 149, arXiv:1908.10996 [hep-th]

View on Pith Pith review arXiv 2020
[31]

A. Almheiri, N. Engelhardt, D. Marolf, and H. Maxﬁeld, “The entropy of bulk quantum ﬁelds and the entanglement wedge of an evaporating black hole,” JHEP 12 (2019) 063, arXiv:1905.08762 [hep-th]

View on Pith Pith review arXiv 2019
[32]

A. Almheiri, T. Hartman, J. Maldacena, E. Shaghoulian, and A. Tajdini, “Replica Wormholes and the Entropy of Hawking Radiation,” JHEP 05 (2020) 013, arXiv:1911.12333 [hep-th]

View on Pith Pith review arXiv 2020
[33]

F. Larsen and S. Paranjape, “Thermodynamics of Near BPS Black Holes in AdS 4 and AdS7,” arXiv:2010.04359 [hep-th]

View on Pith Pith review arXiv 2010
[34]

Z. W. Chong, M. Cvetic, H. Lu, and C. N. Pope, “Charged rotating black holes in four-dimensional gauged and ungauged supergravities,” Nucl. Phys. B717 (2005) 246–271, arXiv:hep-th/0411045 [hep-th]

View on Pith Pith review arXiv 2005
[35]

M. Cvetic, G. W. Gibbons, H. Lu, and C. N. Pope, “Rotating black holes in gauged supergravities: Thermodynamics, supersymmetric limits, topological solitons and time machines,” arXiv:hep-th/0504080 [hep-th]

View on Pith Pith review arXiv
[36]

M. M. Caldarelli, G. Cognola, and D. Klemm, “Thermodynamics of Kerr-Newman-AdS black holes and conformal ﬁeld theories,” Class. Quant. Grav. 17 (2000) 399–420, arXiv:hep-th/9908022

View on Pith Pith review arXiv 2000
[37]

Chow, David D. K. and Comp´ ere, Geoﬀrey, “Dyonic AdS black holes in maximal gauged supergravity,” Phys. Rev. D89 no. 6, (2014) 065003, arXiv:1311.1204 [hep-th]

View on Pith Pith review arXiv 2014
[38]

S. Choi, C. Hwang, S. Kim, and J. Nahmgoong, “Entropy Functions of BPS Black Holes in AdS4 and AdS6,” J. Korean Phys. Soc. 76 no. 2, (2020) 101–108, arXiv:1811.02158 [hep-th]

View on Pith Pith review arXiv 2020
[39]

D. Cassani and L. Papini, “The BPS limit of rotating AdS black hole thermodynamics,” JHEP 09 (2019) 079, arXiv:1906.10148 [hep-th]

View on Pith Pith review arXiv 2019
[40]

F. Larsen, “A nAttractor mechanism for nAdS 2/nCFT1 holography,” JHEP 04 (2019) 055, arXiv:1806.06330 [hep-th]

View on Pith Pith review arXiv 2019
[41]

P. J. Silva, “Thermodynamics at the BPS bound for Black Holes in AdS,” JHEP 10 (2006) 022, arXiv:hep-th/0607056

View on Pith Pith review arXiv 2006
[42]

J. D. Brown and J. W. York, Jr., “Quasilocal energy and conserved charges derived from the gravitational action,” Phys. Rev. D47 (1993) 1407–1419, arXiv:gr-qc/9209012 [gr-qc]

View on Pith Pith review arXiv 1993
[43]

V. Balasubramanian and P. Kraus, “A Stress tensor for Anti-de Sitter gravity,” Commun. Math. Phys. 208 (1999) 413–428, arXiv:hep-th/9902121 [hep-th]

View on Pith Pith review arXiv 1999
[44]

A. Castro, A. Maloney, and A. Strominger, “Hidden Conformal Symmetry of the Kerr Black Hole,” Phys. Rev. D 82 (2010) 024008, arXiv:1004.0996 [hep-th]

View on Pith Pith review arXiv 2010
[45]

M. Cvetic and D. Youm, “Entropy of nonextreme charged rotating black holes in string theory,” Phys. Rev. D 54 (1996) 2612–2620, arXiv:hep-th/9603147

View on Pith Pith review arXiv 1996
[46]

F. Larsen, “A String model of black hole microstates,” Phys. Rev. D 56 (1997) 1005–1008, arXiv:hep-th/9702153

View on Pith Pith review arXiv 1997
[47]

M. Cvetic and F. Larsen, “General rotating black holes in string theory: Grey body factors and event horizons,” Phys. Rev. D 56 (1997) 4994–5007, arXiv:hep-th/9705192. – 23 –

View on Pith Pith review arXiv 1997
[48]

M. Cvetic and F. Larsen, “Grey body factors for rotating black holes in four-dimensions,” Nucl. Phys. B 506 (1997) 107–120, arXiv:hep-th/9706071

View on Pith Pith review arXiv 1997
[49]

M. Cvetic and F. Larsen, “Black hole horizons and the thermodynamics of strings,” Nucl. Phys. B Proc. Suppl. 62 (1998) 443–453, arXiv:hep-th/9708090

View on Pith Pith review arXiv 1998
[50]

F. Larsen, “Rotating Kaluza-Klein black holes,” Nucl. Phys. B 575 (2000) 211–230, arXiv:hep-th/9909102

View on Pith Pith review arXiv 2000
[51]

M. Cvetic, G. W. Gibbons, and C. N. Pope, “Universal Area Product Formulae for Rotating and Charged Black Holes in Four and Higher Dimensions,” Phys. Rev. Lett. 106 (2011) 121301, arXiv:1011.0008 [hep-th]

View on Pith Pith review arXiv 2011
[52]

A. Castro and M. J. Rodriguez, “Universal properties and the ﬁrst law of black hole inner mechanics,” Phys. Rev. D86 (2012) 024008, arXiv:1204.1284 [hep-th]

View on Pith Pith review arXiv 2012
[53]

J. L. Cardy, “Operator Content of Two-Dimensional Conformally Invariant Theories,” Nucl. Phys. B 270 (1986) 186–204

View on Pith 1986
[54]

J.-l. Jing, “Cardy-Verlinde formula and entropy bounds in Kerr-Newman AdS(4) / dS(4) black hole backgrounds,” Phys. Rev. D 66 (2002) 024002, arXiv:hep-th/0201247

View on Pith Pith review arXiv 2002
[55]

J. Nian and X. Zhang, “Entanglement Entropy of ABJM Theory and Entropy of Topological Black Hole,” JHEP 07 (2017) 096, arXiv:1705.01896 [hep-th]

View on Pith Pith review arXiv 2017
[56]

J. T. Liu, L. A. Pando Zayas, V. Rathee, and W. Zhao, “Toward Microstate Counting Beyond Large N in Localization and the Dual One-loop Quantum Supergravity,” JHEP 01 (2018) 026, arXiv:1707.04197 [hep-th]

View on Pith Pith review arXiv 2018
[57]

I. Jeon and S. Lal, “Logarithmic Corrections to Entropy of Magnetically Charged AdS 4 Black Holes,” Phys. Lett. B774 (2017) 41–45, arXiv:1707.04208 [hep-th]

View on Pith Pith review arXiv 2017
[58]

J. T. Liu, L. A. Pando Zayas, V. Rathee, and W. Zhao, “One-Loop Test of Quantum Black Holes in anti-de Sitter Space,” Phys. Rev. Lett. 120 no. 22, (2018) 221602, arXiv:1711.01076 [hep-th]

View on Pith Pith review arXiv 2018
[59]

K. Hristov, I. Lodato, and V. Reys, “On the quantum entropy function in 4d gauged supergravity,” JHEP 07 (2018) 072, arXiv:1803.05920 [hep-th]

View on Pith Pith review arXiv 2018
[60]

J. T. Liu, L. A. Pando Zayas, and S. Zhou, “Subleading Microstate Counting in the Dual to Massive Type IIA,” arXiv:1808.10445 [hep-th]

View on Pith Pith review arXiv
[61]

D. Gang, N. Kim, and L. A. Pando Zayas, “Precision Microstate Counting for the Entropy of Wrapped M5-branes,” JHEP 03 (2020) 164, arXiv:1905.01559 [hep-th]

View on Pith Pith review arXiv 2020
[62]

L. A. Pando Zayas and Y. Xin, “Topologically twisted index in the ’t Hooft limit and the dual AdS4 black hole entropy,” Phys. Rev. D 100 no. 12, (2019) 126019, arXiv:1908.01194 [hep-th]

View on Pith Pith review arXiv 2019
[63]

K. Hristov, I. Lodato, and V. Reys, “One-loop determinants for black holes in 4d gauged supergravity,” JHEP 11 (2019) 105, arXiv:1908.05696 [hep-th]

View on Pith Pith review arXiv 2019
[64]

A. Gonz´ alez Lezcano, J. Hong, J. T. Liu, and L. A. Pando Zayas, “Sub-leading Structures in Superconformal Indices: Subdominant Saddles and Logarithmic Contributions,” arXiv:2007.12604 [hep-th]

View on Pith Pith review arXiv 2007
[65]

L. A. Pando Zayas and Y. Xin, “Universal Logarithmic Behavior in Microstate Counting and the Dual One-loop Entropy of AdS 4 Black Holes,” arXiv:2008.03239 [hep-th] . – 24 –

View on Pith Pith review arXiv 2008
[66]

J. K. Ghosh and L. A. Pando Zayas, “Comments on Sen’s Classical Entropy Function for Static and Rotating AdS 4 Black Holes,” arXiv:2009.11147 [hep-th]

View on Pith Pith review arXiv 2009
[67]

A. Sen, “Black hole entropy function and the attractor mechanism in higher derivative gravity,” JHEP 09 (2005) 038, arXiv:hep-th/0506177

View on Pith Pith review arXiv 2005
[68]

V. E. Hubeny, D. Marolf, and M. Rangamani, “Hawking radiation in large N strongly-coupled ﬁeld theories,” Class. Quant. Grav. 27 (2010) 095015, arXiv:0908.2270 [hep-th]

View on Pith Pith review arXiv 2010
[69]

V. E. Hubeny, D. Marolf, and M. Rangamani, “Hawking radiation from AdS black holes,” Class. Quant. Grav. 27 (2010) 095018, arXiv:0911.4144 [hep-th]

View on Pith Pith review arXiv 2010
[70]

C. Copetti, A. Grassi, Z. Komargodski, and L. Tizzano, “Delayed Deconﬁnement and the Hawking-Page Transition,” arXiv:2008.04950 [hep-th]

View on Pith Pith review arXiv 2008
[71]

D. N. Page, “Information in black hole radiation,” Phys. Rev. Lett. 71 (1993) 3743–3746, arXiv:hep-th/9306083

View on Pith Pith review arXiv 1993
[72]

D. N. Page, “Time Dependence of Hawking Radiation Entropy,” JCAP 09 (2013) 028, arXiv:1301.4995 [hep-th]

View on Pith Pith review arXiv 2013
[73]

J. Nian, “Kerr Black Hole Evaporation and Page Curve,” arXiv:1912.13474 [hep-th] . – 25 –

View on Pith Pith review arXiv 1912

Forward citations

Cited by 2 Pith papers

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

Black hole microstate counting from the gravitational path integral
hep-th 2022-09 conditional novelty 7.0 of 10

The gravitational path integral for 1/8-BPS black holes in N=8 supergravity reproduces the exact integer microstate index of the D1-D5 string construction, term by term in the Rademacher expansion.
Revisiting the Logarithmic Corrections to the Black Hole Entropy
hep-th 2022-09 conditional novelty 5.0 of 10

Regulating the near-horizon zero-modes with a small temperature shows non-supersymmetric extremal black holes have vanishing degeneracy while BPS ones retain a large one.

How the literature uses it

15 arXiv papers cite this in 23 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 17 sentences without a confident label

Uses its method or tool 1 paper

Based on the analyses in [ref] , the quantum temperature $T_q$ can be estimated using the heat capacity of the AdS$_4$ black hole (or black brane).

Quantum Corrections to Holographic Strange Metal at Low Temperature · A sweet spot scenario for quantum corrections · 0.82

Compares with it 1 paper

This quantity is extracted from the classical heat capacity and agrees (in the $δ_1=δ_2=δ≠0$ limit) with the expression presented in [ref] .

Universality in Logarithmic Temperature Corrections to Near-Extremal Rotating Black Hole Thermodynamics in Various Dimensions · Lichnerowicz operator and the zero modes · 0.97

Cites it as background 4 papers

The temperature dependence is then shown to be controlled by a specific mode in the metric described by (super)JT gravity [Other papers studying different aspects regarding the connection of JT gravity and near extremal black holes are [ref] .].

Revisiting the Logarithmic Corrections to the Black Hole Entropy · Introduction · 0.93
[An incomplete subset of relevant references in both gravity and field theory sides is [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] , [ref] .

From multi-gravitons to Black holes: The role of complex saddles · Introduction and summary · 0.92
For example, Davida and Nian [ref] investigated the universal entropy and Hawking radiation of near-extremal $AdS_4$ black holes.

The emergence of universal relations in the AdS black holes thermodynamics · Literature Survey and Motivation · 0.89

What it cites · 78 sentences without a confident label

Contests 4 papers

The two conditions [ref] and [ref] in [ref] contain typos, which have been corrected in [ref] and also [ref] .

Dyonic AdS black holes in maximal gauged supergravity · AdS$_4$ Black Hole Solution · contest 0.85
The two conditions [ref] and [ref] in [ref] contain typos, which have been corrected in [ref] and also [ref] .

Entropy functions of BPS black holes in AdS$_4$ and AdS$_6$ · AdS$_4$ Black Hole Solution · contest 0.85
The two conditions [ref] and [ref] in [ref] contain typos, which have been corrected in [ref] and also [ref] .

The BPS limit of rotating AdS black hole thermodynamics · AdS$_4$ Black Hole Solution · contest 0.85

Builds on 6 papers

Therefore, our results use a concrete example to support the existence of a near-horizon CFT$_2$, which accounts for the black hole entropy, and show that the Kerr/CFT correspondence [ref] , which was originally applied only to extremal black holes, can also be extended to the near-extremal black holes.

The Kerr/CFT Correspondence · Introduction · 0.93
Therefore, our results use a concrete example to support the existence of a near-horizon CFT$_2$, which accounts for the black hole entropy, and show that the Kerr/CFT correspondence [ref] , which was originally applied only to extremal black holes, can also be extended to the near-extremal black holes.

Kerr-AdS/CFT Correspondence in Diverse Dimensions · Introduction · 0.93
Therefore, our results use a concrete example to support the existence of a near-horizon CFT$_2$, which accounts for the black hole entropy, and show that the Kerr/CFT correspondence [ref] , which was originally applied only to extremal black holes, can also be extended to the near-extremal black holes.

Extremal Black Hole/CFT Correspondence in (Gauged) Supergravities · Introduction · 0.93

Uses the method or tool of 10 papers

For the first method, the central charge can be computed using the following integral [ref] 1/8 πG ∫_∂Σ k_ζ_(m) [ℒ_ζ_(n) g, g] = - i/12 c_L (m^3 + αm) δ_m+n, 0 , where $g$ denotes the near-horizon metric of the near-extremal AdS$_4$ black hole in global coordinates [ref].

The Kerr/CFT Correspondence · Near-Extremal AdS$_4$ Black Hole Entropy from Cardy Formula · 0.87
For the first method, the central charge can be computed using the following integral [ref] 1/8 πG ∫_∂Σ k_ζ_(m) [ℒ_ζ_(n) g, g] = - i/12 c_L (m^3 + αm) δ_m+n, 0 , where $g$ denotes the near-horizon metric of the near-extremal AdS$_4$ black hole in global coordinates [ref].

Kerr-AdS/CFT Correspondence in Diverse Dimensions · Near-Extremal AdS$_4$ Black Hole Entropy from Cardy Formula · 0.87
For the first method, the central charge can be computed using the following integral [ref] 1/8 πG ∫_∂Σ k_ζ_(m) [ℒ_ζ_(n) g, g] = - i/12 c_L (m^3 + αm) δ_m+n, 0 , where $g$ denotes the near-horizon metric of the near-extremal AdS$_4$ black hole in global coordinates [ref].

Extremal Black Hole/CFT Correspondence in (Gauged) Supergravities · Near-Extremal AdS$_4$ Black Hole Entropy from Cardy Formula · 0.87

Uses data or values from 1 paper

We have seen in [ref] that for the BPS case $T_R = 0$.

Gravitational Cardy Limit and AdS Black Hole Entropy · Near-Extremal AdS$_4$ Black Hole Entropy from Cardy Formula · 0.83

Compares with 9 papers

However, the supersymmetric solutions considered [ref] have $1/2$-BPS supersymmetry instead of $1/4$-BPS supersymmetry discussed in [ref] , which makes some features of the black holes different.

Charged Rotating Black Holes in Four-Dimensional Gauged and Ungauged Supergravities · AdS$_4$ Black Hole Solution · 0.97
However, the supersymmetric solutions considered [ref] have $1/2$-BPS supersymmetry instead of $1/4$-BPS supersymmetry discussed in [ref] , which makes some features of the black holes different.

Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories · AdS$_4$ Black Hole Solution · 0.97
However, the supersymmetric solutions considered [ref] have $1/2$-BPS supersymmetry instead of $1/4$-BPS supersymmetry discussed in [ref] , which makes some features of the black holes different.

Rotating Black Holes in Gauged Supergravities; Thermodynamics, Supersymmetric Limits, Topological Solitons and Time Machines · AdS$_4$ Black Hole Solution · 0.97

Cites as background 25 papers

The Kerr/CFT correspondence was originally posed for asymptotically flat extremal Kerr black holes [ref] and was later shown to also be valid for asymptotically AdS black holes [ref] .

The Kerr/CFT Correspondence · Near-Extremal AdS$_4$ Black Hole Entropy from Cardy Formula · 0.96
The Kerr/CFT correspondence was originally posed for asymptotically flat extremal Kerr black holes [ref] and was later shown to also be valid for asymptotically AdS black holes [ref] .

Kerr-AdS/CFT Correspondence in Diverse Dimensions · Near-Extremal AdS$_4$ Black Hole Entropy from Cardy Formula · 0.96
The Kerr/CFT correspondence was originally posed for asymptotically flat extremal Kerr black holes [ref] and was later shown to also be valid for asymptotically AdS black holes [ref] .

Extremal Black Hole/CFT Correspondence in (Gauged) Supergravities · Near-Extremal AdS$_4$ Black Hole Entropy from Cardy Formula · 0.96

Discussion

Disagree with the review, or know something it missed? Leave a comment, highlight any passage above to comment on it, or challenge this review formally.

[1] [1]

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

View on Pith Pith review arXiv 1996

[2] [2]

J. M. Maldacena, “The Large N limit of superconformal ﬁeld theories and supergravity,” Int. J. Theor. Phys. 38 (1999) 1113–1133, arXiv:hep-th/9711200 [hep-th] . [Adv. Theor. Math. Phys.2,231(1998)]

View on Pith Pith review arXiv 1999

[3] [3]

E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys. 2 (1998) 253–291, arXiv:hep-th/9802150 [hep-th]

View on Pith Pith review arXiv 1998

[4] [4]

F. Benini, K. Hristov, and A. Zaﬀaroni, “Black hole microstates in AdS 4 from supersymmetric localization,” JHEP 05 (2016) 054, arXiv:1511.04085 [hep-th]

View on Pith Pith review arXiv 2016

[5] [5]

A. Cabo-Bizet, D. Cassani, D. Martelli, and S. Murthy, “Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS 5 black holes,” JHEP 10 (2019) 062, arXiv:1810.11442 [hep-th]

View on Pith Pith review arXiv 2019

[6] [6]

S. Choi, J. Kim, S. Kim, and J. Nahmgoong, “Large AdS black holes from QFT,” arXiv:1810.12067 [hep-th]

View on Pith Pith review arXiv

[7] [7]

F. Benini and P. Milan, “Black Holes in 4D N =4 Super-Yang-Mills Field Theory,” Phys. Rev. X 10 no. 2, (2020) 021037, arXiv:1812.09613 [hep-th]

View on Pith Pith review arXiv 2020

[8] [8]

S. Choi and S. Kim, “Large AdS 6 black holes from CFT 5,” arXiv:1904.01164 [hep-th]

View on Pith Pith review arXiv 1904

[9] [9]

G. K´ antor, C. Papageorgakis, and P. Richmond, “AdS7 black-hole entropy and 5D N = 2 Yang-Mills,” JHEP 01 (2020) 017, arXiv:1907.02923 [hep-th]

View on Pith Pith review arXiv 2020

[10] [10]

J. Nahmgoong, “6d superconformal Cardy formulas,” arXiv:1907.12582 [hep-th] . – 21 –

View on Pith Pith review arXiv 1907

[11] [11]

S. Choi, C. Hwang, and S. Kim, “Quantum vortices, M2-branes and black holes,” arXiv:1908.02470 [hep-th]

View on Pith Pith review arXiv 1908

[12] [12]

J. Nian and L. A. Pando Zayas, “Microscopic entropy of rotating electrically charged AdS 4 black holes from ﬁeld theory localization,” JHEP 03 (2020) 081, arXiv:1909.07943 [hep-th]

View on Pith Pith review arXiv 2020

[13] [13]

A. Cabo-Bizet and S. Murthy, “Supersymmetric phases of 4d N“ 4 SYM at large N,” arXiv:1909.09597 [hep-th]

View on Pith Pith review arXiv 1909

[14] [14]

N. Bobev and P. M. Crichigno, “Universal spinning black holes and theories of class R,” JHEP 12 (2019) 054, arXiv:1909.05873 [hep-th]

View on Pith Pith review arXiv 2019

[15] [15]

F. Benini, D. Gang, and L. A. Pando Zayas, “Rotating Black Hole Entropy from M5 Branes,” JHEP 03 (2020) 057, arXiv:1909.11612 [hep-th]

View on Pith Pith review arXiv 2020

[16] [16]

S. M. Hosseini, K. Hristov, and A. Zaﬀaroni, “Microstates of rotating AdS 5 strings,” JHEP 11 (2019) 090, arXiv:1909.08000 [hep-th]

View on Pith Pith review arXiv 2019

[17] [17]

S. Choi and C. Hwang, “Universal 3d Cardy Block and Black Hole Entropy,” JHEP 03 (2020) 068, arXiv:1911.01448 [hep-th]

View on Pith Pith review arXiv 2020

[18] [18]

P. M. Crichigno and D. Jain, “The 5d Superconformal Index at Large N and Black Holes,” JHEP 09 (2020) 124, arXiv:2005.00550 [hep-th]

View on Pith Pith review arXiv 2020

[19] [19]

M. Guica, T. Hartman, W. Song, and A. Strominger, “The Kerr/CFT Correspondence,” Phys. Rev. D80 (2009) 124008, arXiv:0809.4266 [hep-th]

View on Pith Pith review arXiv 2009

[20] [20]

H. Lu, J. Mei, and C. N. Pope, “Kerr/CFT Correspondence in Diverse Dimensions,” JHEP 04 (2009) 054, arXiv:0811.2225 [hep-th]

View on Pith Pith review arXiv 2009

[21] [21]

D. D. K. Chow, M. Cvetic, H. Lu, and C. N. Pope, “Extremal Black Hole/CFT Correspondence in (Gauged) Supergravities,” Phys. Rev. D79 (2009) 084018, arXiv:0812.2918 [hep-th]

View on Pith Pith review arXiv 2009

[22] [22]

M. David, J. Nian, and L. A. Pando Zayas, “Gravitational Cardy Limit and AdS Black Hole Entropy,” arXiv:2005.10251 [hep-th]

View on Pith Pith review arXiv 2005

[23] [23]

F. Larsen, J. Nian, and Y. Zeng, “AdS 5 black hole entropy near the BPS limit,” JHEP 06 (2020) 001, arXiv:1907.02505 [hep-th]

View on Pith Pith review arXiv 2020

[24] [24]

J. Nian and L. A. Pando Zayas, “Toward an eﬀective CFT 2 from N = 4 super Yang-Mills and aspects of Hawking radiation,” JHEP 07 (2020) 120, arXiv:2003.02770 [hep-th]

View on Pith Pith review arXiv 2020

[25] [25]

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, arXiv:hep-th/9905099 [hep-th]

View on Pith Pith review arXiv 1999

[26] [26]

C. G. Callan and J. M. Maldacena, “D-brane approach to black hole quantum mechanics,” Nucl. Phys. B472 (1996) 591–610, arXiv:hep-th/9602043 [hep-th]

View on Pith Pith review arXiv 1996

[27] [27]

Y. Matsuo and T. Nishioka, “New Near Horizon Limit in Kerr/CFT,” JHEP 12 (2010) 073, arXiv:1010.4549 [hep-th]

View on Pith Pith review arXiv 2010

[28] [28]

B. Chen and J. Long, “On Holographic description of the Kerr-Newman-AdS-dS black holes,” JHEP 08 (2010) 065, arXiv:1006.0157 [hep-th]

View on Pith Pith review arXiv 2010

[29] [29]

G. Penington, “Entanglement Wedge Reconstruction and the Information Paradox,” JHEP 09 (2020) 002, arXiv:1905.08255 [hep-th] . – 22 –

View on Pith Pith review arXiv 2020

[30] [30]

A. Almheiri, R. Mahajan, J. Maldacena, and Y. Zhao, “The Page curve of Hawking radiation from semiclassical geometry,” JHEP 03 (2020) 149, arXiv:1908.10996 [hep-th]

View on Pith Pith review arXiv 2020

[31] [31]

A. Almheiri, N. Engelhardt, D. Marolf, and H. Maxﬁeld, “The entropy of bulk quantum ﬁelds and the entanglement wedge of an evaporating black hole,” JHEP 12 (2019) 063, arXiv:1905.08762 [hep-th]

View on Pith Pith review arXiv 2019

[32] [32]

A. Almheiri, T. Hartman, J. Maldacena, E. Shaghoulian, and A. Tajdini, “Replica Wormholes and the Entropy of Hawking Radiation,” JHEP 05 (2020) 013, arXiv:1911.12333 [hep-th]

View on Pith Pith review arXiv 2020

[33] [33]

F. Larsen and S. Paranjape, “Thermodynamics of Near BPS Black Holes in AdS 4 and AdS7,” arXiv:2010.04359 [hep-th]

View on Pith Pith review arXiv 2010

[34] [34]

Z. W. Chong, M. Cvetic, H. Lu, and C. N. Pope, “Charged rotating black holes in four-dimensional gauged and ungauged supergravities,” Nucl. Phys. B717 (2005) 246–271, arXiv:hep-th/0411045 [hep-th]

View on Pith Pith review arXiv 2005

[35] [35]

M. Cvetic, G. W. Gibbons, H. Lu, and C. N. Pope, “Rotating black holes in gauged supergravities: Thermodynamics, supersymmetric limits, topological solitons and time machines,” arXiv:hep-th/0504080 [hep-th]

View on Pith Pith review arXiv

[36] [36]

M. M. Caldarelli, G. Cognola, and D. Klemm, “Thermodynamics of Kerr-Newman-AdS black holes and conformal ﬁeld theories,” Class. Quant. Grav. 17 (2000) 399–420, arXiv:hep-th/9908022

View on Pith Pith review arXiv 2000

[37] [37]

Chow, David D. K. and Comp´ ere, Geoﬀrey, “Dyonic AdS black holes in maximal gauged supergravity,” Phys. Rev. D89 no. 6, (2014) 065003, arXiv:1311.1204 [hep-th]

View on Pith Pith review arXiv 2014

[38] [38]

S. Choi, C. Hwang, S. Kim, and J. Nahmgoong, “Entropy Functions of BPS Black Holes in AdS4 and AdS6,” J. Korean Phys. Soc. 76 no. 2, (2020) 101–108, arXiv:1811.02158 [hep-th]

View on Pith Pith review arXiv 2020

[39] [39]

D. Cassani and L. Papini, “The BPS limit of rotating AdS black hole thermodynamics,” JHEP 09 (2019) 079, arXiv:1906.10148 [hep-th]

View on Pith Pith review arXiv 2019

[40] [40]

F. Larsen, “A nAttractor mechanism for nAdS 2/nCFT1 holography,” JHEP 04 (2019) 055, arXiv:1806.06330 [hep-th]

View on Pith Pith review arXiv 2019

[41] [41]

P. J. Silva, “Thermodynamics at the BPS bound for Black Holes in AdS,” JHEP 10 (2006) 022, arXiv:hep-th/0607056

View on Pith Pith review arXiv 2006

[42] [42]

J. D. Brown and J. W. York, Jr., “Quasilocal energy and conserved charges derived from the gravitational action,” Phys. Rev. D47 (1993) 1407–1419, arXiv:gr-qc/9209012 [gr-qc]

View on Pith Pith review arXiv 1993

[43] [43]

V. Balasubramanian and P. Kraus, “A Stress tensor for Anti-de Sitter gravity,” Commun. Math. Phys. 208 (1999) 413–428, arXiv:hep-th/9902121 [hep-th]

View on Pith Pith review arXiv 1999

[44] [44]

A. Castro, A. Maloney, and A. Strominger, “Hidden Conformal Symmetry of the Kerr Black Hole,” Phys. Rev. D 82 (2010) 024008, arXiv:1004.0996 [hep-th]

View on Pith Pith review arXiv 2010

[45] [45]

M. Cvetic and D. Youm, “Entropy of nonextreme charged rotating black holes in string theory,” Phys. Rev. D 54 (1996) 2612–2620, arXiv:hep-th/9603147

View on Pith Pith review arXiv 1996

[46] [46]

F. Larsen, “A String model of black hole microstates,” Phys. Rev. D 56 (1997) 1005–1008, arXiv:hep-th/9702153

View on Pith Pith review arXiv 1997

[47] [47]

M. Cvetic and F. Larsen, “General rotating black holes in string theory: Grey body factors and event horizons,” Phys. Rev. D 56 (1997) 4994–5007, arXiv:hep-th/9705192. – 23 –

View on Pith Pith review arXiv 1997

[48] [48]

M. Cvetic and F. Larsen, “Grey body factors for rotating black holes in four-dimensions,” Nucl. Phys. B 506 (1997) 107–120, arXiv:hep-th/9706071

View on Pith Pith review arXiv 1997

[49] [49]

M. Cvetic and F. Larsen, “Black hole horizons and the thermodynamics of strings,” Nucl. Phys. B Proc. Suppl. 62 (1998) 443–453, arXiv:hep-th/9708090

View on Pith Pith review arXiv 1998

[50] [50]

F. Larsen, “Rotating Kaluza-Klein black holes,” Nucl. Phys. B 575 (2000) 211–230, arXiv:hep-th/9909102

View on Pith Pith review arXiv 2000

[51] [51]

M. Cvetic, G. W. Gibbons, and C. N. Pope, “Universal Area Product Formulae for Rotating and Charged Black Holes in Four and Higher Dimensions,” Phys. Rev. Lett. 106 (2011) 121301, arXiv:1011.0008 [hep-th]

View on Pith Pith review arXiv 2011

[52] [52]

A. Castro and M. J. Rodriguez, “Universal properties and the ﬁrst law of black hole inner mechanics,” Phys. Rev. D86 (2012) 024008, arXiv:1204.1284 [hep-th]

View on Pith Pith review arXiv 2012

[53] [53]

J. L. Cardy, “Operator Content of Two-Dimensional Conformally Invariant Theories,” Nucl. Phys. B 270 (1986) 186–204

View on Pith 1986

[54] [54]

J.-l. Jing, “Cardy-Verlinde formula and entropy bounds in Kerr-Newman AdS(4) / dS(4) black hole backgrounds,” Phys. Rev. D 66 (2002) 024002, arXiv:hep-th/0201247

View on Pith Pith review arXiv 2002

[55] [55]

J. Nian and X. Zhang, “Entanglement Entropy of ABJM Theory and Entropy of Topological Black Hole,” JHEP 07 (2017) 096, arXiv:1705.01896 [hep-th]

View on Pith Pith review arXiv 2017

[56] [56]

J. T. Liu, L. A. Pando Zayas, V. Rathee, and W. Zhao, “Toward Microstate Counting Beyond Large N in Localization and the Dual One-loop Quantum Supergravity,” JHEP 01 (2018) 026, arXiv:1707.04197 [hep-th]

View on Pith Pith review arXiv 2018

[57] [57]

I. Jeon and S. Lal, “Logarithmic Corrections to Entropy of Magnetically Charged AdS 4 Black Holes,” Phys. Lett. B774 (2017) 41–45, arXiv:1707.04208 [hep-th]

View on Pith Pith review arXiv 2017

[58] [58]

J. T. Liu, L. A. Pando Zayas, V. Rathee, and W. Zhao, “One-Loop Test of Quantum Black Holes in anti-de Sitter Space,” Phys. Rev. Lett. 120 no. 22, (2018) 221602, arXiv:1711.01076 [hep-th]

View on Pith Pith review arXiv 2018

[59] [59]

K. Hristov, I. Lodato, and V. Reys, “On the quantum entropy function in 4d gauged supergravity,” JHEP 07 (2018) 072, arXiv:1803.05920 [hep-th]

View on Pith Pith review arXiv 2018

[60] [60]

J. T. Liu, L. A. Pando Zayas, and S. Zhou, “Subleading Microstate Counting in the Dual to Massive Type IIA,” arXiv:1808.10445 [hep-th]

View on Pith Pith review arXiv

[61] [61]

D. Gang, N. Kim, and L. A. Pando Zayas, “Precision Microstate Counting for the Entropy of Wrapped M5-branes,” JHEP 03 (2020) 164, arXiv:1905.01559 [hep-th]

View on Pith Pith review arXiv 2020

[62] [62]

L. A. Pando Zayas and Y. Xin, “Topologically twisted index in the ’t Hooft limit and the dual AdS4 black hole entropy,” Phys. Rev. D 100 no. 12, (2019) 126019, arXiv:1908.01194 [hep-th]

View on Pith Pith review arXiv 2019

[63] [63]

K. Hristov, I. Lodato, and V. Reys, “One-loop determinants for black holes in 4d gauged supergravity,” JHEP 11 (2019) 105, arXiv:1908.05696 [hep-th]

View on Pith Pith review arXiv 2019

[64] [64]

A. Gonz´ alez Lezcano, J. Hong, J. T. Liu, and L. A. Pando Zayas, “Sub-leading Structures in Superconformal Indices: Subdominant Saddles and Logarithmic Contributions,” arXiv:2007.12604 [hep-th]

View on Pith Pith review arXiv 2007

[65] [65]

L. A. Pando Zayas and Y. Xin, “Universal Logarithmic Behavior in Microstate Counting and the Dual One-loop Entropy of AdS 4 Black Holes,” arXiv:2008.03239 [hep-th] . – 24 –

View on Pith Pith review arXiv 2008

[66] [66]

J. K. Ghosh and L. A. Pando Zayas, “Comments on Sen’s Classical Entropy Function for Static and Rotating AdS 4 Black Holes,” arXiv:2009.11147 [hep-th]

View on Pith Pith review arXiv 2009

[67] [67]

A. Sen, “Black hole entropy function and the attractor mechanism in higher derivative gravity,” JHEP 09 (2005) 038, arXiv:hep-th/0506177

View on Pith Pith review arXiv 2005

[68] [68]

V. E. Hubeny, D. Marolf, and M. Rangamani, “Hawking radiation in large N strongly-coupled ﬁeld theories,” Class. Quant. Grav. 27 (2010) 095015, arXiv:0908.2270 [hep-th]

View on Pith Pith review arXiv 2010

[69] [69]

V. E. Hubeny, D. Marolf, and M. Rangamani, “Hawking radiation from AdS black holes,” Class. Quant. Grav. 27 (2010) 095018, arXiv:0911.4144 [hep-th]

View on Pith Pith review arXiv 2010

[70] [70]

C. Copetti, A. Grassi, Z. Komargodski, and L. Tizzano, “Delayed Deconﬁnement and the Hawking-Page Transition,” arXiv:2008.04950 [hep-th]

View on Pith Pith review arXiv 2008

[71] [71]

D. N. Page, “Information in black hole radiation,” Phys. Rev. Lett. 71 (1993) 3743–3746, arXiv:hep-th/9306083

View on Pith Pith review arXiv 1993

[72] [72]

D. N. Page, “Time Dependence of Hawking Radiation Entropy,” JCAP 09 (2013) 028, arXiv:1301.4995 [hep-th]

View on Pith Pith review arXiv 2013

[73] [73]

J. Nian, “Kerr Black Hole Evaporation and Page Curve,” arXiv:1912.13474 [hep-th] . – 25 –

View on Pith Pith review arXiv 1912