Embedding AdS Black Holes in Ten and Eleven Dimensions

C.N. Pope; H. Lu; H. Sati; James T. Liu; J.X. Lu; M. Cvetic; M.J. Duff; P. Hoxha; R. Martinez-Acosta; T.A. Tran

REVIEW

Embedding AdS Black Holes in Ten and Eleven Dimensions

M. Cvetic, M.J. Duff, P. Hoxha, James T. Liu, H. Lu, J.X. Lu, R. Martinez-Acosta, C.N. Pope

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H. Sati, T.A. Tran

High Energy Physics - Theory · Submitted 26 Mar 1999 · 66 references

Pith's verdict: The paper that made sphere reductions usable: explicit scalar-included ansaetze for S5, S7 and S4, and the flat-horizon AdS black holes identified as near-horizon limits of spinning D3, M2 and M5 branes.

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arXiv IDhep-th/9903214 (version 2)

Pith IDZXOIIA77, Pith's permanent record of this paper and its review

CitationC.N. Pope, H. Lu, H. Sati, James T. Liu, J.X. Lu, M. Cvetic, M.J. Duff, P. Hoxha, R. Martinez-Acosta, T.A. Tran. "Embedding AdS Black Holes in Ten and Eleven Dimensions." arXiv:hep-th/9903214 (1999). https://pith.science/paper/ZXOIIA77

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Bottom line: this is the paper that turned sphere reductions from folklore into a tool. Before it, the S7 metric ansatz was implicit and the S5 and S4 ones did not exist in closed form with scalars retained. Here you get explicit metric and form-field ansaetze for the U(1)^3, U(1)^4 and U(1)^2 truncations, and the observation that the toroidal-horizon AdS black holes are exactly the near-horizon decoupling limits of spinning D3, M2 and M5 branes. That identification is the part people actually use, and it is what the abstract's s2 claim rests on. It holds up: the rescalings in 2.3, 3.3 and 4.3 reproduce the lower-dimensional black holes including the scalars, which the earlier single-charge work had missed. Section 3.1's explicit demonstration that the mu_i dependence cancels in the Einstein equation, with the potential coming out as -4 sum X_i X_j, is the sort of computation that either works or does not, and it works. The remark that this cancellation depends on the precise FFA normalisation, hence ultimately on supersymmetry, is a genuinely useful piece of physics rather than decoration. Appendix C is real work too: the general curvature formulas are what make the other two cases checkable at all. On the stress-test worry: it is half right. Appendix C does give the S5 curvature scalar (C.10) alongside the S7 one, so S5 is not merely asserted. S4 is the genuine gap, since it falls outside the odd-sphere formula, and the two-scalar truncation is admittedly not consistent in general (section 4.1, restricted to F1 wedge F2 = 0). That is fine for the black holes but makes the abstract's 'oxidise any solution' looser in D=7 than in D=4,5. The axion omission in the S7 ansatz is acknowledged and does not touch the electric solutions. Minor: section 4.3 says 'rotating M2-brane' where it means M5. For anyone who needs to lift a D=4, 5 or 7 solution into ten or eleven dimensions, this is the reference. It deserves a serious referee, and I would cite it.

Referee report

Significance

If correct, this is a foundational paper. It supplies the first explicit scalar-including non-linear reduction ansätze for these three spheres, which is what makes the statement 'charged AdS black hole = spinning brane' an exact statement rather than a linearised or near-extremal one. Several features deserve explicit credit: the decoupling limits are given with all rescalings written out (2.18), (3.22), (4.15) and the matching is exhibited term by term, so the identification is falsifiable in detail rather than asserted; the μ_i cancellation in the D=11 Einstein equation is worked through explicitly in Eqs. (3.10)–(3.14), which is the kind of check that makes the general ansatz credible; and the paper correctly identifies that consistency of a sphere reduction with scalars holds at the level of the equations of motion and not the Lagrangian, with the relative normalisation of the FFA term fixed by supersymmetry. The general curvature formulas of Appendix C are a reusable technical asset. The results have clearly been load-bearing for the subsequent AdS/CFT and rotating-brane literature.

Major objections (2)

[§4.1 and Abstract, sentences s0–s1] The abstract states that the ansätze describe the embeddings of the U(1)^2 truncation of D=7 gauged supergravity and 'enable one to oxidise any associated lower dimensional solutions to D=10 or D=11'. Section 4.1 states plainly that the retained two-scalar, two-vector truncation 'is not in general a consistent truncation', and is valid only for solutions satisfying F^1_(2) ∧ F^2_(2) = 0. The authors acknowledge this, so the issue is not concealment but scope: the abstract's 'any' is stronger than what §4.1 delivers for the S4 case, in contrast to the S5 and S7 cases where the truncation is genuinely consistent. Since the abstract is what most readers will carry away, I would ask that the F^1 ∧ F^2 = 0 restriction be stated there, or that the abstract be softened to say that the D=7 ansatz oxidises the class of solutions for which the omitted fields are not sourced. This does not affect the black-hole embeddings of §4.3, which satisfy the restriction.
[§2.1, §4.1, Appendix C] The consistency statements for the S5 and S4 ansätze are asserted rather than displayed. Section 2.1 concludes 'Thus we have established that the reduction ansätze (2.1) and (2.8) describe the exact embedding', and §4.1 states that substitution into the eleven-dimensional equations of motion yields equations derivable from (4.6), but neither section shows the cancellation analogous to Eqs. (3.10)–(3.14) for S7. Appendix C partially fills this gap for S5, since the general odd-sphere formula (C.1) with k=3, d=5, a=b=1/2 covers it, and (C.10) is given explicitly. The S4 ansatz (4.1)–(4.2) is an even-sphere reduction and is not of the form (C.1), so it is not covered by Appendix C at all, and Appendix C itself is scoped by the sentence 'we have only computed selected components of the full D-dimensional Ricci tensor'. I would ask the authors to state, for the S4 case specifically, which components of the eleven-dimensional equations were checked and by what method (presumably the TTC computer algebra cited in the acknowledgements), and whether the check was component-by-component or restricted to the trace and the lower-dimensional Einstein equation. I want to be clear that this is a request for a completeness statement, not a claim of error: the black-hole results of §4.3 are independently cross-checked against the known rotating M5-brane metric and against the lower-dimensional solution, so a failure of the general S4 ansatz would have to be invisible in exactly those special cases, which seems unlikely. The concern is confined to the generality of the oxidation claim (s0–s1), not to s2.

Minor objections (7)

[Eq. (3.16)] The metric ansatz for the D=4 AdS black hole has (H1H2H3)^{1/2} multiplying the spatial part, whereas the oxidised form in Eq. (3.25) has (H1H2H3H4)^{1/2}, and the scalar definition X_i = H_i^{-1}(H1H2H3H4)^{1/4} in the same equation requires the four-factor combination. This looks like a typographical omission of H4 and should be corrected.
[Eq. (4.12)] In the rotating M5-brane metric the cross term is written as −4m coshα/(r^3 H Δ) dt (Σ_i ℓ_i μ_i^2 dφ_i)^2 and the final term as 2m/(r^3 H Δ)(Σ_i ℓ_i μ_i^2 dφ_i)^2, both with a square on the angular one-form in the cross term. The analogous expressions in (2.15) and (3.19) have no square on the cross term. The cross term should presumably be linear in Σ_i ℓ_i μ_i^2 dφ_i.
[§4.3, final paragraph] The paragraph concludes that the 2-charge k=0 AdS black hole in D=7 'can be reinterpreted as the decoupling limit of the rotating M2-brane'. The section is about the M5-brane and Eq. (4.12) is the M5-brane metric, so this should read M5-brane. A related slip appears earlier in §4.3, where the contrast is drawn with 'the rotating D3-branes and M5-branes'; in the D=7 context the comparison should be with the D3-brane and the M2-brane.
[References [50] and [53]] Both entries carry the preprint number hep-th/9901056 but different author lists and titles: [50] is Kraus, Larsen and Trivedi, 'The Coulomb branch of gauge theory from rotating branes', and [53] is Russo and Sfetsos, 'Rotating D3-branes and QCD in three dimensions'. One of the two numbers is wrong and should be checked against the actual preprints.
[§5, Eqs. (5.2)–(5.5)] The symbol φ is used both for the dilaton (as in e^{d̃φ} in (5.2) and e^{−2d̃/a^2 φ} in (5.4)) and for the azimuthal angles φ_i in the same equations. A distinct symbol for the dilaton would remove an ambiguity that is easy to trip over when reading the general formula.
[§1, §4.1, Appendix A] A number of typographical errors should be cleaned up in the final version: 'It practice, however, this is a formidable task' in §1 should read 'In practice'; 'supporeted by a single (p+2)-form charge' in §1 should read 'supported'; 'we we shall focus' in §4.1 has a doubled word; 'This are all straightforwardly obtained' in Appendix A should read 'These are all'; and Eq. (3.12) has η_{aβ} where η_{αβ} is meant.
[§6 and footnote 6] The paper claims to give the first explicit scalar-including reduction ansätze, while noting that comparison with the implicit results of [35, 36] and [59] is difficult. Footnote 6 states that the linearised ansätze agree with [19]. It would strengthen the novelty claim to say explicitly which comparison was actually carried out (linearised versus [19], and whether any check against [59] was attempted), so that the 'first explicit' claim is anchored to a stated check rather than to the difficulty of the comparison.

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The paper

The paper claims

The paper writes down the explicit dictionary that lifts five-, four- and seven-dimensional gauged supergravity solutions back into ten and eleven dimensions, and uses it to show that charged anti-de Sitter black holes with flat horizons *

The reading

The paper asks a bookkeeping question with physical teeth: when a five-, four- or seven-dimensional gauged supergravity is supposed to come from compactifying ten- or eleven-dimensional supergravity on a sphere, what exactly is the formula that takes a lower-dimensional solution back upstairs? The authors write down explicit, non-linear Kaluza-Klein ansätze for the $S^5$ reduction of type IIB supergravity and the $S^7$ and $S^4$ reductions of eleven-dimensional supergravity, truncated to the commuting $U(1)$ gauge fields inside $SO(6)$, $SO(8)$ and $SO(5)$. The hard part is the scalars: the metric ansatz carries the constrained quantities $X_i$ (with $X_1X_2X_3=1$, $X_1X_2X_3X_4=1$, or two independent $X_i$ in seven dimensions) sitting inside a sphere factor $d s^2 = g^{-2} d s_d^2$ plus $g^{-2}$ times a sum over $dmu_i^2 + mu_i^2(dvarphi_i + g A^i)^2$. With those formulas in hand the authors lift the known multi-charge anti-de Sitter black holes of $D=5$, $D=4$ and $D=7$ into type IIB and M-theory. The payoff is an identification: for the black holes with toroidal horizons, the higher-dimensional solution is exactly the near-horizon decoupling limit of a D3-, M2- or M5-brane spinning in its transverse directions, the black hole charges are the brane angular momenta, and the horizon coincides with the brane worldvolume.

What carries the argument

The load-bearing object is the non-linear metric ansatz $d s_D^2 = tilde{Delta}^{a} d s_d^2 + g^{-2} tilde{Delta}^{-b} sum_i X_i^{-1} (dmu_i^2 + mu_i^2 (dvarphi_i + g A^i_{(1)})^2)$, with $tilde{Delta} = sum_i X_i mu_i^2$ and $sum_i mu_i^2 = 1$, paired with a matching ansatz for the 5-form of type IIB or the 4-form of eleven-dimensional supergravity. The scalars enter both through the $X_i$ and through the mixing function $tilde{Delta}$, so the sphere coordinates and the lower-dimensional scalar fields are entangled in a way that has no analogue in toroidal reductions. What makes the construction work is a cancellation: in the higher-dimensional Einstein equation the metric contribution and the form-field contribution must combine so that all explicit $mu_i$ dependence disappears, leaving a lower-dimensional equation times an overall sphere factor. The authors demonstrate this explicitly for the four-dimensional Einstein equation of the $S^7$ case (equations 3.10 to 3.14) and give general curvature formulas for odd spheres in Appendix C. A second piece of machinery is the decoupling-limit rescaling that turns a rotating brane metric into the product of a lower-dimensional black hole and the sphere factor above, which is how the ansatz is reverse-engineered in the first place.

Extended reading notes

Core claim

The central claim is that the $U(1)^3$, $U(1)^4$ and $U(1)^2$ truncations of $D=5$, $D=4$ and $D=7$ gauged supergravities embed exactly, and non-linearly, into type IIB supergravity on $S^5$ and eleven-dimensional supergravity on $S^7$ and $S^4$, with the scalar fields included. The authors exhibit the metric ansätze (2.1), (3.1) and (4.1) together with the form-field ansätze (2.8), (3.6) and (4.2), and verify that substituting them into the higher-dimensional equations of motion reproduces the lower-dimensional equations with every $mu_i$-dependent term cancelling. Using these general formulas they oxidise the charged anti-de Sitter black holes of Behrndt-Cvetič-Sabra, Duff-Liu and the seven-dimensional two-charge solutions, and show that the flat-horizon ($k=0$) cases are precisely the decoupling limits of rotating D3-, M2- and M5-branes obtained by rescaling $m$, $sinh alpha$, $r$, $x^mu$ and the angular momenta $ell_i$ and sending the rescaling parameter to zero. The charges of the black hole are read off as angular momenta of the spinning brane, and the event horizon is the brane worldvolume. The authors also give the general single-charge rotating $p$-brane in arbitrary dimensions, obtained by diagonal oxidation of known rotating black holes, and note that the same lifting procedure reinterprets the spherical and hyperbolic horizon black holes as branes whose worldvolumes have those topologies.

Load-bearing premise

The whole construction rests on the truncation being consistent: that plugging the metric and form-field ansätze into the ten- or eleven-dimensional equations of motion produces exactly the lower-dimensional equations with all sphere dependence cancelling, and the authors check this by explicit computation of selected components and by general curvature formulas for odd spheres rather than by a component-by-component proof, while also acknowledging that their $S^4$ truncation is not consistent in general and that their $S^7$ ansatz omits the axions.

Editorial extensions

If this is right

Any solution of the truncated $D=5$, $D=4$ or $D=7$ gauged supergravity — not just the black holes treated here — can be lifted to an exact solution of type IIB or eleven-dimensional supergravity using the explicit ansätze.
The three- and four-charge anti-de Sitter black holes with flat horizons are the same objects as spinning D3-, M2- and M5-branes in their near-horizon decoupling limits, so their thermodynamic behaviour can be computed on either side of the correspondence.
Because the horizon coincides with the brane worldvolume, the horizon topology of the black hole is inherited from the worldvolume topology of the brane, which gives a geometric reading of spherical and hyperbolic horizon solutions as branes with those worldvolumes.
The general single-charge rotating $p$-brane solutions collected in Appendix A, together with the large-charge rescaling of section 5, produce a family of multi-charge black holes in a domain-wall background, with the anti-de Sitter case recovered when a particular parameter vanishes.
The reduction formulas give a concrete route to studying other distortions of the sphere compactification — strings, domain walls, and black holes of other topologies — inside M-theory or string theory.

Reading between the lines

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

The cancellation that makes the sphere reduction work is presented as a check rather than a theorem; a natural extension would be to prove that the ansatz solves the full set of higher-dimensional equations component by component, which would turn the construction from a verified truncation into a classification statement about which sphere compactifications admit scalar-carrying consistent trunca
Because the identification is made between a black hole charge and a brane angular momentum, the same dictionary should translate rotation-based stability statements about spinning branes into statements about the thermodynamic stability of charged anti-de Sitter black holes, and vice versa.
The authors note their $S^4$ truncation is not consistent in general and their $S^7$ ansatz omits the axions; restoring those fields would test whether the conspiracy between metric and form terms survives when the full $N=2$ spectrum is kept, and would decide whether the axion-free embedding is a special case or a genuine restriction.
The observation that the horizon is the brane worldvolume suggests a membrane-paradigm style reading in which horizon fluid properties of these black holes are literally the worldvolume dynamics of the spinning brane, which is a concrete conjecture one could test by comparing transport coefficients computed on each side.

Original abstract

We construct the non-linear Kaluza-Klein ans\"atze describing the embeddings of the U(1)^3, U(1)^4 and U(1)^2 truncations of D=5, D=4 and D=7 gauged supergravities into the type IIB string and M-theory. These enable one to oxidise any associated lower dimensional solutions to D=10 or D=11. In particular, we use these general ans\"atze to embed the charged AdS_5, AdS_4 and AdS_7 black hole solutions in ten and eleven dimensions. The charges for the black holes with toroidal horizons may be interpreted as the angular momenta of D3-branes, M2-branes and M5-branes spinning in the tranverse dimensions, in their near-horizon decoupling limits. The horizons of the black holes coincide with the worldvolumes of the branes. The Kaluza-Klein ans\"atze also allow the black holes with spherical or hyperbolic horizons to be reinterpreted in D=10 or D=11.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.07 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; show every role.

We construct the non-linear Kaluza-Klein ans\"atze describing the embeddings of the U(1)^3, U(1)^4 and U(1)^2 truncations of D=5, D=4 and D=7 gauged supergravities into the type IIB string and M-theory. These enable one to oxidise any associated lower dimensional solutions to D=10 or D=11. In particular, we use these general ans\"atze to embed the charged AdS_5, AdS_4 and AdS_7 black hole solutions in ten and eleven dimensions. The charges for the black holes with toroidal horizons may be interpreted as the angular momenta of D3-branes, M2-branes and M5-branes spinning in the tranverse dimensions, in their near-horizon decoupling limits. The horizons of the black holes coincide with the worldvolumes of the branes. The Kaluza-Klein ans\"atze also allow the black holes with spherical or hyperbolic horizons to be reinterpreted in D=10 or D=11.

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 construct the non-linear Kaluza-Klein ans\"atze describing the embeddings of the U(1)^3, U(1)^4 and U(1)^2 truncations of D=5, D=4 and D=7 gauged supergravities into the type IIB string and M-theory.	contribution 0.98	0.95	0.23	asserted 1.00
s1	These enable one to oxidise any associated lower dimensional solutions to D=10 or D=11.	method 0.54	0.52	0.12	asserted 0.86
s2	In particular, we use these general ans\"atze to embed the charged AdS_5, AdS_4 and AdS_7 black hole solutions in ten and eleven dimensions.	contribution 0.86	0.93	0.42	asserted 1.00
s3	The charges for the black holes with toroidal horizons may be interpreted as the angular momenta of D3-branes, M2-branes and M5-branes spinning in the tranverse dimensions, in their near-horizon decoupling limits.	interpretation 1.00	0.65	0.16	hedged possibility 1.00
s4	The horizons of the black holes coincide with the worldvolumes of the branes.	interpretation 0.87	0.68	0.08	asserted 1.00
s5	The Kaluza-Klein ans\"atze also allow the black holes with spherical or hyperbolic horizons to be reinterpreted in D=10 or D=11.	interpretation 0.48	0.79	0.13	asserted 0.87

What kind of paper the classifier reports this is: theoretical result 0.56 · evidence from proof or derivation 1.00.

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sources read

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References

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Showing 60 of 109 Pith papers that cite this

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Mapping AdS$_4$ quantum gravity via the Bethe Ansatz formula
hep-th 2026-10 accept novelty 8.0 of 10

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hep-th 2024-12 conditional novelty 8.0 of 10

Supersymmetric Euclidean D=4 N=2 gauged supergravity actions and fluxes localize onto R-symmetry fixed points, proving large-N SCFT free-energy formulas and UV-IR relations.
Black hole microstates in AdS$_4$ from supersymmetric localization
hep-th 2015-11 accept novelty 8.0 of 10

The large-N topologically twisted index of ABJM reproduces the Bekenstein-Hawking entropy of supersymmetric AdS4 black holes after extremizing over chemical potentials, providing the first microscopic counting of thes...
Gauged Six-dimensional Supergravity from Massive Type IIA
hep-th 1999-06 accept novelty 8.0 of 10

The Romans F(4) gauged supergravity in six dimensions is shown to arise as a consistent warped S^4 Kaluza-Klein reduction of massive type IIA supergravity.

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Nonlinear striped black branes in the STU model are entropically favored over homogeneous plasma at matched energy, charges, and volume, and connect continuously to the GIKS instability threshold.
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hep-th 2026-09 conditional novelty 7.0 of 10

Holography maps a spinning AdS4 black hole to a 2+1 dimensional spin fluid, giving its equation of state and a stability bound 4πT/ω > 2.77239.
The $\mathcal{N}=4$ Bethe Ansatz beyond $\mathrm{SU}(N)$
hep-th 2026-08 conditional novelty 7.0 of 10

First solutions of the N=4 Bethe Ansatz equations for non-A-type gauge algebras, with the complete B2/C2 solution set in closed form and a numerical G2 solution set.
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hep-th 2026-08 conditional novelty 7.0 of 10

At large Im tau the superconformal index tends to 1, and the authors show that a Picard-Lefschetz analysis of a Lorentzian-inspired bulk integral enforces this by making all exponentially large black hole saddles irre...
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hep-th 2025-08 unverdicted novelty 7.0 of 10

A method is given to compute the D=5 on-shell action via equivariant localization after dimensional reduction to D=4 N=2 gauged supergravity for solutions admitting both the R-symmetry Killing vector and an additional...
Microstates of AdS$_5$ black holes with hypermultiplets
hep-th 2025-02 conditional novelty 7.0 of 10

A new family of rotating AdS5 black holes with nonzero hypermultiplet scalars has horizon entropy matching the superconformal index of the dual SCFTs, at first order in a perturbative expansion around z=1.
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In spherically symmetric Einstein-scalar gravity with conformally invariant boundary conditions, the AdS Penrose inequality holds exactly when a positive mass theorem holds, ruling out neutral, non-rotating holographi...
Consistent Warped $\mathbb R\times T^{1,1}$ Reduction of Heterotic Supergravity
hep-th 2025-01 conditional novelty 7.0 of 10

A warped R × T^{1,1} vacuum of heterotic supergravity preserves 1/4 supersymmetry and reduces consistently to N=1, D=4 supergravity with SU(2)×SU(2) Yang-Mills fields of geometric origin.
Charged Rotating Hairy Black Holes in AdS$_5 \times S^5$: Unveiling their Secrets
hep-th 2024-11 conditional novelty 7.0 of 10

The BPS limit of the newly constructed hairy black holes has zero entropy and a diverging scalar field, so no regular supersymmetric hairy black holes exist in this sector.
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hep-th 2021-06 accept novelty 7.0 of 10

The four-derivative action of minimal 4d N=2 gauged supergravity is fixed by two constants, which holography and localization determine, yielding the first subleading N^{1/2} corrections to AdS4 black hole entropy and...
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New eleven-dimensional supergravity solutions supply the first holographic duals of Argyres-Douglas field theories engineered by M5-branes wrapped on a sphere with an irregular puncture.
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hep-th 2021-04 conditional novelty 7.0 of 10

Each known large-N Bethe Ansatz solution of the N=4 SU(N) superconformal index is matched to a complex Euclidean black hole or Z_m orbifold, with the leading N^2 action and the wrapped-D3-brane exponents agreeing on b...
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The large N superconformal index of 4d N=4 SU(N) SYM contains an exponentially large contribution whose Legendre transform reproduces the Bekenstein-Hawking entropy of rotating BPS black holes in AdS5.
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Consistent supersymmetric Kaluza--Klein truncations with massive modes
hep-th 2009-01 accept novelty 7.0 of 10

A consistent Kaluza-Klein reduction of D=11 supergravity on any Sasaki-Einstein seven-manifold is extended to include the massive breathing-mode multiplet while preserving N=2 supersymmetry at the bosonic level.
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hep-th 2004-01 accept novelty 7.0 of 10

Supersymmetric, asymptotically AdS5 black holes carrying multiple independent electric charges are constructed in five-dimensional gauged supergravity, extending the single-charge minimal case to the three-charge U(1)...
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hep-th 2000-07 accept novelty 7.0 of 10

Wrapped-brane supergravity solutions yield smooth AdS5 compactifications of M-theory, and a general integral argument rules out non-singular Randall-Sundrum and de Sitter compactifications when the scalar potential is...
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hep-th 2000-04 conditional novelty 7.0 of 10

The IIB dilaton and axion are argued, by conjecture plus a full ten-dimensional consistency check, to be a nontrivial function of the five-dimensional E6(6) scalar matrix rather than its SL(2,R) factor alone.
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hep-th 2000-03 conditional novelty 7.0 of 10

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hep-th 1999-11 conditional novelty 7.0 of 10

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hep-th 2026-11 accept novelty 6.0 of 10

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hep-th 2026-10 accept novelty 6.0 of 10

The paper extends the anomaly-polynomial prescription for supersymmetric Casimir energy and Rényi entropy to surface defects in 4d N=4 SYM and 6d (1,0) SCFTs, showing dependence on defect 't Hooft anomalies.
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hep-th 2026-08 conditional novelty 6.0 of 10

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hep-th 2026-06 unverdicted novelty 6.0 of 10

Classification of supersymmetric AdS3 solutions in 7d supergravity yielding M5-brane wrappings on WCP2 and spindle fibrations, with central charges matched via holography and c-extremization.
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hep-th 2026-06 unverdicted novelty 6.0 of 10

Derives Z_{S^1×S^2} ∼ |Z_{S^3_b}|^2 for 3d N=2 SCFTs and links it holographically to supersymmetric AdS4 black hole partition functions, akin to OSV.
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hep-th 2026-02 conditional novelty 6.0 of 10

In a two-flux family of top-down holographic confining theories, the lightest scalar is an approximate dilaton with mass about one tenth of the lightest spin-2 confinement scale, over a wide, untuned region of paramet...
Monodromy Defects in Maximally Supersymmetric Yang-Mills Theories from Holography
hep-th 2025-12 conditional novelty 6.0 of 10

Codimension-2 monodromy defects in p=2,3,4 maximal SYM are realized by re-interpreting spindle solutions, and their defect entanglement entropy is shown to be proportional to the ambient free energy.
Supersymmetric AdS Solitons, Coulomb Branch Flows and Twisted Compactifications
hep-th 2025-11 unverdicted novelty 6.0 of 10

Constructs holographic supergravity solutions for supersymmetric RG flows from 4D SCFTs to confining 3D SQFTs, with universal factorization of observables.
Universal Observables, SUSY RG-Flows and Holography
hep-th 2025-06 conditional novelty 6.0 of 10

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hep-th 2025-01 conditional novelty 6.0 of 10

A new ordered phase of charged N=4 SYM plasma, with a dimension-2 condensate O2 proportional to T^2 at high temperature, is constructed holographically and dominates the microcanonical ensemble.
Instability in ${\cal N}=4$ supersymmetric Yang-Mills theory at finite density
hep-th 2024-12 conditional novelty 6.0 of 10

At equal R-charge chemical potentials, the holographic AdS5-Reissner-Nordström black brane has a negative R-charge diffusion coefficient below a critical μ/T, making the low-temperature phase unstable.
Holographic thermal correlators from recursions
hep-th 2024-12 conditional novelty 6.0 of 10

Holographic thermal correlators and quasinormal modes for two charged AdS5 black holes are expressed through a recurrence-based connection formula for the Heun equation, validated to high numerical precision.
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hep-th 2023-11 unverdicted novelty 6.0 of 10

For m²L²=-2 in AdS black holes with integrable mixed boundary conditions, the cubic coefficient in the near-boundary expansion of the solution-dependent W(φ) is fixed by the boundary deformation to ensure a well-posed...
BPS and near-BPS black holes in $AdS_5$ and their spectrum in $\mathcal{N}=4$ SYM
hep-th 2022-03 accept novelty 6.0 of 10

The paper derives a gap of order N^{-2} between 1/16-BPS black holes in AdS5 and the lightest near-BPS states, and computes the density of states above it using the N=2 super-Schwarzian.
Supersymmetric spindles
hep-th 2021-12 accept novelty 6.0 of 10

Supersymmetric spindle geometries with rotational symmetry fall into exactly two classes, twist and anti-twist, and new twist solutions exist for wrapped D3- and M2-branes.
Multi-charge accelerating black holes and spinning spindles
hep-th 2021-09 conditional novelty 6.0 of 10

New multi-charge rotating AdS2 x spindle solutions of D=4 N=4 gauged supergravity are constructed, with entropy computed from the horizon area and reproduced by extremizing a conjectured entropy function.
M5-branes wrapped on a spindle
hep-th 2021-05 conditional novelty 6.0 of 10

A new class of AdS5 x spindle solutions of seven-dimensional gauged supergravity uplifts to eleven dimensions and reproduces, from the M5-brane anomaly polynomial, the same central charge that the gravity solution gives.
AdS Euclidean wormholes
hep-th 2021-01 accept novelty 6.0 of 10

Euclidean AdS wormholes that beat disconnected saddles exist in string compactifications but are always unstable to brane nucleation, so they cannot dominate the gravitational path integral.
Delayed Deconfinement and the Hawking-Page Transition
hep-th 2020-08 conditional novelty 6.0 of 10

A delayed, first-order deconfinement transition in the complexified N=4 index matrix model reproduces the Hawking-Page temperature, so no new gravitational saddles are needed to resolve the mismatch.
Euclidean Black Saddles and AdS$_4$ Black Holes
hep-th 2020-06 conditional novelty 6.0 of 10

New Euclidean supersymmetric black saddle solutions of the STU model reproduce the topologically twisted index of ABJM for general deformation parameters, not just at the extremum that gives black hole entropy.
Gluing gravitational blocks for AdS black holes
hep-th 2019-09 conditional novelty 6.0 of 10

A universal entropy functional built from glued gravitational blocks reproduces the entropy and horizon scalar values of rotating BPS black holes and strings in AdS4 and AdS5.
Aspects of AdS$_2$ classification in M-theory: Solutions with mesonic and baryonic charges
hep-th 2019-08 conditional novelty 6.0 of 10

The paper gives necessary and sufficient geometric conditions for N=(1,0) AdS2 solutions in M-theory with SU(4)-structure, and presents numerical evidence for a new Q^{1,1,1} solution with both mesonic and baryonic charges.
The Topologically Twisted Index in the 't Hooft Limit and the Dual AdS$_4$ Black Hole Entropy
hep-th 2019-08 conditional novelty 6.0 of 10

The leading term of the ABJM topologically twisted index in the 't Hooft limit equals the Bekenstein-Hawking entropy of the dual AdS4 black holes, with sub-leading terms including a predicted -(7/6) log lambda contribution.
A 4d N=1 Cardy Formula
hep-th 2019-04 conditional novelty 6.0 of 10

The superconformal index of a 4d N=1 SCFT grows exponentially in the Cardy limit at a rate set by 3c-2a, and its Legendre transform reproduces the Bekenstein-Hawking entropy of AdS5 black holes.
Entropy functions of BPS black holes in AdS$_4$ and AdS$_6$
hep-th 2018-11 conditional novelty 6.0 of 10

Two new entropy functions, for BPS black holes in AdS4 and AdS6, extremize to the entropies and charge relations of the known analytic solutions.
Mass-deformed ABJM and Black Holes in AdS$_4$
hep-th 2018-01 conditional novelty 6.0 of 10

The large-N topologically twisted index of the mass-deformed ABJM theory reproduces the Bekenstein-Hawking entropy of a new class of supersymmetric AdS4 black holes asymptotic to the Warner vacuum.
A One-loop Test of Quantum Black Holes in Anti de Sitter Space
hep-th 2017-11 conditional novelty 6.0 of 10

The one-loop logarithmic correction to the entropy of magnetically charged AdS4 black holes, computed in eleven-dimensional supergravity, agrees with the dual field theory's topologically twisted index.
Toward Microstate Counting Beyond Large N in Localization and the Dual One-loop Quantum Supergravity
hep-th 2017-07 conditional novelty 6.0 of 10

The topologically twisted index of ABJM theory carries a -1/2 log N correction, while the near-horizon one-loop supergravity computation gives -2 log N, a discrepancy the authors report but do not resolve.
An extremization principle for the entropy of rotating BPS black holes in AdS$_5$
hep-th 2017-05 conditional novelty 6.0 of 10

The Bekenstein-Hawking entropy of 1/16 BPS rotating black holes in AdS5 x S5 equals the Legendre transform of a Casimir-energy-like functional of four chemical potentials, subject to a linear constraint.
Consistent Type IIB Reductions to Maximal 5D Supergravity
hep-th 2015-06 conditional novelty 6.0 of 10

The full nonlinear reduction ansatz for type IIB supergravity on S5 and the inhomogeneous hyperboloids H^{p,q} is derived, establishing these truncations to maximal 5D SO(p,q) supergravity as consistent.
Dyonic AdS black holes in maximal gauged supergravity
hep-th 2013-11 accept novelty 6.0 of 10

New explicit dyonic anti-de Sitter black hole solutions with up to eight independent electromagnetic charges are constructed, and their thermodynamics is shown to require specific boundary conditions for the gauge fields.
BPS Black Holes in AdS4 from M-theory
hep-th 2013-05 conditional novelty 6.0 of 10

Supersymmetric AdS4 black holes in M-theory compactifications on Sasaki-Einstein seven-manifolds admit a four-parameter family of horizon solutions in the Q111 case, with explicit numerical interpolating solutions con...

See all 109 Pith citations

How later papers used it

281 later papers cite it

Evidence: substantial. 258 of the citing papers share no author with it, and 46 of those carry a confident label from Pith's citation classifier.

Pith read 40 of the 559 citing sentences, choosing only those whose citation markers point at this paper alone, and wrote the paraphrases from them. The summary, the counts, the evidence level, the links and the quotes come from code; the summary counts the papers listed below. A later paper is listed under a label when Pith's citation classifier gives one of its sentences that label at probability 0.8 or more (0.95 for support), Pith's reading finds that the citing paper itself did it, and a second check confirms the paraphrase against the sentence. This section lists uses only. It does not list criticism or disagreement, so their absence here says nothing about how the paper has been received. Papers that share an author with this one are listed apart, under "By the same authors". A quote is the citing authors' own sentence, shown when their paper's licence is CC BY, CC BY-SA or CC0. JSON

17 later papers by other authors are listed below: 1 built on it and 16 used its method or tool. 1 more paper by the same authors is listed: 1 compared its own results with it.

Builds on it 1 of 5 papers with this label

Showed that for the analytic black hole geometries with four electric charges found in this paper, or the magnetic analogues it writes down, an eta=1 geometry is obtained in the far IR as T goes to zero after setting one charge to zero.

Semi-local quantum criticality in string/M-theory (2012) · 0.85 · paraphrased: the licence does not allow quoting

Uses its method or tool 16 of 35 papers with this label

Uplifted its 5D gauged supergravity solution to 10D using the formulae in this paper.

Gravity Dual of Two-Dimensional $\mathcal{N} = (2,2)^*$ Supersymmetric Yang-Mills Theory and Integrable Models (2017) · 1.00 · paraphrased: the licence does not allow quoting
Uplifted its five-dimensional supergravity solutions to ten dimensions using the formulae in this paper, obtaining supersymmetric type IIB solutions.

Two-dimensional SCFTs from wrapped branes and c-extremization (2013) · 1.00 · paraphrased: the licence does not allow quoting
Employed this paper's uplift formula for U(1)^2-gauged supergravity in seven dimensions to eleven-dimensional supergravity.

A gravity interpretation for the complex Euclidean saddles of the ABJM index (2026) · 1.00 · paraphrased: the licence does not allow quoting
Using the uplifting formula in [ref] the metric is [equation] with [equation] Note that $X_0=X_2$ for the disc.

Holographic duals of M5-branes on an irregularly punctured sphere (2022) · 11d uplift and regularity · 1.00
Utilized the explicit uplift formulae derived in this paper.

Four-Dimensional SCFTs from M5-Branes (2012) · 1.00 · paraphrased: the licence does not allow quoting
Uplifted its solution on S^7, or an orbifold thereof, to D=11 supergravity using the formulae in this paper.

Magnetic and electric AdS solutions in string- and M-theory (2011) · 0.99 · paraphrased: the licence does not allow quoting
Used the 10d uplift formula of this paper to write its general black hole metric.

Probing Supersymmetric Black Holes with Surface Defects (2023) · 0.99 · paraphrased: the licence does not allow quoting
Uplifted its solution to ten dimensions using this paper.

Rotating multi-charge spindles and their microstates (2021) · 0.98 · paraphrased: the licence does not allow quoting
Started with the various reduction ansätze given in this paper.

The Entropy for General Extremal Black Holes (2010) · 0.98 · paraphrased: the licence does not allow quoting
Analyzed the uplifted geometry locally around a puncture using the uplift formulae of this paper.

Wrapped Branes and Punctured Horizons (2019) · 0.97 · paraphrased: the licence does not allow quoting
Lifted its 5d near-horizon geometries in U(1)^3 gauged supergravity to type IIB supergravity using this paper.

Near-horizon geometries of supersymmetric AdS(5) black holes (2007) · 0.97 · paraphrased: the licence does not allow quoting
Obtained its two-parameter family of eleven-dimensional AdS_5 solutions from the seven-dimensional solutions by the uplift formulae of this paper.

AdS/CFT Dual Pairs from M5-Branes on Riemann Surfaces (2011) · 0.96 · paraphrased: the licence does not allow quoting
Uplifted its solutions on an S^5 to type IIB supergravity using the formulae in this paper.

D=5 SU(2)xU(1) Gauged Supergravity from D=11 Supergravity (2007) · 0.92 · paraphrased: the licence does not allow quoting
Uplifted its solution to d=11 using section 4 of this paper and its formula.

N = 2 SCFTs: An M5-brane perspective (2010) · 0.94 · paraphrased: the licence does not allow quoting
Began with the five dimensional truncation of this paper, with two scalar fields and three Maxwell fields governed by its action.

Instability of a magnetized QGP sourced by a scalar operator (2018) · 0.80 · paraphrased: the licence does not allow quoting
Following this paper, wrote the metric in D=11.

M5-branes wrapped on a spindle (2021) · 0.94 · paraphrased: the licence does not allow quoting

Compares with it 1 of 8 papers with this label · 1 by the same authors

By the same authors

These configurations agree with those in [ref] if one identifies $β_i^there=i β_i^here$ in the hyperbolic case.]

Singular limits in STU supergravity (2023) (same authors) · AdS-BH limits · 1.00

How the literature uses it

265 arXiv papers cite this in 533 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 · 366 sentences without a confident label

Contests it 4 papers

The uplift formula, [ref] , is given for the metric, [equation] and for the self-dual five-form flux, $F_(5) = G_(5)+*G_(5)$,[A sign error in the second term of the formula in [ref] is corrected in [ref] and [ref] .] [equation] where we define [equation] and $vol_5$ and $*_5$ denote the volume form and the Hodge dual with respect to the five-dimensional metric, $ds_5^2$, respectively.

D3-branes and M5-branes wrapped on a topological disc · Uplift to type IIB supergravity · contest 0.76
Any supersymmetric solution of this model can be uplifted on $S^5$ to give a supersymmetric solution of type IIB supergravity using the results of [ref] .[As pointed out in [ref] there is a typo in the five-form flux in [ref] .

Supersymmetric spindles · The $D=5$ gauged supergravity model · contest 0.80
As in [ref] we have corrected the sign of the second factor in [ref], compared with the expression given in [ref] .

Twisted D3-brane and M5-brane compactifications from multi-charge spindles · Local form of the solutions · contest 0.81

Builds on it 5 papers

Nonetheless, extending the arguments of [ref] , it was shown in[See [ref] for related earlier work.] [ref] that RN black holes in $AdS_5×S^5$ have instabilities involving a combination of off-diagonal gauge fields and neutral scalars, when interpreted within STU consistent truncation [ref] of type IIB supergravity.

The ordered phase of charged N=4 SYM plasma · Introduction and summary · 0.88
We show that for the class of analytic black hole geometries with four electric charges found in [ref] , or the magnetic analogues which we write down here, we can obtain an $η=1$ geometry in the far IR as $T→0$ after setting one of the charges to zero.

Semi-local quantum criticality in string/M-theory · Introduction · 0.85
These solutions are double analytic continuations of a particular case of the electrically charged black hole solutions of the $U(1)^3$ truncation of the maximal gauged supergravity in five dimensions theory [ref] , which oxidize to spinning D3 branes in 10 dimensions.

Supersymmetric AdS Solitons and the interconnection of different vacua of ${\cal N}=4$ Super Yang-Mills · New AdS soliton in Type IIB supergravity · 0.87

Uses its method or tool 36 papers

We employ the general uplift formulas detailed in Section [ref] and first outlined in [ref] .

K\"ahler Uniformization from Holographic Renormalization Group Flows of M5-branes · Uplift to eleven-dimensional M-theory · 1.00
The $7d$ solutions above were uplifted in [ref] using the standard ansatz for the Kaluza-Klein (KK) reduction of $11d$ SUGRA on $S^4$ [ref] ; namely, the $11d$ metric and four-form flux are given by the $7d$ data as follows,

Holographic Weyl Anomalies for 4d Defects in 6d SCFTs · Two-charge solutions · 0.83
As we discussed in the text, the way of constructing the gravity dual of the 2D $𝒩=(2,2)^*$ super Yang-Mills theory is to first find the solution in the 5D $𝒩=2$ gauged supergravity and then uplift it to 10D using the formulae in Ref. [ref] .

Gravity Dual of Two-Dimensional $\mathcal{N} = (2,2)^*$ Supersymmetric Yang-Mills Theory and Integrable Models · RR 5-Form Flux · 1.00

Compares with it 7 papers

Note that in the special case when the gauge field is in the Cartan direction, the uplift given becomes identical to that of the $U(1)^3$ abelian gauged supergravity in five dimensions [ref] , used in [ref] .

Super-R\'enyi Entropy & Wilson Loops for N=4 SYM and their Gravity Duals · Uplift to Ten Dimensions · 0.91
We shall discuss here only the cases of sphere reductions (collected in Table [ref]), where our formulae can be compared with known uplift results [ref] .

Consistent truncations from the geometry of sphere bundles · Introduction · 0.98
These configurations agree with those in [ref] if one identifies $β_i^there=i β_i^here$ in the hyperbolic case.]

Singular limits in STU supergravity · AdS-BH limits · 1.00

Cites it as support 1 paper

Of course, the well-known consistent KK reductions of $D=11$ supergravity on $S^4$ [ref] and $S^7$ [ref] , or of IIB supergravity[No complete reduction ansatz of IIB supergravity on $S^5$ has been yet constructed.] on $S^5$ (see, e.g., [ref] ), related to the maximally supersymmetric solutions $AdS_7 ×S^4$, $AdS_4 ×S^7$ and $AdS_5 ×S^5$, respectively, are also examples supporting the conjecture.

D=5 SU(2)xU(1) Gauged Supergravity from D=11 Supergravity · Introduction · 0.97

Cites it as background 79 papers

In [ref] (GIKS) the authors argued that the extremal limit is never achieved[Identical phenomenon occurs in other holographic models as well [ref] .]: there is a critical temperature, more precisely the critical value of $T/μ$, below which the charged SYM plasma is unstable to fluctuations of the off-diagonal gauge fields and the neutral scalars of the bulk gravitational description, when interpreted within STU consistent truncation [ref] of type IIB supergravity.

On the relevance of GIKS instability of charged N=4 SYM plasma · Introduction · 0.86
For more details we refer the reader to [ref] and [ref] .

The Topologically Twisted Index in the 't Hooft Limit and the Dual AdS$_4$ Black Hole Entropy · Dual magnetically charged asymptotically AdS$_4$ black holes · 0.92
The STU-model of [ref] describes the $U(1)^4$-invariant sector of the $SO(8)$-gauged maximal supergravity [ref] .

Euclidean flows, solitons and wormholes in AdS from M-theory · Euclidean supergravity · 0.91

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.

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