1/16-BPS Black Holes and Giant Gravitons in the AdS_5 X S^5 Space

Ki-Myeong Lee; Seok Kim

RECORD

1/16-BPS Black Holes and Giant Gravitons in the AdS_5 X S^5 Space

Seok Kim, Ki-Myeong Lee

High Energy Physics - Theory · Submitted 13 Jul 2006

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We point out that the Bekenstein-Hawking entropy of these black holes admits a remarkably simple expression in terms of (dependent) physical charges, which suggests its microscopic origin via certain Cardy or Hardy-Ramanujan formula.

how it is stated · hedged possibility 0.88 read the record →

Comment (0) Read on arXiv ↗

Cite ▾

Claim paper

The compiled record

The paper's own sentences, arranged. 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.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,683 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.22 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.53 · compares with prior results 0.07 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

We explore 1/16-BPS objects of type IIB string theory in AdS_5 * S^5. First, we consider supersymmetric AdS_5 black holes, which should be 1/16-BPS and have a characteristic that not all physical charges are independent. We point out that the Bekenstein-Hawking entropy of these black holes admits a remarkably simple expression in terms of (dependent) physical charges, which suggests its microscopic origin via certain Cardy or Hardy-Ramanujan formula. We also note that there is an upper bound for the angular momenta given by the electric charges. Second, we construct a class of 1/16-BPS giant graviton solutions in AdS_5 * S^5 and explore their properties. The solutions are given by the intersections of AdS_5 * S^5 and complex 3 dimensional holomorphic hyperspaces in C^{1+5}, the latter being the zero loci of three holomorphic functions which are homogeneous with suitable weights on coordinates. We investigate examples of giant gravitons, including their degenerations to tensionless strings.

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 explore 1/16-BPS objects of type IIB string theory in AdS_5 * S^5.	contribution 0.88	0.86	0.06	asserted 0.85
s1	First, we consider supersymmetric AdS_5 black holes, which should be 1/16-BPS and have a characteristic that not all physical charges are independent.	contribution 0.95	0.21	0.08	hedged possibility 0.66
s2	We point out that the Bekenstein-Hawking entropy of these black holes admits a remarkably simple expression in terms of (dependent) physical charges, which suggests its microscopic origin via certain Cardy or Hardy-Ramanujan formula.	result 0.64	0.88	0.20	hedged possibility 0.88
s3	We also note that there is an upper bound for the angular momenta given by the electric charges.	result 1.00	0.73	0.07	asserted 0.99
s4	Second, we construct a class of 1/16-BPS giant graviton solutions in AdS_5 * S^5 and explore their properties.	contribution 1.00	0.96	0.08	asserted 1.00
s5	The solutions are given by the intersections of AdS_5 * S^5 and complex 3 dimensional holomorphic hyperspaces in C^{1+5}, the latter being the zero loci of three holomorphic functions which are homogeneous with suitable weights on coordinates.	contribution 0.54	0.84	0.08	asserted 1.00
s6	We investigate examples of giant gravitons, including their degenerations to tensionless strings.	contribution 0.96	0.92	0.07	asserted 0.98

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 v2

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

The paper

Original abstract

We explore 1/16-BPS objects of type IIB string theory in AdS_5 * S^5. First, we consider supersymmetric AdS_5 black holes, which should be 1/16-BPS and have a characteristic that not all physical charges are independent. We point out that the Bekenstein-Hawking entropy of these black holes admits a remarkably simple expression in terms of (dependent) physical charges, which suggests its microscopic origin via certain Cardy or Hardy-Ramanujan formula. We also note that there is an upper bound for the angular momenta given by the electric charges. Second, we construct a class of 1/16-BPS giant graviton solutions in AdS_5 * S^5 and explore their properties. The solutions are given by the intersections of AdS_5 * S^5 and complex 3 dimensional holomorphic hyperspaces in C^{1+5}, the latter being the zero loci of three holomorphic functions which are homogeneous with suitable weights on coordinates. We investigate examples of giant gravitons, including their degenerations to tensionless strings.

Human review

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

References

Forward citations

Cited by 19 Pith papers

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

The Giant Graviton Expansion
hep-th 2021-09 conditional novelty 8.0 of 10

The finite-N superconformal index equals its large-N limit times one plus a sum over k of x^{kN} times the index of k giant-graviton worldvolume theories, a relation tested to high order across many theories.
Large AdS black holes from QFT
hep-th 2018-10 conditional novelty 8.0 of 10

The N=4 super-Yang-Mills index in a generalized Cardy limit yields an entropy that saturates the Bekenstein-Hawking entropy of known BPS AdS5 black holes, counting their microstates from the gauge theory side.
Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS$_{\bf 5}$ black holes
hep-th 2018-10 accept novelty 8.0 of 10

A localization computation in the dual N=1 SCFT reproduces the Bekenstein-Hawking entropy of supersymmetric AdS5 black holes via a constrained Legendre transform.
Black holes in 4d $\mathcal{N}=4$ Super-Yang-Mills
hep-th 2018-12 accept novelty 7.0 of 10

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.
Twisted BPS decoupling limits and AdS/CFT
hep-th 2026-09 conditional novelty 6.0 of 10

Twisted BPS decoupling limits of strings on AdS5 x S5 are defined as single-step limits, yielding non-relativistic sigma-models on symplectic U(1)-Galilean spaces, and extended to D-branes and to Spin Matrix theory limits.

Show 14 more citing papers

Instability of Black Holes in AdS$_3 \times S^3$
hep-th 2025-07 conditional novelty 6.0 of 10

Near-extremal AdS3 x S3 black holes are thermodynamically and dynamically unstable, decaying to a central black hole plus chiral primaries or new macroscopic giant strings.
Corrections to AdS$_5$ Black Hole Thermodynamics from Higher-Derivative Supergravity
hep-th 2022-08 accept novelty 6.0 of 10

The four-derivative corrected on-shell action of the charged rotating AdS5 black hole reproduces the full first line of the second-sheet superconformal index, including the mixed anomaly term, and yields a BPS entropy...
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.
Superconformal indices at large $N$ and the entropy of AdS$_5$ $\times$ SE$_5$ black holes
hep-th 2020-05 conditional novelty 6.0 of 10

The large-N superconformal index, evaluated on a single conjectured dominant Bethe vacuum, reproduces the Bekenstein-Hawking entropy of BPS Kerr-Newman black holes in AdS5 x S5 and AdS5 x T^{1,1} for arbitrary conserv...
The asymptotic growth of states of the 4d N=1 superconformal index
hep-th 2019-04 conditional novelty 6.0 of 10

The superconformal index of four-dimensional N=1 theories grows exponentially at large charge, and the growth rate equals the Bekenstein-Hawking entropy of dual AdS5 black holes.
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.
Extremal AdS Black Holes as Fluids: A Matrix Large-Charge EFT Approach
hep-th 2025-07 conditional novelty 5.0 of 10

Promoting the large-charge scalar to an N by N adjoint matrix gives a mean-field fluid whose stress tensor matches extremal AdS5 black holes, while its mode-counted entropy remains parametrically below the black hole entropy.
Microscopic Entropy of Rotating Electrically Charged AdS$_4$ Black Holes from Field Theory Localization
hep-th 2019-09 conditional novelty 5.0 of 10

Localization of the ABJM theory on a complexified S^2-fibered-over-S^1 background yields, at large N and in the Cardy limit, the entropy function of rotating electrically charged BPS AdS4 black holes.
The BPS limit of rotating AdS black hole thermodynamics
hep-th 2019-06 conditional novelty 5.0 of 10

The supergravity on-shell action in a complexified BPS limit reproduces the conjectured entropy functions for rotating AdS black holes in four through seven dimensions.
Quantum Black Hole Entropy from 4d Supersymmetric Cardy formula
hep-th 2019-01 conditional novelty 5.0 of 10

The supersymmetric Cardy formula applied to 4d N=4 super Yang-Mills yields S = 2π√(Q1Q2+Q1Q3+Q2Q3-2c(J1+J2)), matching Bekenstein-Hawking entropy at large N and, with a modified dictionary, at finite N.
1/16 BPS States in N=4 SYM
hep-th 2013-05 conditional novelty 5.0 of 10

At infinite N the 1/16 BPS operators of N=4 SYM are exactly the multi-graviton states of AdS5xS5, and the authors conjecture this holds at finite N, leaving the entropy of large 1/16 BPS black holes unexplained.
Classification of near-horizon geometries of extremal black holes
hep-th 2013-06 accept novelty 4.0 of 10

A unified survey of near-horizon geometries of extremal black holes, with new complete classifications in three-dimensional vacuum and Einstein-Maxwell-Chern-Simons theory and for homogeneous five-dimensional horizons.
Black Holes as Effective Geometries
hep-th 2008-11 conditional novelty 3.0 of 10

Supersymmetric black holes can be viewed as effective coarse-grained geometries built from horizon-free microstates, but the finite-area case rests on heuristic quantization arguments.
Lectures on AdS Black Holes, Holography and Localization
hep-th 2019-02 accept novelty 2.0 of 10

Localization computations of a topologically twisted index in the dual conformal field theory reproduce, at large N, the Bekenstein-Hawking entropy of dyonic AdS4 black holes, and the lectures survey the analogous pro...

How the literature uses it

44 arXiv papers cite this in 71 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 · 45 sentences without a confident label

Builds on it 2 papers

S_BPS = 2πℓ[1/2∑_IC^IJKQ_J^=1Q_K^=1 -_̨5^2ℓ/4π^2(J^=1-4π^2/3_̨5^2 C_IJKv_(0)^Iv_(0)^Jv_(0)^K)]^1/2 , which generalizes the formula obtained in [ref] (see also [ref] ) to 1/4 BPS black holes with non-trivial magnetic flux on the boundary.[The expression obtained is [ref] amounts to using different values for the parameter $$ in the definition of the electric charges and angular momentum.

Black hole superpotential as a unifying entropy function and BPS thermodynamics · Supersymmetric attractor and black hole entropy · 0.98
This is an adaptation to the AdS$_3 ×S^3$ giant strings of the connection [ref] between the two formalisms of supersymmetry for the AdS$_5 ×S^5$ giant gravitons used e.g. in [ref] and in [ref] .

Instability of Black Holes in AdS$_3 \times S^3$ · Supersymmetric Giant Strings · 0.88

Uses its method or tool 2 papers

The electromagnetic fields on the $$s and $$s may be quantised by treating them as small fluctuations around the zero-field vacuum in a fashion analogous to [ref] .

Black Hole Giants · General Solution · 0.94
To this end, it is advantageous to use a 12 dimensional embedding space $^ 1, 2 ×^3$ with coordinates $( Z^0, Z^1, Z^2, W^1, W^2, W^3)$, as in [ref] .

Holography of BPS surface operators · Supersymmetry of the probe brane · 0.98

Uses its data or values 1 paper

The entropy for these black holes was computed in [ref] and reads S= 2π√(Q_1 Q_2+Q_1 Q_3+Q_2 Q_3-πℓ_5^3 4 G_N (J_1+J_2)),where $ℓ_5$ is the $_5$ radius and $G_N$ is the the five-dimensional Newton constant.

Delayed Deconfinement and the Hawking-Page Transition · Black Hole Entropy and Hawking-Page Phase Transition · 0.97

Compares with it 7 papers

Remarkably, we find that the set of supersymmetries common to all these static defects coincides precisely with those preserved by the most general giant and dual-giant configurations in $AdS_5×S^5$ derived in [ref] .

On BPS Strings in ${\mathcal N}=4$ Yang-Mills Theory · Introduction · 0.95
At large $N$ the entropy scales as S π̄(√(3) |Q| - 4 c J_1+J_2/√(3) |Q| ) + 𝒪(1) , as consistent with the Bekenstein-Hawking entropy of AdS$_5$ black holes given by [ref] S_BH π̄√(3 Q^2 - 8 c (J_1+J_2)) .

The asymptotic growth of states of the 4d N=1 superconformal index · Introduction · 0.86
We illustrate that the Mikhailov giants [ref] and the wobbling dual-giants of [ref] are solutions to our set of BPS equations and compare our analysis with the results of Kim and Lee [ref] .

Counting Wobbling Dual-Giants · Introduction · 1.00

Cites it as background 10 papers

Later on a more general construction of possible giants and dual-giants has been carried out [ref] .

Supersymmetric Electromagnetic Waves on Giants and Dual-Giants · Introduction · 0.93
The giant graviton solutions carrying angular momenta in $AdS_5$ are constructed in [ref] , which takes advantage of the embedding of $AdS_5×S^5$ in $ℂ^2+1×ℂ^3$ equipped with a flat metric with two negative signatures.

Comments on 1/16 BPS Quantum States and Classical Configurations · Upper bound, exact degeneracy and (dual) giant gravitons · 0.82
The derivations of supersymmetric giants in [ref] start with spinors in an auxiliary 12-dimensional Lorentian geometry with two time-like directions: ℂ^1,2 ×ℂ^3 with coordinates (Φ_0, Φ_1, Φ_2; Z_1, Z_2, Z_3) , where $AdS_5 ×S^5$ is given by two real conditions -|Φ_0|^2 + |Φ_1|^2 + |Φ_2|^2 = - l^2 and |Z_1|^2 + |Z_2|^2 + |Z_3|^2 = l^2 .

Counting Wobbling Dual-Giants · Introduction · 0.84

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.