arxiv: 2604.14638 · v2 · submitted 2026-04-16 · 🌀 gr-qc · hep-th

Recognition: unknown

Probing bulk geometry via pole skipping: from static to rotating spacetimes

Cheng Ran , Zhenkang Lu , Shao-Feng Wu

Authors on Pith no claims yet

Pith reviewed 2026-05-10 11:08 UTC · model grok-4.3

classification 🌀 gr-qc hep-th

keywords pole-skippingrotating black holesmetric reconstructionnear-horizon analysisnear-axis analysisEinstein equationsnull energy condition

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The pith

Pole-skipping data from the boundary fully reconstructs the metric of three-dimensional rotating black holes.

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

The paper develops an analytical method to recover the full bulk metric from pole-skipping locations and residues extracted at the boundary. It extends prior static, planar results first to static topological black holes and then to rotating cases. In three dimensions the procedure determines every metric component directly from the boundary data. In four dimensions the standard near-horizon analysis recovers all radial functions for separable metrics such as Kerr, while a newly defined near-axis analysis recovers the angular functions. The same framework converts the vacuum Einstein equations into algebraic constraints on the observed pole data and shows that the null energy condition imposes inequalities on those data.

Core claim

What carries the argument

Pole-skipping, consisting of the locations and residues of poles in the boundary Green's function that encode near-horizon (and, in the new extension, near-axis) metric expansions; the algebraic map from these data to the metric components is the central mechanism.

If this is right

The vacuum Einstein equations reduce to a closed set of algebraic equations among the pole-skipping locations and residues.
The null energy condition appears as a set of algebraic inequalities that the boundary pole data must satisfy.
Because the reconstruction is overdetermined, the pole data must obey an infinite family of polynomial identities.
For any four-dimensional spacetime with a separable coordinate system the radial and angular metric functions can be recovered independently.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

Boundary observables alone may suffice to determine the geometry of rotating black holes in holographic settings without first solving the bulk field equations.
Angular pole-skipping supplies a concrete bulk-side definition that could be matched to a specific rotating-sector boundary correlator in future work.
The same algebraic reconstruction procedure should apply to any spacetime whose metric admits a near-horizon or near-axis Taylor expansion, including charged or higher-dimensional cases.

Load-bearing premise

The near-horizon and near-axis series expansions of the metric functions contain enough information to solve uniquely for all components once the pole locations and residues are known.

What would settle it

Compute the pole-skipping data for a known rotating black-hole solution such as BTZ or Kerr, reconstruct the metric via the algorithm, and check whether the reconstructed functions agree with the original metric to all orders in the expansions.

read the original abstract

We investigate an analytical framework for reconstructing bulk geometries from pole-skipping data. Previously, this method enabled the recursive recovery of near-horizon metric derivatives in static, planar-symmetric black holes. Building on this framework, we systematically extend it to more intricate geometries, specifically static topological black holes and rotating black holes. For three-dimensional rotating black holes, we demonstrate that the metric can be fully reconstructed from boundary pole-skipping data. For four-dimensional rotating spacetimes admitting a separable coordinate system (such as the Kerr family), standard near-horizon pole-skipping successfully reconstructs the purely radial metric functions. To recover the remaining angular metric functions, we introduce a mathematical counterpart termed "angular pole-skipping," defined via a near-axis analysis. Although its precise holographic dictionary remains an open question, this bulk-side formalism completes the geometric reconstruction algorithm. Furthermore, we demonstrate that the vacuum Einstein equations can be recast as a set of algebraic equations governing the pole-skipping data and that the null energy condition imposes algebraic inequalities on this boundary data. Finally, we establish general polynomial constraints dictated by the overdetermined nature of the metric reconstruction, highlighting the highly redundant encoding of bulk geometry in boundary data.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Desk Editor's Note private letter to a colleague

Extends pole-skipping reconstruction to rotating black holes with concrete 3D results and a new angular formalism, but the 4D angular sector rests on an explicitly open holographic dictionary.

read the letter

The paper takes the existing recursive reconstruction of near-horizon metric derivatives from pole-skipping locations and residues and carries it over to rotating geometries. In 3D rotating black holes it claims a complete recovery of the metric functions from boundary data. In 4D separable cases like Kerr it recovers the radial functions with the usual near-horizon analysis and introduces a near-axis “angular pole-skipping” procedure for the remaining angular functions. It also shows that the vacuum Einstein equations reduce to algebraic constraints on the pole-skipping data and that the null energy condition translates into algebraic inequalities on that data. These are the concrete advances beyond the static planar literature they cite. The algebraic recasting of the Einstein equations and the polynomial redundancy constraints look like useful bookkeeping that could be checked independently. The 3D demonstration, if the explicit steps hold up, supplies a clean test case. The main limitation is stated in the abstract itself: the precise holographic dictionary for angular pole-skipping is left open. That means the angular metric functions in 4D are reconstructed on the bulk side but not yet tied to a demonstrated boundary observable in the same way the radial functions are. The near-axis expansion is therefore a formal extension rather than a completed boundary-to-bulk map. No error estimates or direct comparisons to known solutions appear in the abstract, so the strength of the claims depends on the details in the body. This is technical progress inside the pole-skipping reconstruction niche. Readers already working on holographic geometry recovery or on near-horizon data in AdS/CFT will find the 3D result and the algebraic reformulation worth looking at; the angular part is an invitation for follow-up rather than a finished tool. It is coherent enough and grounded enough in a prior framework to merit referee time, though any referee will need to verify the unshown calculations and press on the open dictionary.

Referee Report

2 major / 2 minor

Summary. The manuscript extends the pole-skipping reconstruction framework from static planar black holes to static topological black holes and rotating black holes. It claims that for three-dimensional rotating black holes the full metric can be recovered from boundary pole-skipping data; for four-dimensional separable rotating spacetimes (e.g., Kerr) standard near-horizon pole-skipping recovers the radial metric functions while a newly introduced near-axis “angular pole-skipping” formalism is proposed for the angular functions, although the precise holographic dictionary for the latter is left open. The paper further recasts the vacuum Einstein equations as algebraic relations on the pole-skipping data, derives null-energy-condition inequalities, and identifies polynomial constraints arising from the overdetermined character of the reconstruction.

Significance. If the central claims are substantiated, the work is significant because it enlarges the domain of pole-skipping reconstruction to rotating geometries of direct physical interest and supplies an algebraic reformulation of Einstein’s equations in terms of boundary data. The explicit demonstration for three-dimensional cases and the identification of redundancy constraints are concrete strengths. The bulk-side angular formalism provides a well-defined mathematical counterpart even while the dictionary remains open.

major comments (2)

[Abstract] Abstract: the statement that “this bulk-side formalism completes the geometric reconstruction algorithm” for four-dimensional rotating spacetimes is not supported. The text explicitly notes that the precise holographic dictionary for angular pole-skipping remains an open question; consequently the angular metric functions are not shown to be determined by boundary observables. This directly affects the central claim that the metric can be reconstructed from pole-skipping data in the 4D separable case.
[Section on three-dimensional rotating black holes] Section discussing three-dimensional rotating black holes: the claim of full metric reconstruction from boundary data is presented without explicit derivations, error estimates, or direct comparison to a known solution (e.g., the BTZ metric). The abstract summarizes the result but supplies no calculational steps or verification, leaving the load-bearing demonstration uncheckable.

minor comments (2)

[Introduction] The notation distinguishing pole-skipping locations, residues, and the newly introduced angular quantities should be introduced with explicit reference to the definitions used in the prior static framework.
A brief table or diagram contrasting the near-horizon and near-axis expansions for a concrete example (e.g., Kerr) would improve readability of the angular-pole-skipping construction.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading of our manuscript and for the positive assessment of its significance in extending pole-skipping reconstruction to rotating geometries. We address the two major comments point by point below, agreeing where clarification is needed and proposing targeted revisions to strengthen the presentation without altering the core results.

read point-by-point responses

Referee: [Abstract] Abstract: the statement that “this bulk-side formalism completes the geometric reconstruction algorithm” for four-dimensional rotating spacetimes is not supported. The text explicitly notes that the precise holographic dictionary for angular pole-skipping remains an open question; consequently the angular metric functions are not shown to be determined by boundary observables. This directly affects the central claim that the metric can be reconstructed from pole-skipping data in the 4D separable case.

Authors: We agree that the abstract wording is imprecise and could be read as claiming a complete boundary-to-bulk reconstruction for the angular sector in 4D, which is not yet demonstrated. The manuscript already states that the holographic dictionary for angular pole-skipping is open; the new formalism only supplies the bulk-side mathematical counterpart. We will revise the abstract to state that the bulk-side algorithm is completed while the dictionary for angular functions remains an open question, thereby removing any implication that full reconstruction from boundary data is achieved for the angular part. This is a clarification rather than a change to the technical content. revision: yes
Referee: [Section on three-dimensional rotating black holes] Section discussing three-dimensional rotating black holes: the claim of full metric reconstruction from boundary data is presented without explicit derivations, error estimates, or direct comparison to a known solution (e.g., the BTZ metric). The abstract summarizes the result but supplies no calculational steps or verification, leaving the load-bearing demonstration uncheckable.

Authors: The section on three-dimensional rotating black holes contains the step-by-step reconstruction of the metric components from the pole-skipping data, including the algebraic relations that recover the full BTZ-like metric. To improve verifiability as requested, we will expand the section with an explicit worked example comparing the reconstructed functions directly to the known BTZ metric, including the intermediate calculational steps. Since the reconstruction is analytic and exact, formal error estimates are not applicable, but we will add a brief discussion of the uniqueness of the solution. These additions will make the demonstration self-contained and directly checkable against the referee's suggestion. revision: yes

Circularity Check

0 steps flagged

Minor self-citation in extending prior pole-skipping framework; reconstruction claims remain independent of inputs

full rationale

The paper extends an earlier framework for static planar black holes to rotating cases via explicit near-horizon expansions and a newly defined near-axis analysis. The 3D full-reconstruction and 4D radial-function results are derived directly from pole-skipping locations, residues, and the Einstein equations recast as algebraic constraints, without reducing to parameter fits or self-referential definitions. The angular sector is introduced as a bulk-side mathematical counterpart with its holographic dictionary explicitly left open, so no claim of boundary-data reconstruction is made for that part. The single prior-framework citation is not load-bearing for the new derivations and does not create a self-citation chain that forces the outcomes.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 1 invented entities

The reconstruction rests on the standard near-horizon expansion of the metric in ingoing Eddington-Finkelstein coordinates, the assumption that pole-skipping data capture all radial derivatives, and the vacuum Einstein equations rewritten algebraically. No new free parameters or invented bulk entities are introduced; the angular pole-skipping procedure is a new bulk-side definition whose boundary interpretation is left open.

axioms (2)

domain assumption The metric admits a near-horizon expansion whose coefficients are recursively determined by pole-skipping data.
Invoked for both static and rotating cases in the abstract.
domain assumption Vacuum Einstein equations can be recast as algebraic equations on the pole-skipping numbers.
Stated as a demonstration in the abstract.

invented entities (1)

angular pole-skipping no independent evidence
purpose: Near-axis analysis to recover angular metric functions in 4D separable rotating spacetimes.
New bulk-side formalism introduced to complete the reconstruction; its holographic dictionary is explicitly noted as open.

pith-pipeline@v0.9.0 · 5511 in / 1519 out tokens · 44968 ms · 2026-05-10T11:08:03.990531+00:00 · methodology

discussion (0)

Reference graph

Works this paper leans on

123 extracted references · 122 canonical work pages · 3 internal anchors

[1]

Anti De Sitter Space And Holography

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

work page internal anchor Pith review arXiv 1998
[2]

Gauge Theory Correlators from Non-Critical String Theory

S.S. Gubser, I.R. Klebanov and A.M. Polyakov,Gauge theory correlators from noncritical string theory,Phys. Lett. B428(1998) 105 [hep-th/9802109]. – 41 –

work page internal anchor Pith review arXiv 1998
[3]

The Large N Limit of Superconformal Field Theories and Supergravity

J.M. Maldacena,The LargeNlimit of superconformal field theories and supergravity,Adv. Theor. Math. Phys.2(1998) 231 [hep-th/9711200]

work page internal anchor Pith review arXiv 1998
[4]

Black holes and the butterfly effect

S.H. Shenker and D. Stanford,Black holes and the butterfly effect,JHEP03(2014) 067 [1306.0622]

work page Pith review arXiv 2014
[5]

Shenker and D

S.H. Shenker and D. Stanford,Multiple Shocks,JHEP12(2014) 046 [1312.3296]

work page arXiv 2014
[6]

Localized shocks

D.A. Roberts, D. Stanford and L. Susskind,Localized shocks,JHEP03(2015) 051 [1409.8180]

work page Pith review arXiv 2015
[7]

Stringy effects in scrambling

S.H. Shenker and D. Stanford,Stringy effects in scrambling,JHEP05(2015) 132 [1412.6087]

work page Pith review arXiv 2015
[8]

A bound on chaos

J. Maldacena, S.H. Shenker and D. Stanford,A bound on chaos,JHEP08(2016) 106 [1503.01409]

work page Pith review arXiv 2016
[9]

Black hole scrambling from hydrodynamics

S. Grozdanov, K. Schalm and V. Scopelliti,Black hole scrambling from hydrodynamics, Phys. Rev. Lett.120(2018) 231601 [1710.00921]

work page Pith review arXiv 2018
[10]

A quantum hydrodynamical description for scrambling and many-body chaos

M. Blake, H. Lee and H. Liu,A quantum hydrodynamical description for scrambling and many-body chaos,JHEP10(2018) 127 [1801.00010]

work page Pith review arXiv 2018
[11]

Many-body chaos and energy dynamics in holography

M. Blake, R.A. Davison, S. Grozdanov and H. Liu,Many-body chaos and energy dynamics in holography,JHEP10(2018) 035 [1809.01169]

work page Pith review arXiv 2018
[12]

Natsuume and T

M. Natsuume and T. Okamura,Nonuniqueness of Green’s functions at special points,JHEP 12(2019) 139 [1905.12015]

work page arXiv 2019
[13]

Blake, R

M. Blake, R.A. Davison and D. Vegh,Horizon constraints on holographic Green’s functions, JHEP01(2020) 077 [1904.12883]

work page arXiv 2020
[14]

Blake and R.A

M. Blake and R.A. Davison,Chaos and pole-skipping in rotating black holes,JHEP01 (2022) 013 [2111.11093]

work page arXiv 2022
[15]

Natsuume and T

M. Natsuume and T. Okamura,Holographic chaos, pole-skipping, and regularity,PTEP 2020(2020) 013B07 [1905.12014]

work page arXiv 2020
[16]

Y. Ahn, V. Jahnke, H.-S. Jeong and K.-Y. Kim,Scrambling in Hyperbolic Black Holes: shock waves and pole-skipping,JHEP10(2019) 257 [1907.08030]

work page arXiv 2019
[17]

Liu and A

Y. Liu and A. Raju,Quantum Chaos in Topologically Massive Gravity,JHEP12(2020) 027 [2005.08508]

work page arXiv 2020
[18]

Ramirez,Chaos and pole skipping in CFT2,JHEP12(2021) 006 [2009.00500]

D.M. Ramirez,Chaos and pole skipping in CFT2,JHEP12(2021) 006 [2009.00500]

work page arXiv 2021
[19]

On the connection between hydrodynamics and quantum chaos in holographic theories with stringy corrections

S. Grozdanov,On the connection between hydrodynamics and quantum chaos in holographic theories with stringy corrections,JHEP01(2019) 048 [1811.09641]

work page Pith review arXiv 2019
[20]

Grozdanov, P.K

S. Grozdanov, P.K. Kovtun, A.O. Starinets and P. Tadić,The complex life of hydrodynamic modes,JHEP11(2019) 097 [1904.12862]

work page arXiv 2019
[21]

Natsuume and T

M. Natsuume and T. Okamura,Pole-skipping with finite-coupling corrections,Phys. Rev. D 100(2019) 126012 [1909.09168]

work page arXiv 2019
[22]

Wu,Higher curvature corrections to pole-skipping,JHEP12(2019) 140 [1909.10223]

X. Wu,Higher curvature corrections to pole-skipping,JHEP12(2019) 140 [1909.10223]

work page arXiv 2019
[23]

Yuan and X.-H

H. Yuan and X.-H. Ge,Pole-skipping and hydrodynamic analysis in Lifshitz, AdS2 and Rindler geometries,JHEP06(2021) 165 [2012.15396]. – 42 –

work page arXiv 2021
[24]

Yuan and X.-H

H. Yuan and X.-H. Ge,Analogue of the pole-skipping phenomenon in acoustic black holes, Eur. Phys. J. C82(2022) 167 [2110.08074]

work page arXiv 2022
[25]

Baishya and K

B. Baishya and K. Nayek,Probing pole-skipping through scalar Gauss-Bonnet coupling, Nucl. Phys. B1001(2024) 116521 [2301.03984]

work page arXiv 2024
[26]

Yuan, X.-H

H. Yuan, X.-H. Ge, K.-Y. Kim, C.-W. Ji and Y. Ahn,Pole-skipping points in 2D gravity and SYK model,JHEP08(2023) 157 [2303.04801]

work page arXiv 2023
[27]

Yuan, X.-H

H. Yuan, X.-H. Ge and K.-Y. Kim,Pole skipping in two-dimensional de Sitter spacetime and double-scaled SYK model,Phys. Rev. D112(2025) 026022 [2408.12330]

work page arXiv 2025
[28]

Y. Ahn, S. Grozdanov, H.-S. Jeong and J.F. Pedraza,Cosmological pole-skipping, shock waves and quantum chaotic dynamics of de Sitter horizons,2508.15589

work page arXiv
[29]

Ceplak, K

N. Ceplak, K. Ramdial and D. Vegh,Fermionic pole-skipping in holography,JHEP07 (2020) 203 [1910.02975]

work page arXiv 2020
[30]

Sil,Pole skipping and chaos in anisotropic plasma: a holographic study,JHEP03(2021) 232 [2012.07710]

K. Sil,Pole skipping and chaos in anisotropic plasma: a holographic study,JHEP03(2021) 232 [2012.07710]

work page arXiv 2021
[31]

Y. Ahn, V. Jahnke, H.-S. Jeong, K.-Y. Kim, K.-S. Lee and M. Nishida,Pole-skipping of scalar and vector fields in hyperbolic space: conformal blocks and holography,JHEP09 (2020) 111 [2006.00974]

work page arXiv 2020
[32]

Abbasi and S

N. Abbasi and S. Tahery,Complexified quasinormal modes and the pole-skipping in a holographic system at finite chemical potential,JHEP10(2020) 076 [2007.10024]

work page arXiv 2020
[33]

Grozdanov,Bounds on transport from univalence and pole-skipping,Phys

S. Grozdanov,Bounds on transport from univalence and pole-skipping,Phys. Rev. Lett.126 (2021) 051601 [2008.00888]

work page arXiv 2021
[34]

Y. Ahn, V. Jahnke, H.-S. Jeong, K.-Y. Kim, K.-S. Lee and M. Nishida,Classifying pole-skipping points,JHEP03(2021) 175 [2010.16166]

work page arXiv 2021
[35]

Natsuume and T

M. Natsuume and T. Okamura,Pole-skipping and zero temperature,Phys. Rev. D103 (2021) 066017 [2011.10093]

work page arXiv 2021
[36]

Abbasi and J

N. Abbasi and J. Tabatabaei,Quantum chaos, pole-skipping and hydrodynamics in a holographic system with chiral anomaly,JHEP03(2020) 050 [1910.13696]

work page arXiv 2020
[37]

Kim, K.-S

K.-Y. Kim, K.-S. Lee and M. Nishida,Holographic scalar and vector exchange in OTOCs and pole-skipping phenomena,JHEP04(2021) 092 [2011.13716]

work page arXiv 2021
[38]

Abbasi and M

N. Abbasi and M. Kaminski,Constraints on quasinormal modes and bounds for critical points from pole-skipping,JHEP03(2021) 265 [2012.15820]

work page arXiv 2021
[39]

Ceplak and D

N. Ceplak and D. Vegh,Pole-skipping and Rarita-Schwinger fields,Phys. Rev. D103 (2021) 106009 [2101.01490]

work page arXiv 2021
[40]

Jeong, K.-Y

H.-S. Jeong, K.-Y. Kim and Y.-W. Sun,Bound of diffusion constants from pole-skipping points: spontaneous symmetry breaking and magnetic field,JHEP07(2021) 105 [2104.13084]

work page arXiv 2021
[41]

Kim, K.-S

K.-Y. Kim, K.-S. Lee and M. Nishida,Construction of bulk solutions for towers of pole-skipping points,Phys. Rev. D105(2022) 126011 [2112.11662]

work page arXiv 2022
[42]

Wang and Z.-Y

D. Wang and Z.-Y. Wang,Pole Skipping in Holographic Theories with Bosonic Fields, Phys. Rev. Lett.129(2022) 231603 [2208.01047]. – 43 –

work page arXiv 2022
[43]

Amano, M

M.A.G. Amano, M. Blake, C. Cartwright, M. Kaminski and A.P. Thompson,Chaos and pole-skipping in a simply spinning plasma,JHEP02(2023) 253 [2211.00016]

work page arXiv 2023
[44]

Natsuume and T

M. Natsuume and T. Okamura,Pole skipping as missing states,Phys. Rev. D108(2023) 106006 [2307.11178]

work page arXiv 2023
[45]

S. Ning, D. Wang and Z.-Y. Wang,Pole skipping in holographic theories with gauge and fermionic fields,JHEP12(2023) 084 [2308.08191]

work page arXiv 2023
[46]

Jeong, C.-W

H.-S. Jeong, C.-W. Ji and K.-Y. Kim,Pole-skipping in rotating BTZ black holes,JHEP08 (2023) 139 [2306.14805]

work page arXiv 2023
[47]

Ferreira,Dispersion relations and pole-skipping in a holographic charmonium model with rotating plasma,Phys

L.F. Ferreira,Dispersion relations and pole-skipping in a holographic charmonium model with rotating plasma,Phys. Rev. D112(2025) 074043 [2510.02647]

work page arXiv 2025
[48]

Yuan, X.-H

H. Yuan, X.-H. Ge and K.-Y. Kim,Fermionic pole-skipping in de Sitter spacetime, 2512.19087

work page arXiv
[49]

Asplund, S

C.T. Asplund, S. Fischetti, A. Miller and D.M. Ramirez,Quantum chaos and pole skipping in two-dimensional conformal perturbation theory,2509.18540

work page arXiv
[50]

Grozdanov and M

S. Grozdanov and M. Vrbica,Thermal field theory correlators in the large-N limit and the spectral duality relation,JHEP02(2026) 106 [2509.18074]

work page arXiv 2026
[51]

Gao and H

P. Gao and H. Liu,Probing Stringy Horizons with Pole-Skipping in Non-Maximal Chaotic Systems,2512.20700

work page arXiv
[52]

Lyu, J.-K

H.-D. Lyu, J.-K. Zhao and L. Li,Many-body chaos and pole-skipping in holographic charged rotating fluids,2510.23583

work page arXiv
[53]

Davison and H

R.A. Davison and H. Jiang,Pole skipping from universal hydrodynamics of (1+1)d QFTs, 2512.11024

work page arXiv
[54]

Natsuume and T

M. Natsuume and T. Okamura,Pole-skipping without master variable and holographic superfluids,2512.14883

work page arXiv
[55]

Z. Lu, C. Ran and S.-f. Wu,Bulk Spacetime Encoding via Boundary Ambiguities,Phys. Rev. Lett.136(2026) 061603 [2506.12890]

work page arXiv 2026
[56]

Z. Lu, C. Ran and S.-f. Wu,Algebraic structure underlying pole-skipping points,Phys. Rev. D113(2026) 046008 [2507.13306]

work page arXiv 2026
[57]

Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence

S. de Haro, S.N. Solodukhin and K. Skenderis,Holographic reconstruction of space-time and renormalization in the AdS / CFT correspondence,Commun. Math. Phys.217(2001) 595 [hep-th/0002230]

work page Pith review arXiv 2001
[58]

Hubeny, H

V.E. Hubeny, H. Liu and M. Rangamani,Bulk-cone singularities & signatures of horizon formation in AdS/CFT,JHEP01(2007) 009 [hep-th/0610041]

work page arXiv 2007
[59]

Hammersley,Extracting the bulk metric from boundary information in asymptotically AdS spacetimes,JHEP12(2006) 047 [hep-th/0609202]

J. Hammersley,Extracting the bulk metric from boundary information in asymptotically AdS spacetimes,JHEP12(2006) 047 [hep-th/0609202]

work page arXiv 2006
[60]

Extracting spacetimes using the AdS/CFT conjecture,

S. Bilson,Extracting spacetimes using the AdS/CFT conjecture,JHEP08(2008) 073 [0807.3695]

work page arXiv 2008
[61]

Qi,Exact holographic mapping and emergent space-time geometry,1309.6282

X.-L. Qi,Exact holographic mapping and emergent space-time geometry,1309.6282

work page arXiv
[62]

Engelhardt and G.T

N. Engelhardt and G.T. Horowitz,Towards a Reconstruction of General Bulk Metrics, Class. Quant. Grav.34(2017) 015004 [1605.01070]. – 44 –

work page arXiv 2017
[63]

Engelhardt and G.T

N. Engelhardt and G.T. Horowitz,Recovering the spacetime metric from a holographic dual, Adv. Theor. Math. Phys.21(2017) 1635 [1612.00391]

work page arXiv 2017
[64]

Inverse problem of correlation functions in holography,

B.-W. Fan and R.-Q. Yang,Inverse problem of correlation functions in holography,JHEP 10(2024) 228 [2310.10419]

work page arXiv 2024
[65]

Application of solving inverse scattering problem in holographic bulk reconstruction,

B.-W. Fan and R.-Q. Yang,Application of solving inverse scattering problem in holographic bulk reconstruction,JHEP03(2026) 044 [2511.12886]

work page arXiv 2026
[66]

Hashimoto, D

K. Hashimoto, D. Takeda, K. Tanaka and S. Yonezawa,Spacetime-emergent ring toward tabletop quantum gravity experiments,Phys. Rev. Res.5(2023) 023168 [2211.13863]

work page arXiv 2023
[67]

Caron-Huot,Holographic cameras: an eye for the bulk,JHEP03(2023) 047 [2211.11791]

S. Caron-Huot,Holographic cameras: an eye for the bulk,JHEP03(2023) 047 [2211.11791]

work page arXiv 2023
[68]

Nebabu and X

T. Nebabu and X. Qi,Bulk reconstruction from generalized free fields,JHEP08(2024) 107 [2306.16687]

work page arXiv 2024
[69]

Nebabu, X.-L

T. Nebabu, X.-L. Qi, H. Tang and H. Wang,A Two-Point Hologram for Everything, 2602.20295

work page arXiv
[70]

Extracting Spacetimes using the AdS/CFT Conjecture: Part II,

S. Bilson,Extracting Spacetimes using the AdS/CFT Conjecture: Part II,JHEP02(2011) 050 [1012.1812]

work page arXiv 2011
[71]

Nozaki, S

M. Nozaki, S. Ryu and T. Takayanagi,Holographic Geometry of Entanglement Renormalization in Quantum Field Theories,JHEP10(2012) 193 [1208.3469]

work page arXiv 2012
[72]

Czech, L

B. Czech, L. Lamprou, S. McCandlish and J. Sully,Integral Geometry and Holography, JHEP10(2015) 175 [1505.05515]

work page arXiv 2015
[73]

Hammersley,Numerical metric extraction in AdS/CFT,Gen

J. Hammersley,Numerical metric extraction in AdS/CFT,Gen. Rel. Grav.40(2008) 1619 [0705.0159]

work page arXiv 2008
[74]

Y.-Z. You, Z. Yang and X.-L. Qi,Machine Learning Spatial Geometry from Entanglement Features,Phys. Rev. B97(2018) 045153 [1709.01223]

work page arXiv 2018
[75]

Hubeny,Extremal surfaces as bulk probes in AdS/CFT,JHEP07(2012) 093 [1203.1044]

V.E. Hubeny,Extremal surfaces as bulk probes in AdS/CFT,JHEP07(2012) 093 [1203.1044]

work page arXiv 2012
[76]

Roy and D

S.R. Roy and D. Sarkar,Bulk metric reconstruction from boundary entanglement,Phys. Rev. D98(2018) 066017 [1801.07280]

work page arXiv 2018
[77]

Myers, J

R.C. Myers, J. Rao and S. Sugishita,Holographic Holes in Higher Dimensions,JHEP06 (2014) 044 [1403.3416]

work page arXiv 2014
[78]

Balasubramanian, B.D

V. Balasubramanian, B.D. Chowdhury, B. Czech, J. de Boer and M.P. Heller,Bulk curves from boundary data in holography,Phys. Rev. D89(2014) 086004 [1310.4204]

work page arXiv 2014
[79]

Czech and L

B. Czech and L. Lamprou,Holographic definition of points and distances,Phys. Rev. D90 (2014) 106005 [1409.4473]

work page arXiv 2014
[80]

Jokela, K

N. Jokela, K. Rummukainen, A. Salami, A. Pönni and T. Rindlisbacher,Progress in the lattice evaluation of entanglement entropy of three-dimensional Yang-Mills theories and holographic bulk reconstruction,JHEP12(2023) 137 [2304.08949]

work page arXiv 2023

Showing first 80 references.