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arxiv: 2605.28753 · v1 · pith:JWZCLHKOnew · submitted 2026-05-27 · ✦ hep-th · gr-qc

GR from RG, 2d Example: JT-Gravity Induced from Renormalization Group Flow

M.M. Sheikh-Jabbari , V. Taghiloo This is my paper

Pith reviewed 2026-06-29 10:54 UTC · model grok-4.3

classification ✦ hep-th gr-qc
keywords holographic RG flowJT gravity2d CFTT bar T deformationfinite cutoffAdS3/CFT2scalar-tensor gravity
0
0 comments X

The pith

Holographic RG flow of a 2d CFT generates a 2d scalar-tensor gravity theory that reduces to JT gravity.

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

The paper shows that the renormalization group flow applied to the action of a 2d conformal field theory with a 3d holographic dual produces an effective action containing 2d gravity at any finite energy scale. In the simplest setting the flow yields Jackiw-Teitelboim gravity, with the radial lapse function of the bulk geometry supplying the dynamical dilaton. The same construction recovers the standard T bar T deformation when the lapse is held fixed in the Fefferman-Graham gauge. The result is checked for consistency with holographic renormalization and extended to a one-parameter family of boundary conditions, furnishing a first-principles origin for finite-cutoff JT gravity inside the RG flow itself.

Core claim

The RG-corrected action at an arbitrary energy scale contains a 2d scalar-tensor gravity theory. In the simplest case the flow induces Jackiw-Teitelboim gravity, where the bulk radial lapse function seeds the dynamical dilaton field of the JT gravity. The standard T bar T deformation is recovered as a special case in the Fefferman-Graham limit where the lapse is fixed.

What carries the argument

Holographic renormalization group flow of the boundary CFT action in a generic (non-Fefferman-Graham) gauge, with the bulk radial lapse seeding the dilaton.

If this is right

  • The T bar T deformation of the 2d CFT is recovered exactly when the radial lapse is fixed to the Fefferman-Graham value.
  • The induced gravity picture remains consistent after full holographic renormalization.
  • The construction extends without change to a one-parameter family of boundary conditions.
  • JT gravity at finite cutoff appears as an intrinsic output of the RG flow rather than an external input.

Where Pith is reading between the lines

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

  • The same RG mechanism may generate other scalar-tensor theories when the bulk contains additional fields or modified gravity.
  • The approach supplies a concrete route to embed the GR-from-RG program inside standard holographic RG flows.
  • Numerical or lattice realizations of the RG flow could be used to test whether the induced dilaton dynamics match JT gravity predictions.

Load-bearing premise

The three-dimensional bulk is taken to be pure Einstein gravity with negative cosmological constant and no extra fields.

What would settle it

An explicit computation of the RG flow for a concrete 2d CFT whose dual is known to be Einstein-AdS3, followed by direct comparison of the resulting effective action against the JT gravity action.

read the original abstract

We demonstrate how the two-dimensional gravity emerges within ``GR from RG'' program initiated in \cite{Adami:2025pqr, Sheikh-Jabbari:2026uol}. To achieve this, we consider a generic 2d CFT with a 3d holographic description, which we assume to be well-described by pure Einstein-AdS$_3$ gravity in the bulk. We study the holographic RG flow for the 2d CFT action and show that the renormalization group (RG) corrected action at an arbitrary energy scale contains a 2d scalar-tensor gravity theory. In the simplest case, the flow induces Jackiw-Teitelboim (JT) gravity, where the bulk radial lapse function seeds the dynamical dilaton field of the JT gravity. We show that the standard T$\bar{\text{T}}$ deformation of the 2d CFT is recovered as a special case in the Fefferman-Graham limit where the lapse is fixed. We further establish the robustness of the RG induced gravity picture by verifying its consistency under holographic renormalization and by generalizing the result to a one-parameter family of boundary conditions. Our results provide a first-principles derivation of the JT gravity at a finite cutoff as an intrinsic manifestation of the holographic RG flow in a non-Fefferman-Graham gauge

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.

Referee Report

0 major / 1 minor

Summary. The manuscript demonstrates that, within the GR-from-RG program, the holographic RG flow of a generic 2d CFT whose bulk dual is pure Einstein-AdS3 gravity produces an RG-corrected boundary action containing a 2d scalar-tensor gravity theory. In the simplest case this reduces to JT gravity, with the bulk radial lapse supplying the dynamical dilaton. The Fefferman-Graham limit recovers the standard Tar T deformation; consistency is verified under holographic renormalization and for a one-parameter family of boundary conditions, yielding JT gravity at finite cutoff in a non-Fefferman-Graham gauge.

Significance. If the derivation is correct, the work supplies a first-principles derivation of JT gravity at finite cutoff directly from holographic RG flow, furnishing an explicit 2d example that strengthens the GR-from-RG program. The recovery of the known Tar T deformation and the consistency checks under holographic renormalization constitute concrete, falsifiable support for the central claim.

minor comments (1)
  1. [Abstract] Abstract: the summary states the main results and consistency checks but supplies no equations, derivations, or explicit checks; the reader must reach the body of the paper to evaluate the central claim.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for the positive and accurate summary of our work, which correctly identifies the derivation of JT gravity from holographic RG flow of a 2d CFT dual to Einstein-AdS3, the role of the bulk lapse as dilaton, recovery of the Tar T deformation in the Fefferman-Graham limit, and the consistency checks. The recommendation for minor revision is noted. No major comments were listed in the report, so we have no specific points requiring rebuttal or clarification at this stage.

Circularity Check

0 steps flagged

Derivation self-contained under stated holographic assumptions; no circularity

full rationale

The paper explicitly assumes a 2d CFT with pure Einstein-AdS3 bulk dual, then computes the holographic RG flow of the boundary action to obtain an RG-corrected action containing a scalar-tensor theory that reduces to JT gravity (with radial lapse as dilaton). It verifies consistency with holographic renormalization, generalizes to a one-parameter family of boundary conditions, and recovers the TbarT deformation in the Fefferman-Graham limit. The self-citations define only the broader program name; the load-bearing steps are the RG flow equations and holographic renormalization applied to the standard AdS3 setup, which do not reduce to those citations by construction. No fitted parameters renamed as predictions, no self-definitional loops, and no uniqueness theorems imported from self-citations appear in the provided text.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the domain assumption of pure Einstein-AdS3 gravity in the bulk and the standard holographic dictionary; no free parameters or new entities are introduced in the abstract.

axioms (1)
  • domain assumption The 3D bulk is well-described by pure Einstein-AdS3 gravity
    Explicitly stated as the assumption for the holographic description of the 2D CFT.

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discussion (0)

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Reference graph

Works this paper leans on

80 extracted references · 64 canonical work pages · 45 internal anchors

  1. [1]

    Gravity Is Induced By Renormalization Group Flow,

    H. Adami, M. M. Sheikh-Jabbari, and V. Taghiloo, “Gravity Is Induced By Renormalization Group Flow,” 2508.09633

    work page arXiv

  2. [2]

    GR from RG: Gravity Is Induced From Renormalization Group Flow In The Infrared

    M. M. Sheikh-Jabbari and V. Taghiloo, “GR from RG: Gravity Is Induced From Renormalization Group Flow In The Infrared,”2602.11806

    work page internal anchor Pith review Pith/arXiv arXiv

  3. [3]

    Vacuum quantum fluctuations in curved space and the theory of gravitation,

    A. D. Sakharov, “Vacuum quantum fluctuations in curved space and the theory of gravitation,”Dokl. Akad. Nauk Ser. Fiz.177(1967) 70–71

    1967

  4. [4]

    Black holes and entropy,

    J. D. Bekenstein, “Black holes and entropy,”Phys. Rev.D7(1973) 2333–2346

    1973

  5. [5]

    Particle Creation by Black Holes,

    S. W. Hawking, “Particle Creation by Black Holes,”Commun. Math. Phys.43(1975) 199–220. [Erratum: Commun.Math.Phys. 46, 206 (1976)]

    1975

  6. [6]

    Nonlinear Fluid Dynamics from Gravity

    S. Bhattacharyya, V. E. Hubeny, S. Minwalla, and M. Rangamani, “Nonlinear Fluid Dynamics from Gravity,”JHEP02(2008) 045,0712.2456

    work page internal anchor Pith review Pith/arXiv arXiv 2008

  7. [7]

    Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence

    M. Rangamani, “Gravity and Hydrodynamics: Lectures on the fluid-gravity correspondence,”Class. Quant. Grav.26(2009) 224003,0905.4352

    work page internal anchor Pith review Pith/arXiv arXiv 2009

  8. [8]

    The fluid/gravity correspondence,

    V. E. Hubeny, S. Minwalla, and M. Rangamani, “The fluid/gravity correspondence,” inTheoretical Advanced Study Institute in Elementary Particle Physics: String theory and its Applications: From meV to the Planck Scale, pp. 348–383. 2012.1107.5780

    work page arXiv 2012

  9. [9]

    Expectation value of composite field $T{\bar T}$ in two-dimensional quantum field theory

    A. B. Zamolodchikov, “Expectation value of composite field T anti-T in two-dimensional quantum field theory,”hep-th/0401146

    work page internal anchor Pith review Pith/arXiv arXiv

  10. [10]

    On space of integrable quantum field theories

    F. A. Smirnov and A. B. Zamolodchikov, “On space of integrable quantum field theories,”Nucl. Phys. B 915(2017) 363–383,1608.05499

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  11. [11]

    $T \bar{T}$-deformed 2D Quantum Field Theories

    A. Cavaglià, S. Negro, I. M. Szécsényi, and R. Tateo, “T¯T-deformed 2D Quantum Field Theories,”JHEP10 (2016) 112,1608.05534. – 25 –

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  12. [12]

    Moving the CFT into the bulk with $T\bar T$

    L. McGough, M. Mezei, and H. Verlinde, “Moving the CFT into the bulk withTT,”JHEP04(2018) 010, 1611.03470

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  13. [13]

    Holography at finite cutoff with a $T^2$ deformation

    T. Hartman, J. Kruthoff, E. Shaghoulian, and A. Tajdini, “Holography at finite cutoff with aT2 deformation,”JHEP03(2019) 004,1807.11401

    work page internal anchor Pith review Pith/arXiv arXiv 2019

  14. [14]

    TT deformations in general dimensions

    M. Taylor, “T¯Tdeformations in general dimensions,”Adv. Theor. Math. Phys.27(2023), no. 1, 37–63, 1805.10287

    work page internal anchor Pith review Pith/arXiv arXiv 2023

  15. [15]

    Lower Dimensional Gravity,

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

    1985

  16. [16]

    Gravitation and Hamiltonian structure in two space-time dimensions,

    C. Teitelboim, “Gravitation and Hamiltonian structure in two space-time dimensions,”Phys. Lett.B126 (1983) 41

    1983

  17. [17]

    Models of AdS_2 Backreaction and Holography

    A. Almheiri and J. Polchinski, “Models of AdS2 backreaction and holography,”JHEP11(2015) 014, 1402.6334

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  18. [18]

    Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space

    J. Maldacena, D. Stanford, and Z. Yang, “Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space,”PTEP2016(2016), no. 12, 12C104,1606.01857

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  19. [19]

    Chaos in AdS$_2$ holography

    K. Jensen, “Chaos in AdS2 Holography,”Phys. Rev. Lett.117(2016), no. 11, 111601,1605.06098

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  20. [20]

    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) 231–252,hep-th/9711200

    work page internal anchor Pith review Pith/arXiv arXiv 1998

  21. [21]

    Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity,

    J. D. Brown and M. Henneaux, “Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity,”Commun. Math. Phys.104(1986) 207–226

    1986

  22. [22]

    Gauge Theory Correlators from Non-Critical String Theory

    S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, “Gauge theory correlators from non-critical string theory,”Phys. Lett.B428(1998) 105–114,hep-th/9802109

    work page internal anchor Pith review Pith/arXiv arXiv 1998

  23. [23]

    Anti De Sitter Space And Holography

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

    work page internal anchor Pith review Pith/arXiv arXiv 1998

  24. [24]

    The Holographic Bound in Anti-de Sitter Space

    L. Susskind and E. Witten, “The holographic bound in anti-de Sitter space,”hep-th/9805114

    work page internal anchor Pith review Pith/arXiv arXiv

  25. [25]

    UV/IR Relations in AdS Dynamics

    A. W. Peet and J. Polchinski, “UV / IR relations in AdS dynamics,”Phys. Rev. D59(1999) 065011, hep-th/9809022

    work page internal anchor Pith review Pith/arXiv arXiv 1999

  26. [26]

    On the Holographic Renormalization Group

    J. de Boer, E. P. Verlinde, and H. L. Verlinde, “On the holographic renormalization group,”JHEP08(2000) 003,hep-th/9912012

    work page internal anchor Pith review Pith/arXiv arXiv 2000

  27. [27]

    Quantum effective action from the AdS/CFT correspondence

    K. Skenderis and S. N. Solodukhin, “Quantum effective action from the AdS / CFT correspondence,”Phys. Lett.B472(2000) 316–322,hep-th/9910023

    work page internal anchor Pith review Pith/arXiv arXiv 2000

  28. [28]

    The Holographic Renormalization Group

    J. de Boer, “The holographic renormalization group,”Fortsch. Phys.49(2001) 339–358,hep-th/0101026

    work page internal anchor Pith review Pith/arXiv arXiv 2001

  29. [29]

    Lecture Notes on Holographic Renormalization

    K. Skenderis, “Lecture notes on holographic renormalization,”Class. Quant. Grav.19(2002) 5849–5876, hep-th/0209067

    work page internal anchor Pith review Pith/arXiv arXiv 2002

  30. [30]

    Holographic and Wilsonian Renormalization Groups

    I. Heemskerk and J. Polchinski, “Holographic and Wilsonian Renormalization Groups,”JHEP06(2011) 031,1010.1264

    work page internal anchor Pith review Pith/arXiv arXiv 2011

  31. [31]

    Integrating out geometry: Holographic Wilsonian RG and the membrane paradigm

    T. Faulkner, H. Liu, and M. Rangamani, “Integrating out geometry: Holographic Wilsonian RG and the membrane paradigm,”JHEP08(2011) 051,1010.4036

    work page internal anchor Pith review Pith/arXiv arXiv 2011

  32. [32]

    Conformal invariants,

    C. Fefferman and C. R. Graham, “Conformal invariants,”Elie Cartan et les mathématiques d’aujourd’hui 1985(1985) 95–116. Astérisque, Hors Série

    1985

  33. [33]

    Fefferman and C

    C. Fefferman and C. R. Graham,The ambient metric (AM-178). Princeton University Press, 2012

    2012

  34. [34]

    Holography for stress-energy tensor flows,

    X.-Y. Ran, F. Hao, and H. Ouyang, “Holography for stress-energy tensor flows,”Phys. Rev. D112(2025), no. 8, L081905,2508.12275

    work page arXiv 2025

  35. [35]

    Geometric realization of stress-tensor deformed field theory

    Y.-Z. Li, Y. Xie, and S. He, “Geometric realization of stress-tensor deformed field theory,”Phys. Rev. D113 (2026), no. 8, L081901,2508.15461. – 26 –

    work page internal anchor Pith review Pith/arXiv arXiv 2026

  36. [36]

    Gravitational formulation of stress-tensor deformed field theories,

    Y. Xie, Y.-Z. Li, L. Xu, and S. He, “Gravitational formulation of stress-tensor deformed field theories,” 2603.08481

    work page arXiv

  37. [37]

    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) 595–622, hep-th/0002230

    work page internal anchor Pith review Pith/arXiv arXiv 2001

  38. [38]

    The Dynamics of General Relativity

    R. L. Arnowitt, S. Deser, and C. W. Misner, “The Dynamics of general relativity,”Gen. Rel. Grav.40 (2008) 1997–2027,gr-qc/0405109

    work page internal anchor Pith review Pith/arXiv arXiv 2008

  39. [39]

    R. M. Wald,General Relativity. Chicago Univ. Pr., Chicago, USA, 1984

    1984

  40. [40]

    C. W. Misner, K. S. Thorne, and J. A. Wheeler,Gravitation. W. H. Freeman, San Francisco, 1973

    1973

  41. [41]

    Action integrals and partition functions in quantum gravity,

    G. W. Gibbons and S. W. Hawking, “Action integrals and partition functions in quantum gravity,”Phys. Rev. D15(May, 1977) 2752–2756

    1977

  42. [42]

    Role of conformal three-geometry in the dynamics of gravitation,

    J. W. York, “Role of conformal three-geometry in the dynamics of gravitation,”Phys. Rev. Lett.28(Apr,

  43. [43]

    Local symmetries and constraints,

    J. Lee and R. M. Wald, “Local symmetries and constraints,”J. Math. Phys.31(1990) 725–743

    1990

  44. [44]

    Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy

    V. Iyer and R. M. Wald, “Some properties of Nöther charge and a proposal for dynamical black hole entropy,”Phys. Rev.D50(1994) 846–864,gr-qc/9403028

    work page internal anchor Pith review Pith/arXiv arXiv 1994

  45. [45]

    AdS3 freelance holography: a detailed analysis,

    M. M. Sheikh-Jabbari and V. Taghiloo, “AdS3 freelance holography: a detailed analysis,”JHEP02(2026) 095,2510.10692

    work page arXiv 2026

  46. [46]

    Freelance Fluid/Gravity Correspondence, 3d Analysis,

    M. M. Sheikh-Jabbari and V. Taghiloo, “Freelance Fluid/Gravity Correspondence, 3d Analysis,” 2601.04115

    work page arXiv

  47. [47]

    Quasilocal energy and conserved charges derived from the gravitational action,

    J. D. Brown and J. W. York, Jr., “Quasilocal energy and conserved charges derived from the gravitational action,”Phys. Rev.D47(1993) 1407–1419

    1993

  48. [48]

    3+1 Formalism and Bases of Numerical Relativity

    E. Gourgoulhon, “3+1 formalism and bases of numerical relativity,”gr-qc/0703035

    work page internal anchor Pith review Pith/arXiv arXiv

  49. [49]

    A Stress Tensor for Anti-de Sitter Gravity

    V. Balasubramanian and P. Kraus, “A stress tensor for anti-de Sitter gravity,”Commun. Math. Phys.208 (1999) 413–428,hep-th/9902121

    work page internal anchor Pith review Pith/arXiv arXiv 1999

  50. [50]

    The Holographic Weyl anomaly

    M. Henningson and K. Skenderis, “The holographic Weyl anomaly,”JHEP07(1998) 023,hep-th/9806087

    work page internal anchor Pith review Pith/arXiv arXiv 1998

  51. [51]

    Three-dimensional quantum geometry and black holes

    M. Banados, “Three-dimensional quantum geometry and black holes,”AIP Conf. Proc.484(1999), no. 1, 147–169,hep-th/9901148

    work page internal anchor Pith review Pith/arXiv arXiv 1999

  52. [52]

    Freelance holography, part I: Setting boundary conditions free in gauge/gravity correspondence,

    A. Parvizi, M. M. Sheikh-Jabbari, and V. Taghiloo, “Freelance holography, part I: Setting boundary conditions free in gauge/gravity correspondence,”SciPost Phys.19(2025), no. 2, 043,2503.09371

    work page arXiv 2025

  53. [53]

    Freelance holography, part II: Moving boundary in gauge/gravity correspondence,

    A. Parvizi, M. M. Sheikh-Jabbari, and V. Taghiloo, “Freelance holography, part II: Moving boundary in gauge/gravity correspondence,”SciPost Phys. Core8(2025) 075,2503.09372

    work page arXiv 2025

  54. [54]

    Freelance Holography,

    V. Taghiloo, “Freelance Holography,”JHAP5(2025), no. 4, 68–81,2509.20517

    work page arXiv 2025

  55. [55]

    AdS/CFT correspondence and Geometry

    I. Papadimitriou and K. Skenderis, “AdS / CFT correspondence and geometry,”IRMA Lect. Math. Theor. Phys.8(2005) 73–101,hep-th/0404176

    work page internal anchor Pith review Pith/arXiv arXiv 2005

  56. [56]

    The Cauchy Problem for the Einstein Equations

    H. Friedrich and A. D. Rendall, “The Cauchy problem for the Einstein equations,”Lect. Notes Phys.540 (2000) 127–224,gr-qc/0002074

    work page internal anchor Pith review Pith/arXiv arXiv 2000

  57. [57]

    Setting the boundary free in AdS/CFT

    G. Compere and D. Marolf, “Setting the boundary free in AdS/CFT,”Class. Quant. Grav.25(2008) 195014,0805.1902

    work page internal anchor Pith review Pith/arXiv arXiv 2008

  58. [58]

    T¯Tand the mirage of a bulk cutoff,

    M. Guica and R. Monten, “T¯Tand the mirage of a bulk cutoff,”SciPost Phys.10(2021), no. 2, 024, 1906.11251

    work page arXiv 2021

  59. [59]

    Lack of strong ellipticity in Euclidean quantum gravity

    I. G. Avramidi and G. Esposito, “Lack of strong ellipticity in Euclidean quantum gravity,”Class. Quant. Grav.15(1998) 1141–1152,hep-th/9708163. – 27 –

    work page internal anchor Pith review Pith/arXiv arXiv 1998

  60. [60]

    Gauge theories on manifolds with boundary

    I. G. Avramidi and G. Esposito, “Gauge theories on manifolds with boundary,”Commun. Math. Phys.200 (1999) 495–543,hep-th/9710048

    work page internal anchor Pith review Pith/arXiv arXiv 1999

  61. [61]

    On boundary value problems for einstein metrics,

    M. T. Anderson, “On boundary value problems for einstein metrics,”Geometry & Topology12(2008), no. 4, 2009–2045

    2008

  62. [62]

    Causality and the AdS Dirichlet problem

    D. Marolf and M. Rangamani, “Causality and the AdS Dirichlet problem,”JHEP04(2012) 035,1201.1233

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  63. [63]

    Ricci solitons, Ricci flow, and strongly coupled CFT in the Schwarzschild Unruh or Boulware vacua

    P. Figueras, J. Lucietti, and T. Wiseman, “Ricci solitons, Ricci flow, and strongly coupled CFT in the Schwarzschild Unruh or Boulware vacua,”Class. Quant. Grav.28(2011) 215018,1104.4489

    work page internal anchor Pith review Pith/arXiv arXiv 2011

  64. [64]

    Witten, A note on boundary conditions in Eu- clidean gravity, Rev

    E. Witten, “A note on boundary conditions in Euclidean gravity,”Rev. Math. Phys.33(2021), no. 10, 2140004,1805.11559

    work page arXiv 2021

  65. [65]

    New Well-Posed boundary conditions for semi-classical Euclidean gravity,

    X. Liu, J. E. Santos, and T. Wiseman, “New Well-Posed boundary conditions for semi-classical Euclidean gravity,”JHEP06(2024) 044,2402.04308

    work page arXiv 2024

  66. [66]

    Flat space gravity at finite cutoff,

    B. Banihashemi, E. Shaghoulian, and S. Shashi, “Flat space gravity at finite cutoff,”Class. Quant. Grav.42 (2025), no. 3, 035010,2409.07643

    work page arXiv 2025

  67. [67]

    Holographic renormalization as a canonical transformation

    I. Papadimitriou, “Holographic renormalization as a canonical transformation,”JHEP1011(2010) 014, 1007.4592

    work page internal anchor Pith review Pith/arXiv arXiv 2010

  68. [68]

    Lectures on Holographic Renormalization,

    I. Papadimitriou, “Lectures on Holographic Renormalization,”Springer Proc. Phys.176(2016) 131–181

    2016

  69. [69]

    A Neumann Boundary Term for Gravity

    C. Krishnan and A. Raju, “A Neumann Boundary Term for Gravity,”Mod. Phys. Lett. A32(2017), no. 14, 1750077,1605.01603

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  70. [70]

    Holographic Renormalization

    M. Bianchi, D. Z. Freedman, and K. Skenderis, “Holographic Renormalization,”Nucl. Phys.B631(2002) 159–194,hep-th/0112119

    work page internal anchor Pith review Pith/arXiv arXiv 2002

  71. [71]

    Surface Terms as Counterterms in the AdS/CFT Correspondence

    R. Emparan, C. V. Johnson, and R. C. Myers, “Surface terms as counterterms in the AdS/CFT correspondence,”Phys. Rev.D60(1999) 104001,hep-th/9903238

    work page internal anchor Pith review Pith/arXiv arXiv 1999

  72. [72]

    Cutoff AdS$_3$ versus the $T\bar{T}$ deformation

    P. Kraus, J. Liu, and D. Marolf, “Cutoff AdS3 versus theT Tdeformation,”JHEP07(2018) 027, 1801.02714

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  73. [73]

    Hydro & thermo dynamics at causal boundaries, examples in 3d gravity,

    H. Adami, A. Parvizi, M. M. Sheikh-Jabbari, V. Taghiloo, and H. Yavartanoo, “Hydro & thermo dynamics at causal boundaries, examples in 3d gravity,”JHEP07(2023) 038,2305.01009

    work page arXiv 2023

  74. [74]

    On boundary value problems for Einstein metrics

    M. T. Anderson, “On boundary value problems for Einstein metrics,”Geom. Topol.12(2008), no. 4, 2009–2045,math/0612647

    work page internal anchor Pith review Pith/arXiv arXiv 2008

  75. [75]

    Conformal boundary conditions from cutoff AdS3,

    E. Coleman and V. Shyam, “Conformal boundary conditions from cutoff AdS3,”JHEP09(2021) 079, 2010.08504

    work page arXiv 2021

  76. [76]

    The initial boundary value problem and quasi-local Hamiltonians in General Relativity,

    Z. An and M. T. Anderson, “The initial boundary value problem and quasi-local Hamiltonians in General Relativity,”2103.15673

    work page arXiv

  77. [77]

    Gravitational observatories,

    D. Anninos, D. A. Galante, and C. Maneerat, “Gravitational observatories,”JHEP12(2023) 024, 2310.08648

    work page arXiv 2023

  78. [78]

    Cosmological observatories,

    D. Anninos, D. A. Galante, and C. Maneerat, “Cosmological observatories,”Class. Quant. Grav.41(2024), no. 16, 165009,2402.04305

    work page arXiv 2024

  79. [79]

    Gravitational observatories in AdS4,

    D. Anninos, R. Arias, D. A. Galante, and C. Maneerat, “Gravitational observatories in AdS4,”JHEP07 (2025) 234,2412.16305

    work page arXiv 2025

  80. [80]

    An Investigation of AdS$_2$ Backreaction and Holography

    J. Engelsöy, T. G. Mertens, and H. Verlinde, “An investigation of AdS2 backreaction and holography,” JHEP07(2016) 139,1606.03438. – 28 –

    work page internal anchor Pith review Pith/arXiv arXiv 2016