Holography and Phenomenology

Lisa Randall; Massimo Porrati; Nima Arkani-Hamed

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Holography and Phenomenology

Nima Arkani-Hamed, Massimo Porrati, Lisa Randall

High Energy Physics - Theory · Submitted 18 Dec 2000 · 35 references

Pith's verdict: The paper that made the holographic reading of RS standard; the dictionary entries are backed by genuine two-sided checks, and the load-bearing assumption is stated openly rather than buried.

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CitationLisa Randall, Massimo Porrati, Nima Arkani-Hamed. "Holography and Phenomenology." arXiv:hep-th/0012148 (2000). https://pith.science/paper/SODRMALO

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This is the paper that fixed the holographic reading of the Randall-Sundrum models in everyone's heads, and it holds up better than most interpretation papers because the authors actually check their dictionary against quantities computed independently on both sides. The 1/r^3 correction to Newton's law comes out of 5D graviton exchange and separately out of the conformal-invariance-fixed correlator. The induced Planck mass is matched to the Henningson-Skenderis central charge. The gauge coupling running is derived from the 4D self-energy and independently from Pomarol's 5D propagator. That is the right kind of evidence for a conjectured duality, and it is not hand-waving dressed up as derivation. The Bessel-function propagator in Section 4.3 and the KK gauge boson coupling in Eq. (44) are real technical work, and the radion-as-Legendre-transform argument in Section 3.4 is the piece I would point a student to first. The explanation of why KK gauge bosons are produced by mixing with the ordinary gauge boson, like rho production by a photon, is the cleanest thing in the paper and it dissolves a puzzle that had been sitting in Pomarol's result. The black hole cross-section saturating at 1/TeV^2 is a nice, falsifiable-sounding consequence, and the argument for it is short and correct. Where it is soft: the opening of Section 2 assumes the correspondence extends to any 5D gravity theory on AdS5, including brane-cutoff geometries and the naked-singularity stand-in for the TeV brane. The authors say so plainly, and their checks are all in the cases where conformal invariance fixes the answer, so the extension is assumed rather than derived. That is a real limitation but an honestly flagged one, and it does not sink the paper. Two smaller things: the GUT threshold-correction claim in Section 4.1 is asserted and then used to dismiss Pomarol's unification without a calculation, and Eq. (14) presents order-one free-energy estimates with specific magnitudes. Both are minor relative to the central dictionary. The RS2 identification leans on unpublished work in ref. [6], but the paper's own checks stand on their own. Who should read it: anyone working on warped extra dimensions, strong dynamics at the TeV scale, or AdS/CFT with a cutoff. It deserves referees and it deserved the attention it got.

What would settle it A direct calculation showing that the boundary correlators of a brane-cutoff AdS$_5$ geometry do not match those of a cut-off conformal field theory coupled to four-dimensional gravity, for instance a mismatch in the coefficient of the $1/r^3$ correction to Newton's law or in the induced Planck mass relative to the central charge, would break the identification.

Referee report Significance If the dictionary holds, the paper unifies a large body of RS phenomenology under a single 4D description and turns several qualitative 5D statements into falsifiable ones. The strengths are real and should be named: the explicit Bessel-function computation of the gauge propagator in Section 4.3, with boundary conditions stated and the result cross-checked against Pomarol's 5D calculation; the parameter-free matching of the induced Planck mass to the Henningson-Skenderis central charge in Section 2.1; and concrete predictions such as roughly M5 L narrow KK gravitons, a black-hole cross-section ceiling of order TeV^-2, and threshold corrections to gauge unification. The paper is interpretive rather than a new derivation, but the two-sided checks are the right kind of evidence for an interpretive claim. Major objections (2) [Section 4.1] The abstract lists gauge coupling unification among the issues the holographic picture clarifies, but the conclusion of Section 4.1 that unification does not survive rests on the sentence 'there should be additional threshold corrections from the gravity picture, which are proportional to L/g5^2' with no accompanying calculation. Since the logarithmic running itself is computed exactly in Section 4.3, the threshold correction is precisely the place where the GUT conclusion could be made quantitative; as written, the dismissal of Pomarol's unification scenario is an estimate rather than a result. Either supply the one-loop matching calculation that produces the L/g5^2 correction, or soften the conclusion to an expectation and say so explicitly. [Section 2 opening and Section 3.4] The premise that any 5D gravity theory on AdS5 is dual to some strongly coupled 4D CFT is stated openly at the start of Section 2, and the paper offers three checks of it. All three, however, sit in regimes where conformal invariance fixes the correlator: the 1/r^3 force law from the conformal-invariance-fixed <TT> correlator, the induced Planck mass matched to the central charge, and the gauge running matched to Pomarol. The entries that are not so fixed, in particular the TeV brane as an IR deformation and especially the naked singularity of Section 3.4 standing in for the TeV brane, are assumed rather than checked. I am not asking for a derivation of the extension; I am asking for one explicit sentence distinguishing which dictionary entries are checked and which are assumed, so that a reader can see the boundary of the evidence. Minor objections (9) [Eq. (32)] The expression g^2 = g5^2/(L log mu L) has the wrong sign, since mu L < 1 and log mu L is negative; the integral in Eq. (31) gives L log(1/(mu L)), so the denominator should be L log(1/(mu L)). [Eqs. (10) and (11)] Both expressions drop the factor of 1/2 that follows from the z-integral and is correctly retained in Eq. (9); the coefficient should be (1/2) M5^3 L^3 (1/L^2 - mu^2) in Eq. (10) and the correspondingly halved term in Eq. (11). [Eq. (43)] The prefactor e_eff^2 q^2 appears to be dimensionally inconsistent with Eq. (39), where Pi has dimension -2, and with Eq. (42), which requires e^2 Pi to have dimension -2; the correct prefactor following from Eq. (39) is e_eff^2 q^{-2}. Please check and correct. [Section 4.4] The sentence 'the b.c. at z = 1/mu gave b = -Y0(qL)/J0(qL)' mislabels the boundary condition; the condition at z = 1/mu gives b = -Y0(q/mu)/J0(q/mu), as correctly stated in Section 4.3, while the condition at z = L gives the expression quoted. [Section 3.2, Eq. (14)] The free-energy comparison is an order-of-magnitude estimate, and the text should say so; in addition, the term 'deconfining phase transition' is used without definition for a non-supersymmetric broken CFT, and a brief statement of what is meant would help. [References] Reference [18] does not appear to be cited anywhere in the text, and reference [15] lists the authors as 'C. Vafa and P.H. Frampton' where the conventional order is Frampton and Vafa. [Section 2.1] Eq. (4) states M4^2 ~ M5^3 L while Eq. (9) states M4^2 = M5^3 L/2; the numerical factor should be stated once and used consistently. [Section 5, Eq. (46)] The coefficient 1/Lambda_IR^4 for the operator T_SM T_CFT should be justified as the leading allowed operator, or the text should note that a lower-dimension operator is forbidden by symmetry, so that the reader can see why this particular power is chosen. [Section 3.4] The Legendre-transform argument identifying the radion with the interpolating field for O_phi is standard and is reproduced in full; a citation to the standard AdS/CFT dictionary would let the derivation be shortened without loss. Human review This review was written by an AI. No human expert has reviewed this paper yet. A scientist listed on Pith can review it for a fee, and their review is published here whatever it concludes. Request a human review Become a reviewer How Pith checks papers → · Full audit of this paper → The paper The paper claims The paper argues that the Randall–Sundrum warped geometries are secretly ordinary four-dimensional physics: a strongly coupled conformal field theory, cut off in the ultraviolet by the Planck brane and broken in the infrared by the TeV bane The reading The authors take the AdS/CFT correspondence as a working dictionary and ask what the two Randall–Sundrum constructions look like when translated into four-dimensional language. Their answer: a warped fifth dimension ending on a Planck brane is a conformal field theory with a ultraviolet cutoff plus ordinary four-dimensional gravity, and adding a TeV brane corresponds to breaking that conformal symmetry in the infrared at the TeV scale. Bulk gauge fields translate into a broken conformal theory in which a subgroup of the global symmetry has been weakly gauged, so that Kaluza-Klein gauge bosons become spin-one bound states of the strong sector, produced by mixing with the elementary gauge boson rather than by direct coupling. The payoff is a set of phenomenological clarifications: black-hole cross sections stop growing once the horizon exceeds the TeV scale, the radion is the interpolating field for the operator that breaks conformality, Goldberger-Wise stabilization is dimensional transmutation, and early-universe cosmology above a TeV is ordinary radiation domination of a hot conformal theory rather than a stringy Hagedorn phase. If the dictionary is right, the warped models are not new theories of quantum gravity at the TeV scale at all: four-dimensional quantum gravity still only appears at the Planck scale, and the TeV-scale phenomena are the strong dynamics of a composite sector. What carries the argument The load-bearing device is the holographic dictionary itself, Eq. (1): for every conformal operator $O$ there is a bulk field $phi$ whose boundary value $phi_0$ acts as a source, and the generating functional of the boundary theory equals the exponential of the on-shell bulk action, $langle exp(-int d^4x, phi_0 O) rangle_{CFT} = exp(-Gamma[phi_0])$. Everything in the paper is an application of this identity to geometries that are only pieces of AdS$_5$. The position $z$ in the bulk is read as the renormalization scale, so moving the ultraviolet brane inward is integrating out high-energy degrees of freedom and moving the TeV brane is a deformation that breaks conformality in the infrared. The authors check the dictionary against quantities fixed by conformal invariance: the $langle T T rangle$ correlator, whose $p^4 log p^2$ form reproduces the $1/r^3$ correction to Newton's law, and the $langle j j rangle$ correlator of a conserved current, whose $p^2 log p^2$ form reproduces the logarithmic running of the four-dimensional gauge coupling despite strong coupling. Extended reading notes Core claim The paper's central claim is that the holographic dual of a warped AdS$_5$ geometry with boundary branes is a four-dimensional conformal field theory with a cutoff, coupled to dynamical gravity, and broken in the infrared when a TeV brane is present. From this single identification the authors read off a long list of consequences that are otherwise obscure in the five-dimensional description. The Planck mass induced by the bulk is matched to the central charge of the dual theory, $M_4^2 = M_5^3 L^3(1/L^2 - 1/z_{IR}^2)$, which is exactly the field-theory formula for the inverse Newton constant generated by a conformal theory cut off at $1/L$ and broken at $1/z_{IR}$. Bulk gauge fields are dual to a broken conformal theory with a weakly gauged global subgroup, and the Kaluza-Klein gauge bosons are its spin-one bound states, so that their production on the Planck brane proceeds through kinetic mixing with the ordinary gauge boson, exactly as a rho meson is produced by a photon. The authors use the same picture to argue that the strong-coupling worries about the continuum of Kaluza-Klein gravitons in the single-brane model are misplaced, that the Standard Model on the TeV brane must itself be a composite of the strong sector rather than a spectator to it, and that black-hole production in TeV-scale collisions saturates at a geometric cross section of order TeV$^{-2}$ instead of growing without bound. Load-bearing premise The paper assumes, without deriving it, that the AdS/CFT correspondence extends to any five-dimensional gravity theory on a piece of AdS$_5$ with branes cutting off the ends, so that a Planck brane, a TeV brane, or even a naked singularity all have a dual conformal field theory description. Editorial extensions If this is right Kaluza-Klein gravitons and gauge bosons in these models are not elementary particles but spin-two and spin-one bound states of a strongly coupled sector, so their widths and production rates are fixed by the strong dynamics rather than by a weakly coupled five-dimensional Feynman rules. Black-hole production in TeV-scale collisions has a ceiling: the cross section stops growing once the horizon would exceed the TeV$^{-1}$ size of the composite states, so the flat-space geometric formula applies only in a limited energy window. Early-universe cosmology above the TeV scale is ordinary radiation domination of a hot conformal theory, with no Hagedorn limiting temperature and no TeV brane present until the temperature falls; inflation with an inflaton coupled to the conformal sector through Planck-suppressed operators reheats the bulk and later the Standard Model. The radion is the Legendre transform of the source for the operator whose condensate breaks conformality, and Goldberger-Wise stabilization is the field-theoretic statement that a marginally relevant coupling grows until it triggers the breakdown of conformal invariance. In the grand-unified version with a bulk $SU(5)$, the logarithmic running and apparent unification survive, but the multiplicity of states is set by the large $N$ of the dual theory, so large threshold corrections are expected to spoil exact unification. Reading between the lines Editorial extensions of the paper, not claims the author makes directly. If the dictionary holds, the five-dimensional Planck scale $M_5$ and the curvature radius $L$ are not independent physical inputs but repackagings of the central charge and cutoff of a four-dimensional theory, which suggests that the parameter space of warped models should be quoted in field-theory variables to avoid double counting. The identification of Kaluza-Klein modes with narrow resonances whose width scales as $1/(M_5 L)$ gives a sharp experimental discriminant: a spin-two resonance that is broad rather than narrow would point to small $M_5 L$ and undercut the weakly coupled five-dimensional description used to make collider predictions. Because the black-hole cross-section ceiling follows from the finite size of the composite states, the same reasoning should apply to any process that requires long-range gravitational attraction between TeV-brane particles, which suggests looking for the turnover as a signature that distinguishes warped from large-extra-dimension scenarios. The claim that the Standard Model must be composite on the TeV brane is a strong constraint on model building; it would be worth asking whether any four-dimensional gauge theory with the right global symmetry breaking pattern and a large enough central charge can reproduce the observed fermion mass hierarchy without reintroducing flavor-changing problems. Original abstract We examine various aspects of the conjectured duality between warped AdS$_5$ geometries with boundary branes and strongly coupled (broken) conformal field theories coupled to dynamical gravity. We also examine compactifications with 5-d gauge fields, in which case the holographic dual is a broken CFT weakly coupled to dynamical gauge fields in addition to gravity. The holographic picture is used to clarify a number of important phenomenological issues in these and related models, including the questions of black hole production, radius stabilization, early universe cosmology, and gauge coupling unification. The compiled record The paper's own sentences, arranged, kept beside the review and separate from it. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model. Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,054 input tokens, $0.0001 reported. What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.07 · mentions code or data availability 0.01. The abstract, sentence by sentence arXiv listing abstract v1. Results and the main claim are underlined; show every role. We examine various aspects of the conjectured duality between warped AdS$_5$ geometries with boundary branes and strongly coupled (broken) conformal field theories coupled to dynamical gravity. We also examine compactifications with 5-d gauge fields, in which case the holographic dual is a broken CFT weakly coupled to dynamical gauge fields in addition to gravity. The holographic picture is used to clarify a number of important phenomenological issues in these and related models, including the questions of black hole production, radius stabilization, early universe cosmology, and gauge coupling unification. 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 examine various aspects of the conjectured duality between warped AdS$_5$ geometries with boundary branes and strongly coupled (broken) conformal field theories coupled to dynamical gravity. contribution 0.98 0.82 0.10 speculative 0.68 s1 We also examine compactifications with 5-d gauge fields, in which case the holographic dual is a broken CFT weakly coupled to dynamical gauge fields in addition to gravity. contribution 1.00 0.71 0.07 asserted 0.98 s2 The holographic picture is used to clarify a number of important phenomenological issues in these and related models, including the questions of black hole production, radius stabilization, early universe cosmology, and gauge coupling unification. contribution 0.89 0.72 0.26 asserted 0.99 What kind of paper the classifier reports this is: theoretical result 0.71 · evidence from argument 0.91. What was examined, and what was not sources readarXiv listing abstract v1 not examinedfull text figures and tables references and citing sentences relations to other papers levels runP abstract not runS sections T body sentences C citations R cross-paper relations Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON References Works cited (35) [6] J. Maldacena, unpublished; H. Verlinde, invited talk at ITP Santa Bar- bara conference, “New Dimensions in Field Theory and String The- ory,” http://www.itp.ucsb.edu/online/susy c99/verlinde; E. Witten, ibidem, http://www.itp.ucsb.edu/online/susy c99/discussion View on Pith [1] J.M. Maldacena, Adv. Theor. Math. Phys . 2, 231 (1998) View on Pith 1998 [2] S. Gubser, I. Klebanov and A. Polyakov, Phys. Lett. B428, 105 (1998) View on Pith 1998 [3] E. Witten, Adv. Theor. Math. 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Weiner, h ep-ph/9912453 View on Pith 1998 [33] N. Arkani-Hamed, S. Dimopoulos and G.Dvali, Phys. Rev. D59, 086004, (1999) View on Pith 1999 [34] L.J. Hall and D. Smith, Phys. Rev. D60, 085008, (1999) View on Pith 1999 [35] D.J.H. Chung, H. Davoudiasl, and L. Everett, hep-ph/00 10103. 28 View on Pith Forward citations Showing 60 of 67 Pith papers that cite this Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. See all 67 Pith citations Carving Out the Space of 4D CFTs hep-th 2011-09 accept novelty 8.0 of 10 A semidefinite-programming reformulation of the 4D conformal bootstrap yields substantially stronger bounds on operator dimensions, OPE coefficients, central charges and current normalizations, including a bound on di... 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A more attractive scheme for radion stabilization and supercooled phase transition hep-ph 2019-10 conditional novelty 6.0 of 10 A bulk SU(N_H) gauge field confining at the TeV scale stabilizes the Randall-Sundrum radion and lets the AdS-Schwarzschild to Randall-Sundrum phase transition complete for 5D Planck masses above the AdS curvature. Quantum Critical Higgs: From AdS$_5$ to Colliders hep-ph 2019-08 conditional novelty 6.0 of 10 In QCH models the large enhancement expected in gg to ZZ cancels once the correct i epsilon branch is used, while gg to HZ develops an order-of-magnitude excess at high invariant mass. Lepton Flavor and Non-Universality from Minimal Composite Higgs Setups hep-ph 2015-10 conditional novelty 6.0 of 10 A composite-Higgs model that unifies right-handed leptons in one SO(5) multiplet predicts R_K below 1, addressing the LHCb anomaly, and links neutrino masses to the top-partner mass scale. A naturally light dilaton hep-th 2013-06 conditional novelty 6.0 of 10 A light dilaton arises naturally, with mass suppressed by a small near-marginal symmetry-breaking parameter, when the underlying theory has a line of fixed points whose quartic coupling crosses zero. A Naturally Light Dilaton and a Small Cosmological Constant hep-th 2013-05 conditional novelty 6.0 of 10 A nearly marginal perturbation of a conformal theory generates a hierarchically light dilaton whose mass squared and vacuum energy are both suppressed by the small dimension deficit epsilon. Natural Cold Baryogenesis from Strongly Interacting Electroweak Symmetry Breaking hep-ph 2011-04 conditional novelty 6.0 of 10 Cold electroweak baryogenesis can plausibly arise from bubble collisions in a nearly conformal TeV-scale phase transition, removing the need for hybrid inflation, though the baryon yield is argued rather than computed. Scattering States in AdS/CFT hep-th 2011-04 conditional novelty 6.0 of 10 Regulated multi-trace primary states in a large-N CFT become in and out scattering states in the flat-space limit of AdS, and their overlap reproduces the bulk S-matrix. Emergent Gauge Fields in Holographic Superconductors hep-th 2010-05 conditional novelty 6.0 of 10 With a dynamical boundary gauge field, holographic superconductor vortex solutions give Hc1 < Hc2, so the models are Type II, but their vortex cores and penetration depths differ from Ginzburg-Landau. Composite Higgs-Mediated FCNC hep-ph 2009-06 accept novelty 6.0 of 10 Tree-level Higgs exchange generates ∆F=2 flavor-changing neutral currents in composite Higgs models that can bound the compositeness scale as strongly as heavy vector exchange, except when the Higgs is a pseudo-Goldst... Flavor Violation Tests of Warped/Composite SM in the Two-Site Approach hep-ph 2008-10 conditional novelty 6.0 of 10 In a two-site 4D truncation of the warped extra dimension, epsilon_K and BR(b to s gamma) depend oppositely on the composite Yukawa coupling, and with the composite QCD coupling near 3 the combined bound on the new-pa... Electroweak Breaking on a Soft Wall hep-ph 2008-06 conditional novelty 6.0 of 10 In soft-wall versions of 5D gauge-Higgs unification the electroweak S parameter is smaller than in the hard-wall Randall-Sundrum case, lowering the Kaluza-Klein mass bound from about 3 TeV to about 2 TeV for a linear ... Discovering the top partners at the LHC using same-sign dilepton final states hep-ph 2008-01 conditional novelty 6.0 of 10 Pair-produced top partners T5/3 and B decaying to Wt yield same-sign dilepton events at the LHC, and a leading-order simulation puts 5-sigma discovery at about 56 inverse picobarns for 500 GeV masses. Black Hole Bound on the Number of Species and Quantum Gravity at LHC hep-th 2007-10 conditional novelty 6.0 of 10 A large number of gravitationally coupled particle species lowers the quantum gravity scale to about M_Planck/sqrt(N), and micro black holes retain a fading memory of the species that made them, so LHC black holes dec... LHC Signals for Warped Electroweak Neutral Gauge Bosons hep-ph 2007-08 conditional novelty 6.0 of 10 In the warped-extra-dimension framework with bulk gauge fields, the three neutral electroweak Kaluza-Klein states decay sizably to longitudinal W, Z and Higgs, so the LHC can reach 2 TeV with 100 inverse femtobarns an... Black Holes and Quantum Gravity at the LHC hep-ph 2007-08 conditional novelty 6.0 of 10 Thermal multiparticle black hole events at the LHC are unlikely once energy loss and low entropy are included; two-particle scattering at wide angles is the more promising probe of low-scale quantum gravity. A Confining Strong First-Order Electroweak Phase Transition hep-ph 2007-06 conditional novelty 6.0 of 10 A Goldberger-Wise-stabilized Randall-Sundrum radion produces a supercooled, strongly first-order electroweak phase transition whose parameter space can, in a narrow window, satisfy the out-of-equilibrium condition for... Radion Phenomenology in Realistic Warped Space Models hep-ph 2007-05 accept novelty 6.0 of 10 In warped models with bulk Standard Model fields, the radion's two-photon signal can exceed that of a same-mass Standard Model Higgs, but the size depends on free brane-localized kinetic terms for the photon and gluon. Warped/Composite Phenomenology Simplified hep-ph 2006-12 accept novelty 6.0 of 10 A two-sector effective field theory reproduces the collider phenomenology of warped/composite models using only the Standard Model and its first heavy excitations, with UV-finite Higgs fine-tuning and explicit precisi... LHC Signals from Warped Extra Dimensions hep-ph 2006-12 conditional novelty 6.0 of 10 For a warped extra dimension with bulk fermions, 100 inverse femtobarns at the LHC can reveal a Kaluza-Klein gluon up to roughly 4 TeV, using a left-right top polarization asymmetry and boosted top-jet tagging to sepa... Gravitational Waves from Warped Spacetime hep-ph 2006-07 conditional novelty 6.0 of 10 The AdS-Schwarzschild to RS1 phase transition at TeV temperatures can release enough latent heat to produce a stochastic gravitational wave background detectable at LISA, for a calculable slice of the radion potential... Axions In String Theory hep-th 2006-05 accept novelty 6.0 of 10 Across heterotic, M-theory, G2-holonomy, and D-brane compactifications, the axion decay constant is generically at or above the GUT scale, except in models where Standard Model gauge fields live on vanishing cycles. Holography for fermions hep-th 2004-06 accept novelty 6.0 of 10 The paper derives the exact boundary two-point function for a 5D AdS fermion and translates it, case by case in the bulk mass, into a 4D CFT coupled to external sources, checking each case against the independent Kalu... Holography and the Electroweak Phase Transition hep-th 2001-07 conditional novelty 6.0 of 10 Holography gives a Randall-Sundrum critical temperature well below the TeV scale, and the first-order transition into the Standard Model phase is too slow to complete, forcing a weak-scale inflationary epoch unless th... Open and Closed String Interpretation of SUSY CFT's on Branes with Boundaries hep-th 2001-05 accept novelty 6.0 of 10 Intersecting and ending brane configurations realize, in the probe limit, a holographic dual in which an AdS_{n+1} brane sits inside AdS_{n+2}, with the brane's curvature radius set by the number of lower-dimensional ... Ultralight Dilatonic Dark Matter hep-ph 2025-06 unverdicted novelty 5.0 of 10 Supersymmetry can stabilize an ultralight dilaton dark matter candidate, but gravity restricts its Standard Model couplings to undetectable levels, making consistent model building involved. The Intrinsic and Extrinsic Hierarchy Problems hep-ph 2025-06 unverdicted novelty 5.0 of 10 The Hierarchy Problem splits into Intrinsic (RG-induced cutoff sensitivity) and Extrinsic (UV augmentation making IR theory appear finetuned) versions, with the latter formalized as a paradox whose solutions are class... Gravity-Mediated Dark Matter at a low reheating temperature hep-ph 2024-12 conditional novelty 5.0 of 10 Low-temperature freeze-in lets gravity-mediated dark matter stay viable with heavy spin-two mediators and light dark matter, avoiding the tight constraints of the thermal relic picture. Supercool Composite Dark Matter Beyond 100 TeV hep-ph 2021-10 conditional novelty 5.0 of 10 Supercooled confinement in a nearly-conformal dark sector, with dilaton-mediated interactions, can yield the observed dark matter abundance for masses up to 10^6 TeV, a range testable entirely by future gravitational ... Gravitational Production of a Conformal Dark Sector hep-ph 2020-11 conditional novelty 5.0 of 10 Gravitational production of a conformal dark sector is fixed by its central charge and the reheating temperature, and the resulting suppression makes glueball and dilaton dark matter viable. Cosmological Phase Transition of Spontaneous Confinement hep-ph 2019-10 conditional novelty 5.0 of 10 A two-fixed-point renormalization-group flow can make a composite-Higgs confinement phase transition prompt rather than supercooled, and faster transitions predict weaker gravitational wave signals. Flavor Universal Resonances and Warped Gravity hep-ph 2016-08 conditional novelty 5.0 of 10 A two-intermediate-brane Randall-Sundrum model places TeV spin-0, spin-1 and spin-2 resonances within LHC reach while keeping them flavor-safe, and predicts order-one decay-rate deviations if Higgs compositeness sits ... Goldstones in Diphotons hep-ph 2015-12 conditional novelty 5.0 of 10 Of three Goldstone-type explanations for the 750 GeV diphoton excess, a CP-odd pseudo-Goldstone boson with a large electromagnetic anomaly and the sgoldstino survive Run-1 constraints, while the minimal dilaton does not. Gravity-mediated (or Composite) Dark Matter hep-ph 2013-06 conditional novelty 5.0 of 10 Dark matter confined to the infrared brane of a warped extra dimension can annihilate through Kaluza-Klein gravitons and radions to reproduce the observed relic density, with a claimed dual description in a near-confo... The 4D Composite Higgs hep-ph 2011-10 conditional novelty 5.0 of 10 A two-site 4D moose lagrangian with a single composite resonance multiplet yields a finite one-loop Higgs potential and reproduces the LHC-relevant phenomenology of 5D composite Higgs models. Cosmological Consequences of Nearly Conformal Dynamics at the TeV scale hep-ph 2011-04 conditional novelty 5.0 of 10 Strongly supercooled, bubble-collision reheating in nearly conformal TeV-scale theories can leave a reheat temperature below 100 GeV while still accommodating baryogenesis and dark matter, and predicts a millihertz gr... Gravitational Form Factors of Vector Mesons in an AdS/QCD Model hep-ph 2008-01 conditional novelty 5.0 of 10 In a hard-wall AdS/QCD model, the rho meson's gravitational radius is 0.21 fm², roughly 40% of its 0.53 fm² charge radius, so the energy density is more concentrated than the charge. Warped Gravitons at the LHC and Beyond hep-ph 2007-01 conditional novelty 5.0 of 10 Gluon fusion followed by decay to longitudinal Z bosons gives a four-lepton signature that could reveal a warped Kaluza-Klein graviton up to about 2 TeV at the LHC with 300 inverse femtobarns. Anomalies at the End of the Universe? hep-ph 2026-09 conditional novelty 4.0 of 10 Anomalies in holographic extra-dimensional theories must be flowed from the IR to the UV to ensure consistency across different geometric phases. See all 67 Pith citations How later papers used it 237 later papers cite it Evidence: substantial. 230 of the citing papers share no author with it, and 12 of those carry a confident label from Pith's citation classifier. Pith read 40 of the 335 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 2 later papers by other authors are listed below: 1 used its method or tool and 1 cited it as support. Uses its method or tool 1 of 6 papers with this label We rely now on the 4D holographic picture of WED [ref] by employing the relation (M_5/k)^3 ≡N^2/16 π^2 ≡1/g_χ^2, where $g_χ$ is a 4D coupling that for simplicity we identify with the one of Eq. ([ref]) and where we have made a choice for an order one ambiguity in the correspondence. Supercool Composite Dark Matter Beyond 100 TeV (2021) · From 5D to 4D · 0.80 Cites it as support 1 of 5 papers with this label Cited this paper as further indication that the UV brane in RS 2 provides a good UV regulator to the four dimensional CFT. Vector Bosons in the Randall-Sundrum 2 and Lykken-Randall models and unparticles (2009) · 0.96 · paraphrased: the licence does not allow quoting How the literature uses it 225 arXiv papers cite this in 320 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 · 190 sentences without a confident label Uses its method or tool 6 papers Since the underlying theory is inherently strongly-coupled we use the AdS/CFT correspondence [ref] to construct a calculable five-dimensional (5D) model using a warped fifth dimension [ref] . Emergent Electroweak Symmetry Breaking with Composite W, Z Bosons · Introduction · 0.99 The running of the 4D gauge coupling is given by [ref] RGbraneloc 1/g^2(Q) = 1/g_5^2 ∫_R^1/Q dz a(z) + 1/gUV^2 - bUV/8π^2 log(1/RQ) , where $g_5^2 = g_*^2 R$, $gUV$ is the UV brane coupling, and $bUV$ is the one-loop beta function including effects for the zero modes on the UV brane. Continuum Naturalness · Comments on Phenomenology · 0.80 We rely now on the 4D holographic picture of WED [ref] by employing the relation (M_5/k)^3 ≡N^2/16 π^2 ≡1/g_χ^2, where $g_χ$ is a 4D coupling that for simplicity we identify with the one of Eq. ([ref]) and where we have made a choice for an order one ambiguity in the correspondence. Supercool Composite Dark Matter Beyond 100 TeV · From 5D to 4D · 0.80 Compares with it 3 papers It differs from the usual Higgsless model [ref] in that the $W,Z$ bosons are identified as the lowest-lying KK states peaking towards the IR brane (as opposed to the flat zero modes) and therefore via the AdS/CFT dictionary [ref] are composite. Fermion Masses in Emergent Electroweak Symmetry Breaking · The 5D Emergent Model · 0.94 Contrast this with the calculation of [ref] , where Neumann boundary conditions are applied at the IR brane and no such pole appears. Holographic Mixing Quantified · Nambu-Goldstone modes of broken symmetry · 1.00 Censorship of the IR for timelike momenta was also qualitatively predicted in [ref] , though the mechanism by which their predicted behavior occurs is fundamentally different. Opacity from Loops in AdS · Conclusions · 0.96 Cites it as support 3 papers This feature is another indication that the UV brane in RS 2 provides a good UV regulator to the four dimensional CFT [ref] (i.e., it does not violate conformal invariance at large distances or violate perturbative unitarity). Vector Bosons in the Randall-Sundrum 2 and Lykken-Randall models and unparticles · Unitarity · 0.96 The fact that in our model the SM approximated global currents are gauged [ref] is also motivated by the correspondence and we find it therefore appealing that following the AdS/CFT prescription the model is become more consistent with the data. Natural Neutrino Masses and Mixings from Warped Geometry · Conclusion · 0.99 For example, Randall-Sundrum warped extra dimensional theories are dual in an important sense to walking technicolor theories [ref] , both of which were independently conceived to help solve the hierarchy problem. Polydoxon Transformations and Scientific Reward in Physics · The Polydoxon · 0.96 Cites it as background 106 papers Many important model building efforts have been carried out in the Randall-Sundrum scenario [ref] , which is a weakly coupled dual description of the strongly coupled near conformal dynamics which generates a composite scale around TeV [ref] . Randall-Sundrum and Strings · Introduction · 0.93 The Randall-Sundrum (RS) model of a warped extra dimension [ref] is understood as the 5D dual picture of a nearly-conformal strongly-coupled 4D field theory [ref] . High Quality Axion via a Doubly Composite Dynamics · Introduction · 0.90 In recent years, a different avenue of studying dynamical EWSB models has opened up via the realization that extra dimensional models [ref] may provide a weakly coupled dual description to technicolor type theories [ref] . The S-parameter in Holographic Technicolor Models · Introduction · 0.96 Discussion Disagree with the review, or know something it missed? Leave a comment, highlight any passage above to comment on it, or challenge this review formally.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We examine various aspects of the conjectured duality between warped AdS$_5$ geometries with boundary branes and strongly coupled (broken) conformal field theories coupled to dynamical gravity.	contribution 0.98	0.82	0.10	speculative 0.68
s1	We also examine compactifications with 5-d gauge fields, in which case the holographic dual is a broken CFT weakly coupled to dynamical gauge fields in addition to gravity.	contribution 1.00	0.71	0.07	asserted 0.98
s2	The holographic picture is used to clarify a number of important phenomenological issues in these and related models, including the questions of black hole production, radius stabilization, early universe cosmology, and gauge coupling unification.	contribution 0.89	0.72	0.26	asserted 0.99