Gauge theory correlators in 3+1D N=4 SYM with large N are obtained from the supergravity action on the AdS boundary, with anomalous dimensions for massive string modes growing as 2(n g_YM sqrt(2N))^{1/2} at strong 't Hooft coupling.
super hub Canonical reference
The Large N Limit of Superconformal Field Theories and Supergravity
Canonical reference. 94% of citing Pith papers cite this work as background.
268
Pith papers citing it
Background
94% of classified citations
abstract
We show that the large $N$ limit of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravity on the product of Anti-deSitter spacetimes, spheres and other compact manifolds. This is shown by taking some branes in the full M/string theory and then taking a low energy limit where the field theory on the brane decouples from the bulk. We observe that, in this limit, we can still trust the near horizon geometry for large $N$. The enhanced supersymmetries of the near horizon geometry correspond to the extra supersymmetry generators present in the superconformal group (as opposed to just the super-Poincare group). The 't Hooft limit of 4-d ${\cal N} =4$ super-Yang-Mills at the conformal point is shown to contain strings: they are IIB strings. We conjecture that compactifications of M/string theory on various Anti-deSitter spacetimes are dual to various conformal field theories. This leads to a new proposal for a definition of M-theory which could be extended to include five non-compact dimensions.
hub tools
citation-role summary
background 82
method 3
extension 1
citation-polarity summary
claims ledger
- abstract We show that the large $N$ limit of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravity on the product of Anti-deSitter spacetimes, spheres and other compact manifolds. This is shown by taking some branes in the full M/string theory and then taking a low energy limit where the field theory on the brane decouples from the bulk. We observe that, in this limit, we can still trust the near horizon geometry for large $N$. The enhanced supersymmetries of the near horizon geometry correspond to the extra supersymmetry generators prese
- background P fandP f BI are quite sensitive to the UE and pileup activity in a jet (see e.g. [173]) making them difficult to use in experimental analyses. Since we will not come back to planar flow in our analytic calculations in the following chapters, let us mention that some fixed-order analytic results are available in the literature [174]. Q-jet volatility.The main idea behind Q-jet [175, 176] is to define jets as a set of multiple clustering trees (weighted by an appropriate metric) instead of a sing
authors
co-cited works
representative citing papers
The resolved elliptic genus refines the supersymmetry index for the D1-D5 CFT by summing only over symmetry sectors that mix under a deformed supercharge, yielding agreement with supergravity below the black-hole threshold where the modified elliptic genus is trivial.
A precise mapping from the world-sheet integral of the AdS Virasoro-Shapiro amplitude to the energy-energy correlator in strongly coupled N=4 SYM, with explicit flat-space and first curvature correction terms.
Hawking radiation entropy follows the Page curve when quantum extremal surfaces are identified with RT/HRT surfaces in a higher-dimensional holographic dual, making the black hole interior part of the radiation's entanglement wedge.
The authors derive new propagator identities that yield holographic representations for 5- and 6-point global scalar conformal blocks and obtain closed-form direct-channel decompositions of a class of higher-point AdS diagrams.
Proposes a duality between AdS3 gravity with dS2 branes and CFT2 with non-unitary boundary conditions to realize dS holography via complex saddles and state preparation in unitary AdS/CFT.
Bulk Q-cocycles determine renormalized and anomaly Q-cocycles on asymptotic boundaries of gauge PDEs, with the anomaly structure reproducing the holographic Weyl anomaly in AdS.
For 0 ≤ λ < 1 the bosonic tree-level S-matrix of λ-deformed AdS3 strings remains integrable via cancellation of non-elastic processes, but becomes ill-defined as λ → 1 even though the geometry matches the non-Abelian T-dual.
Defines tripartite complexity and complexity gap for three-subsystem states and reports that the gap has definite sign across holographic CV, Fisher-Rao, and Krylov measures, suggesting it as a building block for complexity inequalities.
Computes closed-form one-loop anomalous dimensions for all double-trace operators [φφ]_{n,ℓ} in Φ⁴ theory in AdS₃ for arbitrary n, ℓ and Δ_φ > 1.
Introduces FTH as an extension of TH/SymTFT to type-I and type-II fracton orders, demonstrating boundary switches and dualities for X-cube and Haah's code via stabilizer formalism.
A unitary defect CFT at the wedge corner supplies an auxiliary holographic entropy term that balances area variations and enables stable non-horizon islands in massless ghost-free wedge holography.
Superconducting wire arrays emulate d-dimensional curved spaces via graphs, enabling study of scalar fields and holographic duality on hyperbolic geometries with robustness to disorder.
Real-analytic perturbations of AdS4 black branes exhibit stretched-exponential decay exp(-c t^{5/6}) controlled by the large-k tail of the quasinormal mode spectrum.
A new covariant c-function is defined from extrinsic curvature of codimension-two bulk slices, unifying prior foliation-based definitions and exhibiting expected monotonic behavior in conformal, confining, and mixed-geometry string backgrounds.
Three-loop five-leg amplitude in planar N=4 sYM near mass shell is computed via 6D unitarity cuts and dimensional reduction, confirming IR exponentiation governed by octagon anomalous dimension with each of three kinematic structures having its own function of 't Hooft coupling.
In AdS the fully gravitational Hartle-Hawking wave function acquires a nontrivial one-loop phase while the partially frozen version stays real and positive; a partially frozen de Sitter sphere shows phase cancellation.
The free particle, harmonic oscillator, and inverted oscillator are unified as parabolic, elliptic, and hyperbolic realizations of the same conformal module, with explicit mappings between their states, coherent states, and scattering data via metaplectic rotations and Mellin transforms.
The all-loop bare perturbative part of the four-quark Bethe-Salpeter kernel is computed analytically in the large-Nf limit of massless QCD.
Transformers reconstruct the constituent RCFTs in tensor-product theories from low-energy spectra, reaching 98% accuracy on WZW models and generalizing to larger central charges with few out-of-domain examples.
Holographic spacetime emerges as the 1-Wasserstein space of quantum state distributions under optimal transport, matching AdS2 black hole geometry in the SYK model and identified with generalized Krylov complexity.
OPE-based recursive renormalization for mixed composite operators gives five-loop anomalous dimensions in phi^4 and two-loop in phi^3 models.
Pole-skipping data encodes enough information to reconstruct the full metric of 3D rotating black holes and the radial functions of 4D separable rotating black holes, with Einstein equations becoming algebraic constraints on that data.
In double-scaled SYK, state-adapted dressed chord operators change the emergent algebra from Type II1 to Type I∞ and restore purity of KM states, unlike generic operators.
citing papers explorer
-
Gauge Theory Correlators from Non-Critical String Theory
Gauge theory correlators in 3+1D N=4 SYM with large N are obtained from the supergravity action on the AdS boundary, with anomalous dimensions for massive string modes growing as 2(n g_YM sqrt(2N))^{1/2} at strong 't Hooft coupling.
-
The Resolved Elliptic Genus and the D1-D5 CFT
The resolved elliptic genus refines the supersymmetry index for the D1-D5 CFT by summing only over symmetry sectors that mix under a deformed supercharge, yielding agreement with supergravity below the black-hole threshold where the modified elliptic genus is trivial.
-
Energy-Energy Correlator from the AdS Virasoro-Shapiro Amplitude
A precise mapping from the world-sheet integral of the AdS Virasoro-Shapiro amplitude to the energy-energy correlator in strongly coupled N=4 SYM, with explicit flat-space and first curvature correction terms.
-
The Page curve of Hawking radiation from semiclassical geometry
Hawking radiation entropy follows the Page curve when quantum extremal surfaces are identified with RT/HRT surfaces in a higher-dimensional holographic dual, making the black hole interior part of the radiation's entanglement wedge.
-
Propagator identities, holographic conformal blocks, and higher-point AdS diagrams
The authors derive new propagator identities that yield holographic representations for 5- and 6-point global scalar conformal blocks and obtain closed-form direct-channel decompositions of a class of higher-point AdS diagrams.
-
Monitoring a de Sitter universe through an anti-de Sitter window
Proposes a duality between AdS3 gravity with dS2 branes and CFT2 with non-unitary boundary conditions to realize dS holography via complex saddles and state preparation in unitary AdS/CFT.
-
Asymptotic boundary structure of Lagrangian gauge theories
Bulk Q-cocycles determine renormalized and anomaly Q-cocycles on asymptotic boundaries of gauge PDEs, with the anomaly structure reproducing the holographic Weyl anomaly in AdS.
-
Tree-level S matrix for $\lambda$-deformed AdS3 strings
For 0 ≤ λ < 1 the bosonic tree-level S-matrix of λ-deformed AdS3 strings remains integrable via cancellation of non-elastic processes, but becomes ill-defined as λ → 1 even though the geometry matches the non-Abelian T-dual.
-
Complexity Inequalities for Quantum Subsystems
Defines tripartite complexity and complexity gap for three-subsystem states and reports that the gap has definite sign across holographic CV, Fisher-Rao, and Krylov measures, suggesting it as a building block for complexity inequalities.
-
Closing the loop on $\Phi^4$ in AdS$_3$
Computes closed-form one-loop anomalous dimensions for all double-trace operators [φφ]_{n,ℓ} in Φ⁴ theory in AdS₃ for arbitrary n, ℓ and Δ_φ > 1.
-
Fracton Topological Holography
Introduces FTH as an extension of TH/SymTFT to type-I and type-II fracton orders, demonstrating boundary switches and dualities for X-cube and Haah's code via stabilizer formalism.
-
Massless Islands in Wedge Holography
A unitary defect CFT at the wedge corner supplies an auxiliary holographic entropy term that balances area variations and enables stable non-horizon islands in massless ghost-free wedge holography.
-
Graph-based emulation of $d$-dimensional curved spaces with superconducting arrays
Superconducting wire arrays emulate d-dimensional curved spaces via graphs, enabling study of scalar fields and holographic duality on hyperbolic geometries with robustness to disorder.
-
After the Fluid: Subexponential Decay in AdS$_4$
Real-analytic perturbations of AdS4 black branes exhibit stretched-exponential decay exp(-c t^{5/6}) controlled by the large-k tail of the quasinormal mode spectrum.
-
Covariant unification of holographic c-functions
A new covariant c-function is defined from extrinsic curvature of codimension-two bulk slices, unifying prior foliation-based definitions and exhibiting expected monotonic behavior in conformal, confining, and mixed-geometry string backgrounds.
-
Five legs @ three loops: N=4 sYM amplitude near mass-shell
Three-loop five-leg amplitude in planar N=4 sYM near mass shell is computed via 6D unitarity cuts and dimensional reduction, confirming IR exponentiation governed by octagon anomalous dimension with each of three kinematic structures having its own function of 't Hooft coupling.
-
A Tale of Two Hartle-Hawking Wave Functions: Fully Gravitational vs Partially Frozen
In AdS the fully gravitational Hartle-Hawking wave function acquires a nontrivial one-loop phase while the partially frozen version stays real and positive; a partially frozen de Sitter sphere shows phase cancellation.
-
The Free Particle--Oscillator--Inverted Oscillator Triangle: Conformal Bridges, Metaplectic Rotations and $\mathfrak{osp}(1|2)$ Structure
The free particle, harmonic oscillator, and inverted oscillator are unified as parabolic, elliptic, and hyperbolic realizations of the same conformal module, with explicit mappings between their states, coherent states, and scattering data via metaplectic rotations and Mellin transforms.
-
All-loop four-quark Bethe-Salpeter kernel
The all-loop bare perturbative part of the four-quark Bethe-Salpeter kernel is computed analytically in the large-Nf limit of massless QCD.
-
Reconstructing conformal field theoretical compositions with Transformers
Transformers reconstruct the constituent RCFTs in tensor-product theories from low-energy spectra, reaching 98% accuracy on WZW models and generalizing to larger central charges with few out-of-domain examples.
-
Holography and Optimal Transport: Emergent Wasserstein Spacetime in Harmonic Oscillator, SYK and Krylov Complexity
Holographic spacetime emerges as the 1-Wasserstein space of quantum state distributions under optimal transport, matching AdS2 black hole geometry in the SYK model and identified with generalized Krylov complexity.
-
The OPE Approach to Renormalization: Operator Mixing
OPE-based recursive renormalization for mixed composite operators gives five-loop anomalous dimensions in phi^4 and two-loop in phi^3 models.
-
Probing bulk geometry via pole skipping: from static to rotating spacetimes
Pole-skipping data encodes enough information to reconstruct the full metric of 3D rotating black holes and the radial functions of 4D separable rotating black holes, with Einstein equations becoming algebraic constraints on that data.
-
Emergent States and Algebras from the Double-Scaling limit of Pure States in SYK
In double-scaled SYK, state-adapted dressed chord operators change the emergent algebra from Type II1 to Type I∞ and restore purity of KM states, unlike generic operators.
-
Hofstadter's Butterfly in AdS$_3$ Black Holes
A single-band lattice model on the BTZ cylinder produces a curvature-dependent Harper equation whose spectra show sharpened butterfly fragmentation at weak curvature and suppressed magnetic response near larger horizons.
-
Probing Neutrino Compositeness with Invisible and Displaced Signals
Neutrinos disintegrate into dark jets in a composite sterile sector, producing enhanced neutral-to-charged current ratios and displaced vertices that probe compositeness scales at facilities like DUNE and FCC-ee.
-
Quasinormal Modes of pp-Wave Spacetimes and Zero Temperature Dissipation
Scalar quasinormal modes on pp-wave spacetimes show zero-temperature dissipation for d >= 3 via an irregular singular point acting as absorber, with exact non-dissipative spectrum for d=2 and gapped modes proven by reduction to Bessel equation.
-
Nonequilibrium crossover in the supercritical region from quench dynamics
Quench dynamics in a holographic superfluid reveal a nonequilibrium crossover line in the supercritical region defined by a turning point in invasion velocity.
-
Decoding multiway gravitational junctions in AdS in terms of holographic quantum maps
Multiway AdS junctions dualize to factorized quantum maps on CFT interfaces, with scattering matrix fixed by junction tension and automorphisms from n-1 stringy modes, independent of background state.
-
Quantum Fluctuations and Newton-Cartan Geometry for Non-Relativistic de Sitter space
The one-loop partition function for non-relativistic de Sitter gravity yields a T² prefactor consistent with four symmetry generators, and the bulk admits a torsionless Newton-Cartan geometry satisfying the non-relativistic JT equations.
-
Planar AdS multi-NUT spacetimes and Kaluza-Klein multi-monopoles
Explicit planar AdS multi-NUT spacetimes are built via axionic scalars or quadratic gravity, plus planar Kaluza-Klein monopoles with varying magnetic charges.
-
Probing Proton Structure via Physics-Guided Neural Networks in Holographic QCD
A physics-guided neural network embedding AdS5 Dirac equation and holographic Pomeron fits SLAC proton F2 data with chi-squared per degree of freedom of 0.91 and identifies a kinematic crossover at x approximately 0.19 while recovering Pomeron intercept of 1.0786.
-
Holographic duality from a four-fermion interaction: emergent AdS$_3$/CFT$_2$, D-branes, and Einstein gravity
The bosonic AdS3/CFT2 duality emerges from the Gross-Neveu model via higher-spin composites and fluctuations in competing spin-0 and spin-1 condensates that define the radial bulk coordinate.
-
$S^3$ partition functions and Equivariant CY$_4 $/CY$_3$ correspondence from Quantum curves
Derives Airy representation for S^3 partition functions in M2-brane theories that exactly matches equivariant topological string predictions and proposes a new CY4 to C x CY3 correspondence via quantum curves.
-
Higher Connection in Open String Field Theory
A 2-form connection is defined in the space of open string field theory solutions, producing invariant higher holonomies and 3-form curvature potentially corresponding to the B-field.
-
Krylov Subspace Dynamics as Near-Horizon AdS$_2$ Holography
In the continuum limit the discrete Krylov chain becomes a Klein-Gordon field in AdS2, with Lanczos growth rate α identified as πT, recovering the maximal chaos bound and requiring the Breitenlohner-Freedman bound for consistency.
-
The 2-Dimensional Dual of $\phi^4$ in AdS$_3$
The one-loop diagram in conformally coupled φ⁴ theory in AdS₃ is expressed as an infinite sum of tree-level diagrams, summed via number-theoretic conjectures to give analytic anomalous dimensions for all dual double-trace operators, with new results in t- and u-channels.
-
String Theory from Maximal Supersymmetry
Supersymmetry, R-symmetry, and positivity constrain planar 4d EFTs to match the open string Veneziano amplitude at tree level.
-
The CFT Distance Conjecture and Tensionless String Limits in $\mathcal N=2$ Quiver Gauge Theories
In N=2 SU quiver theories the large-N Hagedorn temperature depends only on quiver length for linear cases and equals that of N=4 SYM for holographic quivers, with a universal lower bound of 1/sqrt(2) on the exponential rate alpha of higher-spin current conservation.
-
Strongly Coupled Sectors in Inflation: Gapped Theories of Unparticles
Compactified 5D unparticle theories generate gapped excitations whose exchange in inflationary correlators yields oscillations modulated by anomalous dimensions and possible interference patterns under brane-localized interactions.
-
Two roads to fortuity in ABJM theory
Enumerates 244 fortuitous operators in ABJM theory and identifies a truncation matching the BMN subsector of N=4 SYM to lift an infinite tower of representatives.
-
Generalised Entanglement Entropies from Unit-Invariant Singular Value Decomposition
Generalized entanglement entropies are constructed via left-, right-, and bi-invariant unit-invariant singular value decompositions to ensure scale invariance for non-Hermitian and rectangular operators in quantum mechanics, random matrices, and Chern-Simons theory.
-
Novel thermodynamic inequality for rotating AdS black holes
A new thermodynamic inequality 4πJ²/(3MV) < 1 is derived for rotating AdS black holes to prevent naked singularities and uphold cosmic censorship.
-
On the $AdS_3\times S^3\times S^3\times S^1$ dressing factors
Dressing factors are proposed for the S-matrix of massive worldsheet excitations in AdS3×S3×S3×S1 with mixed RR/NSNS flux that satisfy crossing, unitarity, and reproduce perturbative results for any radius ratio.
-
Probing Evaporating Black Holes with Modular Flow in SYK
Modular flow in SYK models coupled to a bath reveals singularities allowing reconstruction of bulk flow past the horizon in two-sided AdS2 black holes.
-
Homotopy transfer for massive Kaluza-Klein modes
An algorithm based on homotopy transfer in L∞ algebras produces gauge-invariant fields for massive Kaluza-Klein modes that remain covariant under unbroken zero-mode gauge transformations.
-
Consistent subsectors of maximal supergravity and wrapped M5-branes
New family of maximal 4D gauged supergravities with trombone gauging admits supersymmetric AdS vacua related to M5-branes and provides sufficient conditions for consistent subtruncations from groups not contained in the N=8 gauge group.
-
Symmetry-Resolved Entanglement Entropy from Heat Kernels
An improved heat kernel framework with phase-factor reconstruction computes symmetry-resolved entanglement entropy for charged systems and derives a cMERA flow equation that agrees with CFT and holographic calculations.
-
Localized five-dimensional rotating brane-world black hole Analytically Connected to an to an AdS$_5$ boundary
Analytic construction of a 5D rotating braneworld black hole using Janis-Newman algorithm in Hopf coordinates that induces Kerr on the brane and connects to AdS5 boundary through bulk anisotropic fluid.
-
Living on the edge: a non-perturbative resolution to the negativity of bulk entropies
Summing non-perturbative contributions in the gravitational path integral, extended via matrix integral saddles including one- and two-eigenvalue instantons, resolves negativity of bulk entropies in two-sided black holes.