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Large N Field Theories, String Theory and Gravity
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We review the holographic correspondence between field theories and string/M theory, focusing on the relation between compactifications of string/M theory on Anti-de Sitter spaces and conformal field theories. We review the background for this correspondence and discuss its motivations and the evidence for its correctness. We describe the main results that have been derived from the correspondence in the regime that the field theory is approximated by classical or semiclassical gravity. We focus on the case of the N=4 supersymmetric gauge theory in four dimensions, but we discuss also field theories in other dimensions, conformal and non-conformal, with or without supersymmetry, and in particular the relation to QCD. We also discuss some implications for black hole physics.
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Showing 60 of 107 Pith papers that cite this
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Love numbers of black p-branes: fine tuning, Love symmetries, and their geometrization
Scalar Love numbers of non-dilatonic black p-branes vanish for integer rescaled multipoles, extremal p-branes give exactly zero static Love numbers, and the hidden symmetries behind these vanishings become near-horizo...
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On the strong coupling limit of Yang-Mills matrix models
In mass-deformed Yang–Mills matrix models, strong-coupling commutativity sets in at or above the critical fermion count N_c = 2(D−2), with the supersymmetric models sitting at the critical boundary where huge-operator...
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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.
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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.
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Bound states and deconfinement from Romans supergravity with magnetic flux
Holographic duals from Romans supergravity with Abelian magnetic flux yield confining 4D theories with a flux-driven zero-temperature deconfinement transition and a spectrum dominated by two nearly degenerate light sc...
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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-t...
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Causality constraints and anisotropic states
In anisotropic relativistic fluids, branch-point dispersion relations force a continuum of complex-wavevector mode collisions, and causality bounds the convergence radius direction-by-direction in terms of transport c...
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2-loop free energy of M2 brane in AdS$_7 \times$ S$^4$ and surface defect anomaly in (2,0) theory
The 2-loop (1/N) correction to the M2-brane free energy in AdS7×S4 vanishes in dimensional and ζ-function regularizations, so the boundary defect anomaly is b = 12N − 9, supporting the U(N) (2,0) interpretation.
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Statistics of correlations in nonlinear recurrent neural networks
Derives exact correlation statistics for nonlinear RNNs in the large-N limit with Gaussian quenched disorder using path integrals, generalizing linear results and adding 1/N corrections.
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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.
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Covering space maps for $n$-point functions with three long twists
Explicit covering-space maps for three long twists plus any number of twist-2 operators are constructed, yielding closed-form four- and five-point bare twist correlators in the ΔN=1,2 cases.
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Scalar fields and 3D Flat Space Cosmologies
A direct bulk derivation of scalar quasi-normal modes in 3D flat space cosmologies is presented, using a hard-wall boundary condition and complex momenta, together with one-loop partition functions computed in simplif...
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Localization and wall-crossing of giant graviton expansions in AdS$_5$
The 1/2-BPS giant graviton expansions for U(N), SO(2k+1), Sp(k), and SO(2k) N=4 SYM are derived from supersymmetric localization of D3-branes in AdS5, with the analytic continuation explained as wall-crossing in a Lan...
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The mass of the gluino-glue bound state in large-$N$ $\mathcal{N}=1$ Supersymmetric Yang-Mills theory
A first-principles lattice calculation determines the mass of the gluino-glue bound state in N=1 supersymmetric Yang-Mills theory in the large-N limit.
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Charged Rotating Hairy Black Holes in AdS$_5 \times S^5$: Unveiling their Secrets
The BPS limit of the newly constructed hairy black holes has zero entropy and a diverging scalar field, so no regular supersymmetric hairy black holes exist in this sector.
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Bootstrapping the Chiral-Gravitational Anomaly
Causality and unitarity force J≥4 resonances to appear below Λcaus approximately sqrt(MP Fπ/κg) in any EFT with a U(1)-gravitational anomaly.
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Holographic entanglement entropy with conformal boundary conditions
In AdS3 with conformal boundary conditions, holographic entanglement entropy is still the minimal-surface area over 4G_N, and the dual Liouville plus T Tbar theory gives entropy governed by the effective central charge c_eff.
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Probe Dependence of the Imaginary Part of HTEE
In a strongly coupled anisotropic plasma, the imaginary part of holographic timelike entanglement entropy is orientation-dependent: 29π/48 a² for the surface probing the anisotropic direction, 11π/48 a² for the other.
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Signatures of Lorentz violation in bright ring for Sgr A* images by radiation ineffective accretion flows
For a rotating Lorentz-violating black hole, increasing the LV parameter shrinks and broadens Sgr A*'s image ring, and EHT data bound the parameter over a spin-dependent range.
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Holographic timelike complexity for de Sitter
Timelike subregion volume complexity in de Sitter grows exponentially early and diverges hyperfast at a maximal duration; near the SdS black hole horizon the divergence is replaced by slower, claimed-nonlinear growth.
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Page transition for the complexity of an evaporating black hole
The complexity of radiation from an evaporating black hole is argued to undergo a sharp Page-like transition, dominated after the Page time by the volume of an island in the entanglement wedge.
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The black hole S-matrix in gauge/gravity duality
A unitary black hole S-matrix is built in AdS/CFT via collapsing brane shells; the black hole decays by exponentially rare brane emission, and the emitted branes are argued to be the original constituents, resolving t...
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Analytic HTEE in Moving Plasmas and Its Transition
Analytic holographic timelike entanglement entropy for a boosted BTZ black hole, with a critical boost separating complex and real extremal-geodesic branches.
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Neumann scalars in AdS: partition functions and phases
Neumann scalars in AdS admit one-loop partition functions obtained by contour deformation from the Dirichlet result; the stricter unitarity bound then yields qualitatively different phase diagrams that are corroborate...
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Deformed BTZ Radiance and Single Trace $T\bar{T}$ Holography
Long-string emission from rotating λ-deformed BTZ black holes forces a unique origin B-field that matches the value needed for the string spectrum to agree with the Z_w sector of single-trace T T-bar deformed orbifold...
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Off-shell Hessian thermodynamic stability of higher-curvature black holes
An off-shell Hessian criterion H = S'_W(r_h) T'(r_h) governs thermodynamic stability of higher-curvature black holes, recovering the temperature-slope rule on physical branches and producing mean-field critical exponents.
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Emergent $\text{AdS}_{d+1}$ Geometry from Functional Renormalization Group via Bulk Metric Reconstruction
The paper claims an FRG derivation of emergent AdS geometry for the O(N) vector model, but the derivation's key step contradicts its own equations.
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Strong-coupling results in (non-)conformal $\mathcal{N}=2$ theories with fundamental flavors
Localization matrix models yield resummed strong-coupling expressions for observables in N=2 theories with antisymmetric and fundamental matter, using an effective 't Hooft coupling at large N.
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Wilson loop in AdS$_3 \times S^3 \times T^4$ from quantum M2 brane
The 1-loop M2-brane partition function for the Wilson loop in AdS3 x S3 x T4 equals kappa over sqrt(2 pi) with no higher-genus string corrections.
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Continuous symmetries and charge measurement of boundary operators in holography
Continuous symmetry operators in holography are U-shaped hanging brane bound states (D5-KK in Type IIB, M5-KK in M-theory) whose worldvolume couplings reproduce the Gauss-law symmetry operators and measure charges of ...
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Strong coupling structure of $\mathcal{N}=4$ SYM observables with matrix Bessel kernel
The strong-coupling transseries for matrix Bessel determinant observables is generated from its perturbative part by shifting a→a−Δ and replacing moments I_n, with all Stokes constants fixed by two recurrences.
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Light dilaton from top-down holographic confinement with magnetic fluxes
In a two-flux family of top-down holographic confining theories, the lightest scalar is an approximate dilaton with mass about one tenth of the lightest spin-2 confinement scale, over a wide, untuned region of paramet...
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Holographic Equidistribution
Equidistribution of Hecke operators in large N CFT limits reduces the partition function to light-state Poincaré series with an immediate interpretation as sums over handlebody geometries.
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GR from RG: Gravity Is Induced From Renormalization Group Flow In The Infrared
Holographic RG flow induces gravity by evolving boundary conditions from rigid Dirichlet to mixed Dirichlet-Neumann, generating an Einstein-Hilbert term and evading the Weinberg-Witten theorem.
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A Reverse Black Hole Information Problem
Exact CFT states for colliding particles that form evaporating AdS black holes are constructed, and several coarse-graining maps are shown to convert the exact pure state into mixed semiclassical Hawking radiation wit...
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Correspondence between quasinormal modes and grey-body factors of Schwarzschild--Tangherlini black holes
Quasinormal modes correspond well to grey-body factors for vector and tensor perturbations of Schwarzschild-Tangherlini black holes in all dimensions, but fail for scalar l=2 modes in D≥7 because of multiple potential...
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Soft Algebras in AdS$_4$ from Light Ray Operators in CFT$_3$
A conformal map identifies the flat-space soft gluon S-algebra with light-ray operators built from CFT3 currents and their descendants in AdS4.
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Non-supersymmetric strings on AdS$_3$: a world-sheet perspective
On AdS3×S3×S3×S1, a Wilson-line deformation of the Spin(16)×Spin(16)⋊Z2 heterotic string produces a level-matched tachyon, so the classical moduli space contains unstable regions.
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Loop Corrected Supercharges from Holomorphic Anomalies
The complete one-loop supercharge for 4d Lagrangian SUSY gauge theories is derived in the holomorphic twist, packaged for N=4 SYM as a compact superfield formula.
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Geometry Induced Chiral Transport and Entanglement in $AdS_2$ Background
Curvature in AdS2 generates effective fields causing asymmetric chiral fermion propagation confined in Lieb-Robinson cones, with entanglement entropy growing then saturating and peaking in dipole collisions.
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Entanglement inequalities, black holes and the architecture of typical states
Typical states in large-N holographic CFTs exhibit UV and IR length scales set by energy and charges, producing factorization that isolates black holes via a corona of saturated entanglement wedges and extends ETH to ...
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Toward Krylov-based holography in double-scaled SYK
Establishes a threefold duality linking Krylov complexity growth rate to wormhole velocity and proper momentum in DSSYK holography, with higher moments capturing replica wormholes and Krylov entropy equaling parent-ge...
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Holographic Aspects of Dynamical Mean-Field Theory
DMFT on a Bethe lattice is rewritten as a holographic RG whose fixed point is the DMFT self-consistent solution, and boundary correlation exponents Δ_G, Δ_D track the Mott transition at finite branching number.
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New phases in QCD at finite temperature and chemical potential
In the Veneziano large-N_c limit, QCD at finite baryon chemical potential has two partially deconfined phases (PD-1, PD-2) and two confined phases (CC-1, CC-2), separated by a Gross-Witten-Wadia transition that can be...
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Privacy-Preserving Driver Drowsiness Detection with Spatial Self-Attention and Federated Learning
Entanglement harvesting from a mass-superposed BTZ black hole is enhanced by interference, while mutual information shows a distance-dependent crossover relative to a single spacetime.
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Instability of Black Holes in AdS$_3 \times S^3$
Near-extremal AdS3 x S3 black holes are thermodynamically and dynamically unstable, decaying to a central black hole plus chiral primaries or new macroscopic giant strings.
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Photon rings in a holographic toy model
In warped AdS3 black holes, the eikonal quasinormal-mode spectrum is governed exactly by the photon ring's orbital frequency and Lyapunov exponent, with different boundary conditions picking out the outer or inner ring.
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An apologia for islands
Entanglement islands and Page curves can arise in massless gravity without an external bath, and compactly supported gauge-invariant operators exist in islands around generic symmetry-breaking black hole backgrounds.
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Backtracking AdS flux vacua
Flux backtracking produces candidate brane-probe singularities for AdS flux vacua, including a new strongly coupled massive IIA singularity conjectured to be the brane picture of DGKT.
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Asymptotic gauge symmetry and UV extension of the nonperturbative coupling in holographic QCD
A holographic effective strong coupling with momentum-dependent confinement strength and ultraviolet boundary conditions reproduces alpha_s data at all scales and gives alpha_s(MZ) = 0.1161 +/- 0.0017.
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The Mechanism behind the Information Encoding for Islands
Island information is encoded in the bath because island operators are gravitationally dressed to the bath via the massive-graviton Stückelberg field, realized as Wilson lines in the Karch-Randall braneworld.
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Holographic Correlators of Boundary/Crosscap CFTs in Two Dimensions
Explicit bulk derivations yield two- and three-point stress tensor correlators in AdS3/BCFT2 and scalar and stress tensor correlators for XCFT2 on RP2, with tension independence and finite-cutoff deformations.
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Engineering of Anyons on M5-Probes via Flux Quantization
Flux quantization of the M5-brane tensor field in twisted Cohomotopy yields Pontrjagin homology observables that reproduce abelian Chern-Simons theory and braid actions on defect anyons.
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Revisiting color superconductors in bottom-up holography
A holographic model with a Wess-Zumino scalar-4-form coupling produces a color superconducting phase at finite density, with large color-group Higgsing.
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Generalized Clausius inequalities and entanglement production in holographic two-dimensional CFTs
In holographic 2D CFTs, the quantum null energy condition bounds entropy production in quenches between thermal states with momentum, giving generalized Clausius inequalities and exact entanglement growth laws.
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Instability in ${\cal N}=4$ supersymmetric Yang-Mills theory at finite density
At equal R-charge chemical potentials, the holographic AdS5-Reissner-Nordström black brane has a negative R-charge diffusion coefficient below a critical μ/T, making the low-temperature phase unstable.
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Topologically charged BPS microstates in AdS$_3$/CFT$_2$
Modified helicity-trace indices for charged sectors of AdS3/CFT2 produce the Cardy/Bekenstein-Hawking entropy, reproducing Larsen-Martinec in the T^4 case and resolving the earlier HS2 mismatch in half-integer winding...
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Holographic correlation functions from wedge
Correlation functions of heavy operators can be computed from the on-shell action of a wedge excised from AdS3, verified in Poincaré, global, and BTZ backgrounds.
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Super-$\mathrm{Lie}_\infty$ T-Duality and M-Theory
The M-algebra is shown to be the brane-charge completion of the fully T-doubled super-spacetime, with the Poincaré super 2-form of T-duality lifted to a Poincaré super 3-form.
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Two types of quantum chaos: testing the limits of the Bohigas-Giannoni-Schmit conjecture
A Metropolis-modified k-local SYK Hamiltonian keeps its chaotic early-time dynamics but changes its level statistics away from random-matrix universality at finite N.
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