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The Large N Limit of Superconformal Field Theories and Supergravity

Canonical reference. 94% of citing Pith papers cite this work as background.

210 Pith papers citing it
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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.

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  • 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

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representative citing papers

Gauge Theory Correlators from Non-Critical String Theory

hep-th · 1998-02-16 · unverdicted · novelty 9.0

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

hep-th · 2026-03-18 · unverdicted · novelty 8.0

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

hep-th · 2026-01-08 · unverdicted · novelty 8.0

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

hep-th · 2019-08-29 · accept · novelty 8.0

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.

After the Fluid: Subexponential Decay in AdS$_4$

hep-th · 2026-05-18 · unverdicted · novelty 7.0

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

hep-th · 2026-05-18 · unverdicted · novelty 7.0

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

hep-th · 2026-05-16 · unverdicted · novelty 7.0

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.

Fortuity and Complexity in a Simple Quark Model

hep-th · 2026-05-15 · conditional · novelty 7.0

In a toy qubit model of quarks, BRST cohomology designates baryons as fortuitous and mesons as monotone, with the former displaying super-exponential complexity and the latter power-law complexity in the Veneziano limit.

All-loop four-quark Bethe-Salpeter kernel

hep-ph · 2026-05-06 · unverdicted · novelty 7.0

The all-loop bare perturbative part of the four-quark Bethe-Salpeter kernel is computed analytically in the large-Nf limit of massless QCD.

Hofstadter's Butterfly in AdS$_3$ Black Holes

hep-th · 2026-04-15 · unverdicted · novelty 7.0

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.

Quasinormal Modes of pp-Wave Spacetimes and Zero Temperature Dissipation

gr-qc · 2026-04-15 · unverdicted · novelty 7.0

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.

citing papers explorer

Showing 50 of 210 citing papers.

  • Gauge Theory Correlators from Non-Critical String Theory hep-th · 1998-02-16 · unverdicted · none · ref 14 · internal anchor

    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 hep-th · 2026-03-18 · unverdicted · none · ref 2 · internal anchor

    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 hep-th · 2026-01-08 · unverdicted · none · ref 19 · internal anchor

    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 hep-th · 2019-08-29 · accept · none · ref 18 · internal anchor

    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 hep-th · 2019-06-20 · unverdicted · none · ref 1 · internal anchor

    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.

  • After the Fluid: Subexponential Decay in AdS$_4$ hep-th · 2026-05-18 · unverdicted · none · ref 1 · internal anchor

    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 hep-th · 2026-05-18 · unverdicted · none · ref 35 · internal anchor

    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 hep-th · 2026-05-16 · unverdicted · none · ref 9 · internal anchor

    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.

  • Fortuity and Complexity in a Simple Quark Model hep-th · 2026-05-15 · conditional · none · ref 69 · internal anchor

    In a toy qubit model of quarks, BRST cohomology designates baryons as fortuitous and mesons as monotone, with the former displaying super-exponential complexity and the latter power-law complexity in the Veneziano limit.

  • A Tale of Two Hartle-Hawking Wave Functions: Fully Gravitational vs Partially Frozen hep-th · 2026-05-13 · unverdicted · none · ref 4 · internal anchor

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    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.

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    The all-loop bare perturbative part of the four-quark Bethe-Salpeter kernel is computed analytically in the large-Nf limit of massless QCD.

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    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.

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