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Anti-de Sitter Space, Thermal Phase Transition, And Confinement In Gauge Theories

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abstract

The correspondence between supergravity (and string theory) on $AdS$ space and boundary conformal field theory relates the thermodynamics of ${\cal N}=4$ super Yang-Mills theory in four dimensions to the thermodynamics of Schwarzschild black holes in Anti-de Sitter space. In this description, quantum phenomena such as the spontaneous breaking of the center of the gauge group, magnetic confinement, and the mass gap are coded in classical geometry. The correspondence makes it manifest that the entropy of a very large $AdS$ Schwarzschild black hole must scale ``holographically'' with the volume of its horizon. By similar methods, one can also make a speculative proposal for the description of large $N$ gauge theories in four dimensions without supersymmetry.

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representative citing papers

Holographic Tests of the $\mu$ Ensemble

hep-th · 2026-07-07 · conditional · novelty 7.0

Fixed-μ ensemble computations in 11d supergravity reproduce ABJM partition functions (squashed S³, SCI, TTI) as Airy functions via a Laplace transform whose measure is fixed by bulk zero-mode counting.

Strongly Coupled Sectors in Inflation: Gapped Theories of Unparticles

hep-th · 2025-12-29 · unverdicted · novelty 7.0

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.

The analytic bootstrap at finite temperature

hep-th · 2025-06-06 · conditional · novelty 7.0

Thermal two-point functions of scalar CFT operators at zero spatial separation are reconstructed from their discontinuities via Hurwitz zeta kernels, with OPE coefficients as the only dynamical input.

Strongly Coupled Sectors in Inflation: Gapless Theories and Unparticles

hep-th · 2025-03-22 · unverdicted · novelty 7.0

Computes inflationary bispectra and trispectra from tree-level unparticle exchanges using Mellin-Barnes methods and symmetry-based differential equations, revealing that full shapes are needed to distinguish unparticles from light particles.

The Holographic QCD Axion in Five Dimensions

hep-ph · 2026-04-02 · unverdicted · novelty 7.0

A 5D holographic QCD axion model identifies bulk modes for the axion and eta prime, traces the quality problem to insufficient compositeness, and finds the physical axion mostly in the bulk gauge field when quality is high.

The yes boundaries wavefunctions of the universe

hep-th · 2026-04-11 · conditional · novelty 6.5

A constrained product of two dressed one-sided dS quantum systems yields a holographic dual whose top-band TFD and lower tall states capture the future wedge and overlapping causal wedges.

Quantum State of a Gravitating Region

hep-th · 2026-05-27 · unverdicted · novelty 6.0

Proposal that compact d-manifolds with elliptic data prepare boundary quantum states |J>, with Rényi entropies from path integrals agreeing with minimal-surface formulas after analytic continuation.

Pseudorandom Dynamics in the SYK Model and Cryptographic Censorship in JT Gravity

hep-th · 2026-05-24 · unverdicted · novelty 6.0

SYK disorder is shown to be an approximate unitary k-design for poly(N) k; under the planted-SYK hardness conjecture this yields gravitationally pseudorandom unitaries, implying cryptographic censorship in JT gravity with the regularized maximal geodesic length as distinguisher.

(Iso)spin from Isospin in Top-Down Holography

hep-th · 2025-12-01 · unverdicted · novelty 6.0 · 2 refs

In top-down holographic models, monopole-induced diagonal symmetry causes dilaton fluctuations to mix SU(2) gauge and SO(3) isometry angular momenta, reproducing the Jackiw-Rebbi-Hasenfratz-'t Hooft spin-from-isospin mechanism.

Loops Outside a Black Hole

hep-th · 2025-09-03 · conditional · novelty 6.0

Conjecture reducing bulk loop discontinuity integrals in black hole Schwinger-Keldysh geometry to exterior real-time finite-temperature loop integrals, checked at one to three loops for low-point functions.

Holographic Stirling engines and the route to Carnot efficiency

hep-th · 2026-04-17 · unverdicted · novelty 6.0

Stirling efficiency reaches Carnot when fixed-volume heat capacity is volume-independent, true for classical gases but not quantum or CFTs; holographic CFTs approach Carnot at large potentials with faster convergence under regeneration.

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