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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

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.

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.

Confinement in Holographic Theories at Finite Theta

hep-th · 2026-03-25 · unverdicted · novelty 6.0

Holographic 5D model shows confinement critical temperature falls quadratically with vacuum angle, matches lattice QCD, and allows time-dependent theta to trigger supercooling and altered gravitational-wave spectra.

(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.

Confinement in a finite duality cascade

hep-th · 2026-04-20 · unverdicted · novelty 6.0

Holographic checks confirm area-law confinement, anomaly-matching domain walls via 2+1D TQFT, and unstable axionic strings implying no massless axions in this finite duality cascade model.

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.

The yes boundaries wavefunctions of the universe

hep-th · 2026-04-11 · unverdicted · novelty 6.0

Using two timelike boundaries and a nearly maximally entangled thermofield double state from dressed de Sitter Hamiltonian theories, the authors construct wavefunctions for extended cosmological spacetimes that include the future wedge and resolve entanglement entropy issues via 3D constrained path

Holographic pressure and volume for black holes

hep-th · 2026-02-04 · unverdicted · novelty 5.0

Introduces a holographic pressure and volume for static spherically symmetric black holes via quasi-local thermodynamics, showing large black holes become extensive in the large-system limit while small ones do not.

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