The DSSYK model emerges as the dynamics on the quantum homogeneous space of the von Neumann algebraic quantum group SU_q(1,1) ⋊ Z2.
hub Canonical reference
Anti-de Sitter Space, Thermal Phase Transition, And Confinement In Gauge Theories
Canonical reference. 100% of citing Pith papers cite this work as background.
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.
hub tools
citation-role summary
citation-polarity summary
roles
background 22polarities
background 22representative citing papers
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.
A continuous one-parameter family of holographic geometries interpolates between confining and deconfined phases, with string tension and chiral condensate vanishing smoothly at the black hole endpoint.
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.
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.
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.
Explicit planar AdS multi-NUT spacetimes are built via axionic scalars or quadratic gravity, plus planar Kaluza-Klein monopoles with varying magnetic charges.
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.
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.
Finite Carrollian black-hole thermodynamics arises as a double-scaled low-temperature large-N ensemble in AdS/CFT, with the boundary Brown-York stress tensor reproducing the contracted bulk Hamiltonian and first law.
In SO(d)- and O(d)-invariant sectors of the U(N) d-matrix harmonic oscillator, microcanonical heat capacity is negative at low energy and turns positive at kcrit ~ N^2/4, producing a caloric fold analogous to AdS 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.
The |G|-fold degeneracy of supersymmetric AdS5 black hole index saddles is fixed by the flux-quantized BF coupling of the bulk one-form symmetry and persists unmodified in the decompactified black-brane limit.
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.
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.
Proposes a refinement of the Swampland Cobordism Conjecture for duality groups, arguing that diverging commutator widths necessitate infinitely many duality defects to realize monodromies in 9d supergravity bordisms.
Numerical simulations show dynamical black hole formation in non-Markovian open JT gravity, corresponding to irreversible thermalization on the boundary.
Instanton condensation in the matrix model for the BPS index reveals a new instability and dominant phase for small black holes, connected to partial deconfinement.
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.
Constructs holographic supergravity solutions for supersymmetric RG flows from 4D SCFTs to confining 3D SQFTs, with universal factorization of observables.
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.
The paper shows that Euclidean axion wormholes remain regular and stable in AdS3 for any mouth radius to AdS radius ratio and across topologies, with computable actions that can be included in the 3D gravitational path integral.
Morse-Bott inequalities yield homology bounds and topology-change counts for generic cobordisms to nothing in string theory compactifications.
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.
citing papers explorer
-
The von Neumann algebraic quantum group $\mathrm{SU}_q(1,1)\rtimes \mathbb{Z}_2$ and the DSSYK model
The DSSYK model emerges as the dynamics on the quantum homogeneous space of the von Neumann algebraic quantum group SU_q(1,1) ⋊ Z2.
-
Holographic Tests of the $\mu$ Ensemble
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.
-
Confinement and chiral symmetry breaking in holography: a smooth switch-off
A continuous one-parameter family of holographic geometries interpolates between confining and deconfined phases, with string tension and chiral condensate vanishing smoothly at the black hole endpoint.
-
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.
-
The analytic bootstrap at finite temperature
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
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.
-
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.
-
The Holographic QCD Axion in Five Dimensions
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
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.
-
Large-$N$ Carrollian Thermodynamics from AdS Black-Hole Phase-Space Contractions
Finite Carrollian black-hole thermodynamics arises as a double-scaled low-temperature large-N ensemble in AdS/CFT, with the boundary Brown-York stress tensor reproducing the contracted bulk Hamiltonian and first law.
-
Negative heat capacities in spherically symmetric sectors of $d$-matrix quantum mechanics
In SO(d)- and O(d)-invariant sectors of the U(N) d-matrix harmonic oscillator, microcanonical heat capacity is negative at low energy and turns positive at kcrit ~ N^2/4, producing a caloric fold analogous to AdS black holes.
-
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.
-
Gravitational index, black hole saddle degeneracy, and one-form symmetry
The |G|-fold degeneracy of supersymmetric AdS5 black hole index saddles is fixed by the flux-quantized BF coupling of the bulk one-form symmetry and persists unmodified in the decompactified black-brane limit.
-
Quantum State of a Gravitating Region
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
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.
-
Bordisms between 9d type IIB supergravities and commutator widths of duality groups
Proposes a refinement of the Swampland Cobordism Conjecture for duality groups, arguing that diverging commutator widths necessitate infinitely many duality defects to realize monodromies in 9d supergravity bordisms.
-
Black-hole formation and thermalization in open JT gravity
Numerical simulations show dynamical black hole formation in non-Markovian open JT gravity, corresponding to irreversible thermalization on the boundary.
-
Instanton condensation and a new phase of BPS black holes
Instanton condensation in the matrix model for the BPS index reveals a new instability and dominant phase for small black holes, connected to partial deconfinement.
-
(Iso)spin from Isospin in Top-Down Holography
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.
-
Supersymmetric AdS Solitons, Coulomb Branch Flows and Twisted Compactifications
Constructs holographic supergravity solutions for supersymmetric RG flows from 4D SCFTs to confining 3D SQFTs, with universal factorization of observables.
-
Loops Outside a Black Hole
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.
-
AdS3 axion wormholes as stable contributions to the Euclidean gravitational path integral
The paper shows that Euclidean axion wormholes remain regular and stable in AdS3 for any mouth radius to AdS radius ratio and across topologies, with computable actions that can be included in the 3D gravitational path integral.
-
Morse-Bott inequalities, Topology Change and Cobordisms to Nothing
Morse-Bott inequalities yield homology bounds and topology-change counts for generic cobordisms to nothing in string theory compactifications.
-
Holographic Stirling engines and the route to Carnot efficiency
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.
-
Bubble wall velocity and nucleation rates in inverse holographic phase transitions
In the Witten–Sakai–Sugimoto holographic QCD model, inverse first-order transitions yield Euclidean bounce solutions, nucleation rates, and (for the chiral case) bubble wall velocities under motivated steady-state approximations.
-
As Cold as a Black Hole: Extended Photon Spheres
A necessary and sufficient condition for thermodynamic mimicry of Schwarzschild black holes is satisfied by a one-parameter family of self-similar systems including hillingar black holes, stiffest stars, and frozen stars, derived from photon-sphere control of junction conditions and the TOV equation
-
Quasi-normal modes as probes of black hole reentrant phase transitions
Quasi-normal modes are computed via the shooting method and shown to distinguish reentrant large-small-large phase transitions in nonlinear charged AdS black holes.
-
The Entanglement Wedge Polygon
The entanglement wedge polygon volume is proposed as a holographic probe of multipartite entanglement; in AdS3 it is topologically quantized, and a mixed-state generalization is constructed.
-
Krylov complexity from a simple quantum mechanical model for a radiating black hole
A simplified mini-BMN matrix model for a radiating black hole exhibits early-time chaotic growth of Krylov complexity followed by late-time saturation to a plateau consistent with equilibration.
-
Fortuity and Complexity in a Simple Quark Model
In a toy qubit model of quarks, baryons are fortuitous with exponential counting and super-exponential complexity while mesons are monotone with polynomial counting and power-law complexity.
-
Instability in ${\cal N}=4$ supersymmetric Yang-Mills theory on $S^3$ at finite density
On S^3, curvature can stabilize R-symmetry charge transport of charged N=4 SYM plasma while thermodynamic instability persists, and volume fluctuations never restore thermodynamic stability.
-
Confinement in Holographic Theories at Finite Theta
A 5D bottom-up holographic model with a theta-sourced scalar reproduces the lattice result that the deconfinement temperature drops quadratically with θ/N, and predicts θ-dependence of the transition rate.
-
Holographic pressure and volume for black holes
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.
-
Heavy holographic correlators in defect conformal field theories
Holographic probe-brane calculations produce defect one- and two-point functions of heavy scalars that match OPE and BOE limits.
-
Properties of Stable Massive Quark Stars in Holography
Holographic model of massive deconfined quarks yields a stiff enough equation of state to allow stable 2-solar-mass hybrid stars with quark cores for certain nuclear phases.
-
Finite-temperature Yang-Mills theories with the density of states method: towards the continuum limit
Density-of-states lattice study of the first-order phase transition in Sp(4) Yang-Mills theory at finite temperature, confirming metastability and surface tension for two temporal extents toward the continuum limit.
-
Holographic complexity of the Klebanov-Strassler background
Studies holographic complexity in the Klebanov-Strassler background, reporting common scaling with confinement scale across functionals and more complex UV divergences than in AdS.
-
Tachyonic AdS/QCD, Determining the Strong Running Coupling and \beta-function in both UV and IR Regions of AdS Space
A tachyonic AdS/QCD construction deforms the bulk geometry with a tachyon-dependent dielectric function to produce a unified running coupling from perturbative UV to nonperturbative IR regimes.
-
Low-energy hadronic physics in holographic $\mathrm{QCD_{3}}$ with anisotropy
In an anisotropic holographic model of 3D QCD, hadronic systems become unstable when anisotropy exceeds the confinement energy scale, with dragging terms essential for transport properties.
-
Confinement in a finite duality cascade
Holographic consistency checks confirm confinement (area law), domain-wall dynamics matching YM-CS theory, and absence of stable axionic strings in a D3/O7-conifold gauge/gravity dual.
-
The Junction Law for Multipartite Entanglement in Confining Holographic Backgrounds
The junction law for multipartite entanglement persists in confining holographic backgrounds, but phase structure and GM short-distance scaling (L^{-4}, L^{-2}, or L^{-2}(log L)^2) are background-dependent.
-
Thermodynamics and phase transitions of $\kappa$-deformed Schwarzschild-AdS black holes
κ-deformation of Schwarzschild-AdS induces critical behaviour with P_c v_c/T_c ≃ 0.370, independent of the deformation parameter and near the Van der Waals ratio.
-
Hawking--Page Universality, Thermodynamic Dipoles and Categorical Defects
The signed first moment of winding numbers in a thermodynamic vector field, normalized by Davies scales, produces universal ratios C_S=2 and C_T=2/√3-1 in 4D, checked for multiple AdS black-hole families, with barrier B=1/3.
-
Perturbative study of Supercritical Crossover in Noncommutative-corrected Spacetime
Noncommutative corrections preserve the mean-field universality class of the supercritical crossover and Widom line in charged AdS black holes.
-
Off-shell Thermodynamics and Kinetics of Holographic CFTs Dual to Charged AdS Black Holes
The paper computes phase diagrams and first-passage time distributions for phase transitions in three ensembles of holographic CFTs using off-shell free energy and Fokker-Planck kinetics.
-
High-Energy Pion Scattering in Holographic QCD: A Comparison with Experimental Data
Holographic hard-wall model produces angular distributions for high-energy pion scattering that show qualitative agreement with experimental extractions.
-
Holographic Extended Thermodynamics of deformed AdS-Schwarzschild black hole
Analyzes bulk and boundary phase transitions in deformed AdS-Schwarzschild black holes using gravitational decoupling and holographic extended thermodynamics.
-
Scalar-Electromagnetic Couplings as Source of Deformed Black Hole: From Shadows to Thermodynamic Topology
A scalar-NED coupled black hole metric is reconstructed from an effective geometry, yielding EHT bounds on magnetic charge, Hawking-Page transition, and topological equivalence to the Reissner-Nordström solution.
-
The atomic nucleus as a bound system of $3A$ quarks
Nuclei are 3A-quark systems where Fermi gas explains equal u/d quarks in light nuclei, a modified bag model fits heavier ones, and AdS5 duality predicts the lightest glueball's decay and sets the maximum stable nuclear charge at Z=82 for lead.
-
Topological charges and confined-deconfined phase transition in holography
Introducing an energy scale in AdS space changes the topological class of black holes, corresponding to confined and deconfined phases separated by a Hawking-Page transition at finite critical temperature.