Scalar-channel quasinormal modes of the planar AdS5 black brane are captured across all wave numbers by exact WKB quantisation, transseries resummation, and Seiberg–Witten analytic continuation, with resummed large-q predictions matching independent numerics to ten to thirty decimal places.
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The complex life of hydrodynamic modes
10 Pith papers cite this work, alongside 147 external citations. Polarity classification is still indexing.
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abstract
We study analytic properties of the dispersion relations in classical hydrodynamics by treating them as Puiseux series in complex momentum. The radii of convergence of the series are determined by the critical points of the associated complex spectral curves. For theories that admit a dual gravitational description through holography, the critical points correspond to level-crossings in the quasinormal spectrum of the dual black hole. We illustrate these methods in ${\cal N}=4$ supersymmetric Yang-Mills theory in 3+1 dimensions, in a holographic model with broken translation symmetry in 2+1 dimensions, and in conformal field theory in 1+1 dimensions. We comment on the pole-skipping phenomenon in thermal correlation functions, and show that it is not specific to energy density correlations.
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Pole-skipping data encodes enough information to reconstruct the full metric of 3D rotating black holes and the radial functions of 4D separable rotating black holes, with Einstein equations becoming algebraic constraints on that data.
Constructs a derivative expansion for linear response that matches multi-pole correlators while preserving hydrostaticity, then applies it to D3/D5 probe brane charge fluctuations to study quasihydrodynamic transport at large density.
Real-time lattice Hamiltonian simulation of a three-particle Ising field theory suppresses Umklapp processes and produces relativistic hydrodynamics sound modes, extracting ζ/s=14.19±0.90 and c_s/c=0.76±0.02 at T≈7.14.
Kerr QNM anomalies near algebraically special frequencies arise from avoided crossings with resonant excitation and pole skipping due to quasinormal-Matsubara pole-zero cancellations.
Holographic U(1)V x U(1)A Maxwell-Chern-Simons theory in Schwarzschild-AdS5 yields thirteen momentum- and B-field-dependent transport coefficient functions for chiral plasma currents, applied to negative magnetoresistance and chiral magnetic waves beyond hydrodynamics.
Semi-holographic systems with perturbative and holographic sectors exhibit prethermal time crystals through dissipationless modes in hydrodynamic channels plus short-wavelength instabilities that produce inhomogeneities over a wide temperature range.
Spacetime-symmetry-breaking Goldstone EFTs systematically describe bulk and localized excitations of solids, fluids, and superfluids, with new thermodynamic identifications and corrected scattering rates.
Non-conformal deformation via Einstein-dilaton gravity increases the radius of convergence of the derivative expansion for gapped quasinormal modes of a scalar operator in the holographic dual.
Gauss-Bonnet black branes in five-dimensional AdS gravity are unstable when the Gauss-Bonnet coupling falls outside the conformal collider bounds, with unstable modes connected to boundary causality-violating modes by phase rotation of complex boundary momentum.
citing papers explorer
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Analytic approaches to perturbations of strongly coupled Yang-Mills plasma
Scalar-channel quasinormal modes of the planar AdS5 black brane are captured across all wave numbers by exact WKB quantisation, transseries resummation, and Seiberg–Witten analytic continuation, with resummed large-q predictions matching independent numerics to ten to thirty decimal places.
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Probing bulk geometry via pole skipping: from static to rotating spacetimes
Pole-skipping data encodes enough information to reconstruct the full metric of 3D rotating black holes and the radial functions of 4D separable rotating black holes, with Einstein equations becoming algebraic constraints on that data.
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Linear response beyond hydrodynamic poles
Constructs a derivative expansion for linear response that matches multi-pole correlators while preserving hydrostaticity, then applies it to D3/D5 probe brane charge fluctuations to study quasihydrodynamic transport at large density.
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Tame the Umklapp Processes in Real-Time Lattice Simulation for Hydrodynamics: An Ising Field Theory Study
Real-time lattice Hamiltonian simulation of a three-particle Ising field theory suppresses Umklapp processes and produces relativistic hydrodynamics sound modes, extracting ζ/s=14.19±0.90 and c_s/c=0.76±0.02 at T≈7.14.
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Pole Skipping, Avoided Crossing, and Resonant Excitation in Kerr Quasinormal Modes near Algebraically Special Frequencies
Kerr QNM anomalies near algebraically special frequencies arise from avoided crossings with resonant excitation and pole skipping due to quasinormal-Matsubara pole-zero cancellations.
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Chiral Plasma under Strong Magnetic Fields: A Holographic Analysis of Transport Phenomena
Holographic U(1)V x U(1)A Maxwell-Chern-Simons theory in Schwarzschild-AdS5 yields thirteen momentum- and B-field-dependent transport coefficient functions for chiral plasma currents, applied to negative magnetoresistance and chiral magnetic waves beyond hydrodynamics.
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On prethermal time crystals from semi-holography
Semi-holographic systems with perturbative and holographic sectors exhibit prethermal time crystals through dissipationless modes in hydrodynamic channels plus short-wavelength instabilities that produce inhomogeneities over a wide temperature range.
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Effective Field Theories for Material Media
Spacetime-symmetry-breaking Goldstone EFTs systematically describe bulk and localized excitations of solids, fluids, and superfluids, with new thermodynamic identifications and corrected scattering rates.
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Effect of non-conformal deformation on the gapped quasi-normal modes and the holographic implications
Non-conformal deformation via Einstein-dilaton gravity increases the radius of convergence of the derivative expansion for gapped quasinormal modes of a scalar operator in the holographic dual.
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Instability of 5D Gauss-Bonnet black branes
Gauss-Bonnet black branes in five-dimensional AdS gravity are unstable when the Gauss-Bonnet coupling falls outside the conformal collider bounds, with unstable modes connected to boundary causality-violating modes by phase rotation of complex boundary momentum.