Aspects of univalence in holographic axion models
arXiv:2205.06076 · doi:10.1007/JHEP11(2022)032
Abstract
Univalent functions are complex, analytic (holomorphic) and injective functions that have been widely discussed in complex analysis. It was recently proposed that the stringent constraints that univalence imposes on the growth of functions combined with sufficient analyticity conditions could be used to derive rigorous lower and upper bounds on hydrodynamic dispersion relation, i.e., on all terms appearing in their convergent series representations. The results are exact bounds on physical quantities such as the diffusivity and the speed of sound. The purpose of this paper is to further explore these ideas, investigate them in concrete holographic examples, and work towards a better intuitive understanding of the role of univalence in physics. More concretely, we study diffusive and sound modes in a family of holographic axion models and offer a set of observations, arguments and tests that support the applicability of univalence methods for bounding physical observables described in terms of effective field theories. Our work provides insight into expected `typical' regions of univalence, comparisons between the tightness of bounds and the corresponding exact values of certain quantities characterizing transport, tests of relations between diffusion and bounds that involve chaotic pole-skipping, as well as tests of a condition that implies the conformal bound on the speed of sound and a complementary condition that implies its violation.
arXiv commentv2: minor revision, matching the published version
References in corpus (84)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- A bound on chaos
- Evidence for quark-matter cores in massive neutron stars
- Quasinormal modes and holography
- Theory of universal incoherent metallic transport
- Lectures on hydrodynamic fluctuations in relativistic theories
- A simple holographic model of momentum relaxation
- Hydrodynamics of electrons in graphene
- Sound velocity bound and neutron stars
- Fracton hydrodynamics
- Universal Charge Diffusion and the Butterfly Effect
- Effective field theory for hydrodynamics: thermodynamics, and the derivative expansion
- Momentum relaxation in holographic massive gravity
- Momentum dissipation and effective theories of coherent and incoherent transport
- Holographic Polarons, the Metal-Insulator Transition and Massive Gravity
- Hydro+: hydrodynamics with parametric slowing down and fluctuations near the critical point
- Generalized global symmetries and dissipative magnetohydrodynamics
- A quantum hydrodynamical description for scrambling and many-body chaos
- Black hole scrambling from hydrodynamics
- Planckian dissipation, minimal viscosity and the transport in cuprate strange metals
- Many-body chaos and energy dynamics in holography
- The stickiness of sound: An absolute lower limit on viscosity and the breakdown of second order relativistic hydrodynamics
- Viscoelastic hydrodynamics and holography
- Weak Quantum Chaos
- Viscosity and dissipative hydrodynamics from effective field theory
- The complex life of hydrodynamic modes
- On the convergence of the gradient expansion in hydrodynamics
- Holography and hydrodynamics with weakly broken symmetries
- Holographic Phonons
- Absence of disorder-driven metal-insulator transitions in simple holographic models
- Gapped momentum states
- Solid Holography and Massive Gravity
- A bound on the speed of sound from holography
- Constructing higher-order hydrodynamics: The third order
- An upper bound on transport
- Minimal quantum viscosity from fundamental physical constants
- Dissipative hydrodynamics in superspace
- On the connection between hydrodynamics and quantum chaos in holographic theories with stringy corrections
- Holographic Responses of Fermion Matter
- Holographic Axion Model: a simple gravitational tool for quantum matter
- Cool baryon and quark matter in holographic QCD
- Charge diffusion and the butterfly effect in striped holographic matter
- Generalised global symmetries in states with dynamical defects: the case of the transverse sound in field theory and holography
- Breaking the sound barrier in AdS/CFT
- Complexified quasinormal modes and the pole-skipping in a holographic system at finite chemical potential
- Short-lived modes from hydrodynamic dispersion relations
- Superfluids as Higher-form Anomalies
- Phases of planar AdS black holes with axionic charge
- Linearized fluid/gravity correspondence: from shear viscosity to all order hydrodynamics
- Holography and the speed of sound at high temperatures
- Bounds on transport from univalence and pole-skipping
- Quasinormal modes in charged fluids at complex momentum
- Inhomogeneity simplified
- Hydrodynamic fluctuations and the minimum shear viscosity of the dilute Fermi gas at unitarity
- Incoherent thermal transport from dirty black holes
- Deformations, relaxation and broken symmetries in liquids, solids and glasses: a unified topological field theory
- Zoology of Solid & Fluid Holography : Goldstone Modes and Phase Relaxation
- Speed of sound from fundamental physical constants
- Stiff phases in strongly coupled gauge theories with holographic duals
- Bound of diffusion constants from pole-skipping points: spontaneous symmetry breaking and magnetic field
- Magnetophonons & type-B Goldstones from Hydrodynamics to Holography
- Hydrodynamics for charge density waves and their holographic duals
- Quantum field theory and the Bieberbach conjecture
- Hydrodynamic gradient expansion in linear response theory
- Universal lower bounds on energy and momentum diffusion in liquids
- Constraints on quasinormal modes and bounds for critical points from pole-skipping
- Universal Bounds on Transport in Holographic Systems with Broken Translations
- Hydrodynamic tails and a fluctuation bound on the bulk viscosity
- Fluctuation bounds on charge and heat diffusion
- All Order Linearized Hydrodynamics from Fluid/Gravity Correspondence
- Convergence of hydrodynamic modes: insights from kinetic theory and holography
- Longitudinal Sound and Diffusion in Holographic Massive Gravity
- Hydrodynamic diffusion and its breakdown near AdS quantum critical points
- Conformal solids and holography
- On the universality of AdS diffusion bounds and the breakdown of linearized hydrodynamics
- On the Hydrodynamic Description of Holographic Viscoelastic Models
- Universal Formula for the Holographic Speed of Sound
- How small hydrodynamics can go
- Hydrodynamics of broken global symmetries in the bulk
- Hydrodynamic dispersion relations at finite coupling
- Universal Behaviors of Speed of Sound from Holography
- Hydrodynamic Gradient Expansion Diverges beyond Bjorken Flow
- Characteristic momentum of Hydro+ and a bound on the speed of sound near the QCD critical point
- Anomalous diffusion and Noether's second theorem
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- Deep learning bulk spacetime from boundary optical conductivity
- Holographic reconstruction of black hole spacetime: machine learning and entanglement entropy
- Kasner interiors from analytic hairy black holes
- On pole-skipping with gauge-invariant variables in holographic axion theories
- Deep learning-based holography for T-linear resistivity
- The Algebraic Structure Underlying Pole-Skipping Points
- Phase transitions in a holographic superfluid model with non-linear terms beyond the probe limit
- Bulk Spacetime Encoding via Boundary Ambiguities
- Hydrodynamic modes in holographic multiple-axion model