A Practical Mini-Course on Applied Holography
arXiv:1908.02667 · doi:10.1007/978-3-030-35184-7
Abstract
This is a collection of notes based on lectures given at IIT Madras in September 2019 and at IFT Madrid in November 2019. It is supposed to be a concise (and therefore not comprehensive) and pragmatic course on applied holography and especially the (basic) analytic and numerical techniques involved. The lectures are not focused on the large theoretical and fundamental background which can be found already in several places in the literature, but rather on concrete applications of Bottom-Up AdS-CFT to Hydrodynamics, QCD and Condensed Matter. The idea is to accompany the reader step by step through the various benchmark examples with a classmate attitude, providing details of the computations and open-source numerical codes in Mathematica, and sharing simple tricks and warnings collected during my research experience. At the end of this path, the reader will be in possess of all the fundamental skills and tools to learn by himself/herself more advanced techniques and to produce independent and novel research on the topic.
arXiv commentPublished as a book for the Series "SpringerBriefs in Physics": https://www.springer.com/gp/book/9783030351830, ISBN 978-3-030-35184-7
References in corpus (59)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- The World as a Hologram
- Black Hole Entropy is Noether Charge
- Quasinormal modes of black holes and black branes
- Building an AdS/CFT superconductor
- The holographic principle
- Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
- Lectures on holographic methods for condensed matter physics
- Lecture Notes on Holographic Renormalization
- Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
- From AdS/CFT correspondence to hydrodynamics
- Transport coefficients in high temperature gauge theories: (II) Beyond leading log
- Holographic duality with a view toward many-body physics
- Viscosity Bound Violation in Higher Derivative Gravity
- Theory of universal incoherent metallic transport
- A simple holographic model of momentum relaxation
- Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
- From AdS/CFT correspondence to hydrodynamics. II. Sound waves
- Hydrodynamics Beyond the Gradient Expansion: Resurgence and Resummation
- SU(N) gauge theories at large N
- Holographic quantum matter
- Strongly Correlated Quantum Fluids: Ultracold Quantum Gases, Quantum Chromodynamic Plasmas, and Holographic Duality
- Locally critical umklapp scattering and holography
- Holographic Polarons, the Metal-Insulator Transition and Massive Gravity
- Boundary Conditions and Dualities: Vector Fields in AdS/CFT
- Landscape of superconducting membranes
- Viscoelastic hydrodynamics and holography
- A formal introduction to Horndeski and Galileon theories and their generalizations
- The complex life of hydrodynamic modes
- Dirty black holes: Entropy as a surface term
- Naturally Speaking: The Naturalness Criterion and Physics at the LHC
- Hydrodynamization in kinetic theory: Transient modes and the gradient expansion
- On the convergence of the gradient expansion in hydrodynamics
- Holography and hydrodynamics with weakly broken symmetries
- Absence of disorder-driven metal-insulator transitions in simple holographic models
- Viscosity bound violation in holographic solids and the viscoelastic response
- Incoherent transport in clean quantum critical metals
- Universal low temperature theory of charged black holes with AdS horizons
- Black hole elasticity and gapped transverse phonons in holography
- Shear viscosity in weakly coupled Super Yang-Mills theory compared to QCD
- Lifshitz holography: The whole shebang
- Introduction to AdS-CFT
- Higher derivative corrections to incoherent metallic transport in holography
- Phonons as Goldstone Bosons
- A Simple Holographic Superconductor with Momentum Relaxation
- Introduction to Gauge/Gravity Duality
- Phases of holographic superconductors with broken translational symmetry
- Electron-Phonon or Hole Superconductivity in ?
- Holography and the Coleman-Mermin-Wagner theorem
- The large proper-time expansion of Yang-Mills plasma as a resurgent transseries
- Incoherent transport for phases that spontaneously break translations
- Holographic Shear Viscosity in Hyperscaling Violating Theories without Translational Invariance
- Holographic description of large N gauge theory
- Maxwell interpolation and close similarities between liquids and holographic models
- Holographic Plasmons
- Scale invariant solids
- Gravity, holography and applications to condensed matter
- Sum rules and three point functions
- A classical approach to the electron g-factor
Cited by in corpus (56)
- Holographic Axion Model: a simple gravitational tool for quantum matter
- Unifying speed limit, thermodynamic uncertainty relation and Heisenberg principle via bulk-boundary correspondence
- Colloquium: Hydrodynamics and holography of charge density wave phases
- Magnetophonons & type-B Goldstones from Hydrodynamics to Holography
- Universal Bounds on Transport in Holographic Systems with Broken Translations
- Effective Field Theory for Quasicrystals and Phasons Dynamics
- A Holographic Superfluid Symphony
- The breakdown of magneto-hydrodynamics near AdS fixed point and energy diffusion bound
- Homogeneous Holographic Viscoelastic Models & Quasicrystals
- Viscoelastic Dynamics in Holography
- Planar Black Holes in Holographic Axion Gravity: Islands, Page Times, and Scrambling Times
- Quasi-normal modes of dyonic black holes and magneto-hydrodynamics
- On the universality of AdS diffusion bounds and the breakdown of linearized hydrodynamics
- Non-linear elasticity, yielding and entropy in amorphous solids
- Homes' law in holographic superconductor with linear- resistivity
- Holographic entanglement density for spontaneous symmetry breaking
- Holographic reconstruction of black hole spacetime: machine learning and entanglement entropy
- Kasner interiors from analytic hairy black holes
- Collective dynamics and the Anderson-Higgs mechanism in a bona fide holographic superconductor
- The Weak Gravity Conjecture Requires the Existence of Exotic AdS Black Holes
- Shear flows in far-from-equilibrium strongly coupled fluids
- Upper bound of the charge diffusion constant in holography
- Magnetotransport and Complexity of Holographic Metal-Insulator Transitions
- Inability of linear axion holographic Gubser-Rocha model to capture all the transport anomalies of strange metals
- Exploring the black hole spectrum of axionic Horndeski theory
- Similarity between the kinematic viscosity of quark-gluon plasma and liquids at the viscosity minimum
- Holographic Supersolids
- Black Rubber and the Non-linear Elastic Response of Scale Invariant Solids
- Dynamical evolution of spinodal decomposition in holographic superfluids
- Phase relaxation and pattern formation in holographic gapless charge density waves
- Dynamical stability from quasi normal modes in 2nd, 1st and 0th order holographic superfluid phase transitions
- Higher-form symmetries, anomalous magnetohydrodynamics, and holography
- On pole-skipping with gauge-invariant variables in holographic axion theories
- Collective modes of polarizable holographic media in magnetic fields
- Holographic phonons by gauge-axion coupling
- Transverse Goldstone mode in holographic fluids with broken translations
- Extremal Bifurcations of Rotating AdS Black Holes
- Why is Black Hole Entropy Affected by Rotation?
- Shift Symmetries and AdS/CFT
- Alternating current conductivity and superconducting properties of the holographic effective theory
- Non-equilibrium dynamics in Holography
- Holographic Dual of The Weak Gravity Conjecture
- Holographic Lifshitz flows
- Deep learning-based holography for T-linear resistivity
- Phase transitions in a holographic superfluid model with non-linear terms beyond the probe limit
- Simple holographic dual of the Maxwell-Cattaneo model & the fate of KMS symmetry for non-hydrodynamic modes
- Transport properties of a holographic model with novel gauge-axion coupling
- Hydrodynamic modes in holographic multiple-axion model
- Dependence of the critical temperature and disorder in holographic superconductors on superfluid density
- Characterising the Most Rapidly Rotating AdS-Kerr Black Holes
- Diagnosing quantum phase transition via holographic entanglement entropy at finite temperature
- Holographic D-brane constructions with dynamical gauge fields
- QFT on Fuzzy AdS Spaces: Classical Limit and Boundary Correlation Functions
- Collective dynamics in holographic fractonic solids
- A Pedagogical Introduction to Holographic Hadrons
- Nonequilibrium steady states in driven holographic Weyl semi-metals