Holographic Duality with a View Toward Many‐Body Physics

2009/09/03 by John McGreevy · 1 voice · 27 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Criticality #Duality (order theory) #Holographic principle #Holography #Nuclear physics #Particle physics #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Series (stratigraphy) #String (physics) #String theory #Supersymmetry #Theoretical physics #cond-mat.str-el #hep-th

paper · pdf · doi:10.1155/2010/723105

published as Adv.High Energy Phys.2010:723105,2010 · 64 pages, many figures; v2: references, clarifications; v3: minor corrections

arxiv published 2009/09/03 · openalex publication_date 2010/01/01 · arxiv created 2010/05/08 · arxiv updated 2010/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

These are notes based on a series of lectures given at the KITP workshop Quantum Criticality and the AdS/CFT Correspondence in July, 2009. The goal of the lectures was to introduce condensed matter physicists to the AdS/CFT correspondence. Discussion of string theory and of supersymmetry is avoided to the extent possible.

Citations

• Building a Holographic Superconductor
• Lectures on 2D gravity and 2D string theory (TASI 1992)
• Gravity Duals for Nonrelativistic Conformal Field Theories
• AdS and dS Entropy from String Junctions
• Limits on massless particles
• Infinite conformal symmetry in two-dimensional quantum field theory
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Supersymmetric Gauge Theories and the AdS/CFT Correspondence
• Gravity dual of a quantum Hall plateau transition
• Thermodynamics of black holes in anti-de Sitter space
• Quasinormal spectrum and the black hole membrane paradigm
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Viscosity, Black Holes, and Quantum Field Theory
• Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence
• Holographic probes of anti–de Sitter spacetimes
• Towards the LargeNLimit of PureN<mml:mspace/>=<mml:mspace/>1Super Yang-Mills Theory
• The Holographic Bound in Anti-de Sitter Space
• Lecture Notes on Holographic Renormalization
• The Large-N Limit of Superconformal Field Theories and Supergravity
• Gauge symmetry and supersymmetry of multiple M2-branes
• 𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• AdS/CFT correspondence and Geometry
• Flux compactification
• The large N limit of superconformal field theories and supergravity
• Metallic AdS/CFT
• Fractional quantum Hall effect via holography: Chern-Simons, edge states and hierarchy
• Real-Time Gauge/Gravity Duality
• Viscosity bound violation in higher derivative gravity
• Viscosity Bound and Causality Violation
• Nearly perfect fluidity: from cold atomic gases to hot quark gluon plasmas
• Breaking an Abelian gauge symmetry near a black hole horizon

Cited by

• Lindblad dynamics in holography
• Holographic DC conductivity for backreacted NLED in massive gravity
• Simulation of asymptoticallyAdS5spacetimes with a generalized harmonic evolution scheme
• Simulating analogue holography in flexible Dirac metals
• TASI Lectures on AdS/CFT
• Holographic duality and the resistivity of strange metals
• Holography at Work for Nuclear and Hadron Physics
• Conductivity of a strange metal: from holography to memory functions
• Non-thermal fixed point in a holographic superfluid
• Studying the holographic Fermi surface in the scalar induced anisotropic background
• Emergent IR dual 2d CFTs in chargedAdS5black holes
• Two-Dimensional Non-Fermi-Liquid Metals: A Solvable Large-N Limit
• Strange metal crossover in the doped holographic superconductor
• Self-assembling tensor networks and holography in disordered spin chains
• Thermoelectric DC conductivities with momentum dissipation from higher derivative gravity
• Conceptual Aspects of Gauge/Gravity Duality
• Holographic models for undoped Weyl semimetals
• Random-fractalAnsatzfor the configurations of two-dimensional critical systems
• Magnetothermoelectric DC conductivities from holography models with hyperscaling factor in Lifshitz spacetime
• Massive quasinormal mode in the holographic Lifshitz theory
• Holography of charged dilaton black holes
• Zeroth order phase transition in a holographic superconductor with single impurity
• Conductivity bounds in probe brane models
• Complete phase diagrams for a holographic superconductor/insulator system
• Conserved chiral currents on the boundary of 3D Maxwell theory
• Schrödinger Fermi liquids
• Van der Waals like behavior of topological AdS black holes in massive gravity

Discussions

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• Lectures on holographic methods for condensed matter physics
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