The Holographic Renormalization Group

Abstract

In this lecture, we review the derivation of the holographic renormalization group given in hep-th/9912012. Some extra background material is included, and various applications are discussed.

LaTeX, 21 pages, contribution to the proceedings of the workshop "The Quantum Structure of Spacetime and the Geometric Nature of Fundamental Interactions", Berlin, October 2000

References in corpus (3)

• The Holographic Renormalization Group
• Field theory insight from the AdS/CFT correspondence
• The Cosmological Constant and the Brane World Scenario

Cited by in corpus (110)

• Lecture Notes on Holographic Renormalization
• Holographic and Wilsonian Renormalization Groups
• Thermodynamics of Asymptotically Locally AdS Spacetimes
• AdS${}_2$ holography and the SYK model
• Correlation Functions in Holographic RG Flows
• The Holographic Renormalization Group
• Lifshitz Gravity for Lifshitz Holography
• Dynamical holographic QCD model for glueball and light meson spectra
• Integrating out geometry: Holographic Wilsonian RG and the membrane paradigm
• Thermodynamics of Black Holes in Two (and Higher) Dimensions
• AdS/CFT correspondence and Geometry
• Quantum Information in Holographic Duality
• Conformal Lifshitz Gravity from Holography
• The boundary dual of the bulk symplectic form
• Sphere partition functions and cut-off AdS
• The first law of thermodynamics in Lifshitz black holes revisited
• UV Caps and Modulus Stabilization for 6D Gauged Chiral Supergravity
• Hamilton-Jacobi Renormalization for Lifshitz Spacetime
• Black hole mass and Hamilton-Jacobi counterterms
• Holographic Renormalization Group
• The CFT-interpolating Black Hole in Three Dimensions
• Holographic renormalization for irrelevant operators and multi-trace counterterms
• On the IR Divergences in de Sitter Space: loops, resummation and the semi-classical wavefunction
• N=1 and N=2 pure supergravities on a manifold with boundary
• Black holes in supergravity and integrability
• Page Curves and Bath Deformations
• The Holographic Geometry of the Renormalization Group and Higher Spin Symmetries
• Holographic interpretations of the renormalization group
• Emergent IR dual 2d CFTs in charged AdS5 black holes
• A Practical Approach to the Hamilton-Jacobi Formulation of Holographic Renormalization
• Irrelevant deformations and the holographic Callan-Symanzik equation
• Moduli flow and non-supersymmetric AdS attractors
• The Exact Renormalization Group and Higher-spin Holography
• A Field-theoretical Interpretation of the Holographic Renormalization Group
• Cutoff Dependence and Complexity of the CFT${}_2$ Ground State
• Quasi-local conserved charges and holography
• Flowing Between Fermionic Fixed Points
• Causality and a-theorem Constraints on Ricci Polynomial and Riemann Cubic Gravities
• A New Spin on the Weak Gravity Conjecture
• Temporal Entanglement Entropy as a probe of Renormalization Group Flow
• Universal Structure of Covariant Holographic Two-Point Functions In Massless Higher-Order Gravities
• The Wilson-Polchinski Renormalization Group Equation in the Planar Limit
• Boundary Counterterms and the Thermodynamics of 2-D Black Holes
• From Fake Supergravity to Superstars
• An a-theorem for Horndeski Gravity at the Critical Point
• A Holographic form for Wilson's RG
• On the supersymmetry invariance of flat supergravity with boundary
• Unconventional Supersymmetry at the Boundary of AdS_4 Supergravity
• Wilsonian renormalisation and the exact cut-off scale from holographic duality
• Holographic Studies of The Generic Massless Cubic Gravities
• Holography and Renormalization in Lorentzian Signature
• New Massive Gravity Domain Walls
• Holographic RG flow of thermo-electric transports with momentum dissipation
• Anisotropic Flows into Black Holes
• Interplay Between Approximation Theory and Renormalization Group
• Holographic Wilson's RG
• Into the Bulk: A Covariant Approach
• On $Ad{S}_2$ holography from redux, renormalization group flows and $c$-functions
• An Observational Test of Holographic Inflation
• Higher Spin Fronsdal Equations from the Exact Renormalization Group
• Emergent geometry in recursive renormalization group transformations
• Holographic Trace Anomaly and Local Renormalization Group
• Conifold Holography
• Phase transitions of neutral planar hairy AdS black holes
• Holographic RG flows and boundary conditions in a 3D gauged supergravity
• Exotic RG Flow of Entanglement Entropy
• Holographic RG flows and transport coefficients in Einstein-Gauss-Bonnet-Maxwell theory
• Exact holographic RG flows in extended SUGRA
• Constraining Non-Relativistic RG Flows with Holography
• Increase of the Energy Necessary to Probe Ultraviolet Theories Due to the Presence of a Strong Magnetic Field
• Extracting Hawking Radiation Near the Horizon of AdS Black Holes
• Time-dependent quantum correlations in two-dimensional expanding spacetime
• A New Boundary Counterterm for Asymptotically AdS Spacetimes
• Revisiting AdS/CFT at a finite radial cut-off
• Quantum Gravity and Turbulence
• Effective AdS/renormalized CFT
• Wilson Action for the $O(N)$ Model
• Losing the IR: a Holographic Framework for Area Theorems
• Wheeler-De Witt equation and AdS/CFT correspondence
• Hamilton-Jacobi Approach to Holographic Renormalization of Massive Gravity
• Developing local RG: quantum RG and BFSS
• RG Flow and Thermodynamics of Causal Horizons in Higher-Derivative AdS Gravity
• Holographic RG Flow and Sound Modes of sQGP
• Domain Walls in Extended Lovelock Gravity
• Holographic Wilsonian Renormalization and Chiral Phase Transitions
• Deformations of large N=(4,4) 2D SCFT from 3D gauged supergravity
• Bulk Gauge Fields and Holographic RG from Exact RG
• Transport Coefficients for Holographic Hydrodynamics at Finite Energy Scale
• Metal or Insulator? Dirac operator spectrum in holographic QCD
• Encoded information of mixed correlations: the views from one dimension higher
• Quantum Schwarzschild-(A)dS Black Holes: Unitarity and Singularity Resolution
• On the large N limit, W_\infty Strings, Star products, AdS/CFT Duality, Nonlinear Sigma Models on AdS spaces and Chern-Simons p-branes
• Holographic RG flow triggered by a classically marginal operator
• 2D Black Hole and Holographic Renormalization Group
• Quantum correlation in quark-gluon medium
• Finite Cutoff CFT's and Composite Operators
• Holography, Fractals and the Weyl Anomaly
• $N$-point functions of strongly coupled fluids dual to generalized higher-derivative theories of gravity
• Flat Holography & Holographic Renormalization: Scalar Field
• Quantum wormholes at spatial infinity
• On Effective Actions from Holography
• Finite size effect on quantum correlations
• On the geometric approach to the boundary problem in supergravity
• Entanglement, anomalies and Mathisson's helices
• Pure gauge QCD and holography
• $SO(1,d+1)$ symmetry of the Exact RG equation
• String Theory and Turbulence
• Constructing CFTs from AdS flows
• Metallic and antiferromagnetic fixed points from gravity
• Holographic RG and Exact RG in O(N) Model