Holographic applications of logarithmic conformal field theories

Abstract

We review the relations between Jordan cells in various branches of physics, ranging from quantum mechanics to massive gravity theories. Our main focus is on holographic correspondences between critically tuned gravity theories in Anti-de Sitter space and logarithmic conformal field theories in various dimensions. We summarize the developments in the past five years, include some novel generalizations and provide an outlook on possible future developments.

36 pp + references, invited review article for J.Phys.A special issue, v2: minor changes, added refs

References in corpus (80)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Visualization of Branch Points in PT-Symmetric Waveguides
• Massive Gravity in Three Dimensions
• Modeling Multiple M2's
• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
• Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
• Three-Dimensional Gravity Revisited
• Warped AdS_3 Black Holes
• The BMS/GCA correspondence
• More on Massive 3D Gravity
• Holography of 3d Flat Cosmological Horizons
• Critical Gravity in Four Dimensions
• Black holes in three dimensional higher spin gravity: A review
• Entropy of three-dimensional asymptotically flat cosmological solutions
• Einstein Gravity from Conformal Gravity
• Non-relativistic conformal symmetries and Newton-Cartan structures
• Topologically Massive Gravity and the AdS/CFT Correspondence
• Flat-Space Chiral Gravity
• Black Hole Entropy in the presence of Chern-Simons Terms
• Ghost-free, finite, fourth order D=3 (alas) gravity
• Associative-algebraic approach to logarithmic conformal field theories
• Critical Points of D-Dimensional Extended Gravities
• Boundary conditions for spacelike and timelike warped AdS_3 spaces in topologically massive gravity
• Born-Infeld extension of new massive gravity
• Note on New Massive Gravity in $Ad{S}_3$
• Holography for Schrodinger backgrounds
• Asymptotically anti-de Sitter spacetimes in topologically massive gravity
• Transport Properties of Holographic Defects
• From Percolation to Logarithmic Conformal Field Theory
• New massive gravity, extended
• On the Generalized Massive Gravity in $Ad{S}_3$
• Graviton 1-loop partition function for 3-dimensional massive gravity
• D-Dimensional Log Gravity
• AdS Waves as Exact Solutions to Quadratic Gravity
• Modes of Log Gravity
• Asymptotically AdS_3 Solutions to Topologically Massive Gravity at Special Values of the Coupling Constants
• Disordered Systems and the Replica Method in AdS/CFT
• Constraints on extremal self-dual CFTs
• On AdS/CFT of Galilean Conformal Field Theories
• Stability of warped AdS3 vacua of topologically massive gravity
• Logarithmic observables in critical percolation
• Interacting String Multi-verses and Holographic Instabilities of Massive Gravity
• A Simple Proof of the Chiral Gravity Conjecture
• Erratum to `Instability in cosmological topologically massive gravity at the chiral point', arXiv:0805.2610
• New Exact Solutions of Quadratic Curvature Gravity
• Ghosts of Critical Gravity
• A modular invariant bulk theory for the c=0 triplet model
• A physical approach to the classification of indecomposable Virasoro representations from the blob algebra
• Boundary stress tensor and counterterms for weakened AdS_3 asymptotic in New Massive Gravity
• Holographic two-point functions for 4d log-gravity
• Non-AdS holography in 3-dimensional higher spin gravity - General recipe and example
• Topologically Massive Gravity and Galilean Conformal Algebra: A Study of Correlation Functions
• Comment on "Cosmological Topological Massive Gravitons and Photons"
• On Maximal Massive 3D Supergravity
• On the Percolation BCFT and the Crossing Probability of Watts
• Three-Dimensional Tricritical Gravity
• W-Extended Fusion Algebra of Critical Percolation
• Explicit characterization of the identity configuration in an Abelian Sandpile Model
• All stationary axi-symmetric local solutions of topologically massive gravity
• Classical Stability of the BTZ Black Hole in Topologically Massive Gravity
• Semi-classical unitarity in 3-dimensional higher-spin gravity for non-principal embeddings
• Generalised massive gravity one-loop partition function and AdS/(L)CFT
• Deeper discussion of Schrödinger invariant and Logarithmic sectors of higher-curvature gravity
• Polycritical Gravities
• Non-Fefferman-Graham asymptotics and holographic renormalization in New Massive Gravity
• Holographic two dimensional QCD and Chern-Simons term
• Nonlinear Dynamics of Parity-Even Tricritical Gravity in Three and Four Dimensions
• Lobachevsky holography in conformal Chern-Simons gravity
• Rank-n logarithmic conformal field theory in the BTZ black hole
• Aging Logarithmic Conformal Field Theory : a holographic view
• Quasinormal modes around the BTZ black hole at the tricritical generalized massive gravity
• Aspects of topologically gauged M2-branes with six supersymmetries: towards a "sequential AdS/CFT"?
• Rank-3 finite temperature logarithmic conformal field theory
• On one-loop partition functions of three-dimensional critical gravities
• Logarithmic modes of critical gravity in de Sitter space-time

Cited by in corpus (40)

• Massive Gravity
• The partial Bondi gauge: Further enlarging the asymptotic structure of gravity
• Hawking's singularity theorem for $C^{1,1}$-metrics
• Chiral Massive News: Null Boundary Symmetries in Topologically Massive Gravity
• Criticality in Einstein-Gauss-Bonnet Gravity: Gravity without Graviton
• Entropy functionals and c-theorems from the second law
• Entanglement Entropy for Logarithmic Conformal Field Theory
• Logarithmic Celestial Conformal Field Theory
• Non-Unitary Holography
• Critical solutions in topologically gauged N=8 CFTs in three dimensions
• How General Is Holography?
• Black holes and thermodynamics - The first half century
• Logarithmic AdS Waves and Zwei-Dreibein Gravity
• Holographic Chern-Simons Theories
• On the combinatorics of partition functions in AdS3/LCFT2
• Canonical charges and asymptotic symmetry algebra of conformal gravity
• Linearization Instability for Generic Gravity in AdS
• Conical spaces, modular invariance and $c_{p,1}$ holography
• New Chiral Gravity
• Integrable hierarchies, Hurwitz numbers and a branch point field in critical topologically massive gravity
• Possible Central Extensions of Non-Relativistic Conformal Algebras in 1+1
• Shannon information entropy, soliton clusters and Bose-Einstein condensation in log gravity
• Quasinormal modes and black hole hairs in AdS
• Coset construction of logarithmic minimal models: branching rules and branching functions
• Moduli space of logarithmic states in critical massive gravities
• Warped Brane worlds in Critical Gravity
• Logarithmic two-Point Correlation Functions from a z = 2 Lifshitz Model
• Aging Logarithmic Galilean Field Theories
• Fragmented perspective of self-organized criticality and disorder in log gravity
• From Hurwitz numbers to Feynman diagrams: counting rooted trees in log gravity
• Cosmological singleton gravity theory and dS/LCFT correspondence
• Urn models, Markov chains and random walks in cosmological topologically massive gravity at the critical point
• Holographic Lifshitz fluids in 1+1 dimensions
• Boundary Conditions for Warped AdS${}_3$ in Quadratic Ensemble
• On palindromic numerators of bigraded symmetric orbifold Hilbert series and Kostka-Foulkes polynomials
• Cosmological three-coupled scalar theory for the dS/LCFT correspondence
• Disorder in AdS${}_3$/CFT${}_2$
• Einstein-singleton theory and its power spectra in de Sitter inflation
• Holographic Conformal Anomaly and a-Theorem in 5D Scalar-Tensor Theories from Heterotic Strings
• Monodromy, Logarithmic Sectors, and Two-Point Functions in Critical Topologically Massive Gravity