Gravity duals for logarithmic conformal field theories

Abstract

Logarithmic conformal field theories with vanishing central charge describe systems with quenched disorder, percolation or dilute self-avoiding polymers. In these theories the energy momentum tensor acquires a logarithmic partner. In this talk we address the construction of possible gravity duals for these logarithmic conformal field theories and present two viable candidates for such duals, namely theories of massive gravity in three dimensions at a chiral point.

15 pages, 1 figure, invited plenary talk at the First Mediterranean Conference on Classical and Quantum Gravity, v2: published version, corrected typo in left eq. (5)

References in corpus (30)

• Massive Gravity in Three Dimensions
• Warped AdS_3 Black Holes
• More on Massive 3D Gravity
• Topologically Massive Gravity and the AdS/CFT Correspondence
• Semi-classical central charge in topologically massive gravity
• Boundary conditions for spacelike and timelike warped AdS_3 spaces in topologically massive gravity
• Note on New Massive Gravity in $Ad{S}_3$
• Asymptotically anti-de Sitter spacetimes in topologically massive gravity
• Transport Properties of Holographic Defects
• Geometric description of BTZ black holes thermodynamics
• Asymptotically AdS_3 Solutions to Topologically Massive Gravity at Special Values of the Coupling Constants
• Disordered Systems and the Replica Method in AdS/CFT
• Canonical structure of topologically massive gravity with a cosmological constant
• The CFT-interpolating Black Hole in Three Dimensions
• Asymptotic structure of topologically massive gravity in spacelike stretched AdS sector
• Stability of warped AdS3 vacua of topologically massive gravity
• Interacting String Multi-verses and Holographic Instabilities of Massive Gravity
• Background-independent charges in Topologically Massive Gravity
• The Role of Angular Momentum and Cosmic Censorship in the (2+1)-Dimensional Rotating Shell Collapse
• On Non-handlebody Instantons in 3D Gravity
• AdS_3 Partition Functions Reconstructed
• Hawking radiation from covariant anomalies in 2+1 dimensional black holes
• Logarithmic conformal field theory approach to topologically massive gravity
• Absorption Cross Section in Warped AdS${}_3$ Black Hole
• Chiral Supergravity
• Witten-Nester Energy in Topologically Massive Gravity
• Chiral Topologically Massive Gravity and Extremal B-F Scalars
• Left-Right Asymmetric Holographic RG Flow with Gravitational Chern-Simons Term
• Chiral geometries of (2+1)-d AdS gravity
• Non-existence of Asymptotically Flat Geons in 2+1 Gravity

Cited by in corpus (13)

• Holographic applications of logarithmic conformal field theories
• Conformal Chern-Simons holography - lock, stock and barrel
• Ghosts of Critical Gravity
• 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
• Higgsing M2 to D2 with gravity: N=6 chiral supergravity from topologically gauged ABJM theory
• Short-cut to new anomalies in gravity duals to logarithmic conformal field theories
• Counterterms, critical gravity and holography
• Deeper discussion of Schrödinger invariant and Logarithmic sectors of higher-curvature gravity
• From Maxwell-Chern-Simons theory in $Ad{S}_3$ towards hydrodynamics in 1+1 dimensions
• Quasinormal modes and black hole hairs in AdS
• Monodromy, Logarithmic Sectors, and Two-Point Functions in Critical Topologically Massive Gravity