Chiral anomalies and AdS/CMT in two dimensions

Abstract

I clarify some recent confusion regarding the holographic description of finite-density systems in two dimensions. Notably, the chiral anomaly for symmetry currents in 2d conformal field theories (CFT) completely determines their correlators. The important exception is a CFT with a gauge theory to which we may couple an external current, as in the probe D3/D3 system or the putative dual to the charged BTZ black hole. These systems are analyzed with an eye for potential condensed matter applications.

1+25 pages

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Cited by in corpus (65)

• Chaos in AdS${}_2$ holography
• Virasoro Conformal Blocks and Thermality from Classical Background Fields
• Thermodynamics, gravitational anomalies and cones
• Two-dimensional SCFTs from wrapped branes and c-extremization
• The Weak Gravity Conjecture in three dimensions
• A theory of reparameterizations for AdS${}_3$ gravity
• Adiabatic hydrodynamics: The eightfold way to dissipation
• Holographic Thermalization with Chemical Potential
• Universal far-from-equilibrium Dynamics of a Holographic Superconductor
• 5D Rotating Black Holes and the nAdS${}_2$/nCFT${}_1$ Correspondence
• Holographic representation of bulk fields with spin in AdS/CFT
• Chiral conductivities and effective field theory
• Effective actions for anomalous hydrodynamics
• CFT representation of interacting bulk gauge fields in AdS
• Thermodynamics with Pressure and Volume under Charged Particle Absorption
• Hyperscaling-Violation on Probe D-Branes
• Cosmic Censorship of Rotating Anti-de Sitter Black Hole
• A Holographic Model of the Kondo Effect
• AdS/CFT beyond the unitarity bound
• Competition between the s-wave and p-wave superconductivity phases in a holographic model
• Aspects of Holographic Entanglement at Finite Temperature and Chemical Potential
• Weak Cosmic Censorship with Pressure and Volume in Charged Anti-de Sitter Black Hole under Charged Scalar Field
• Spread of entanglement for small subsystems in holographic CFTs
• Strong Subadditivity, Null Energy Condition and Charged Black Holes
• Boundary Conditions and Unitarity: the Maxwell-Chern-Simons System in AdS_3/CFT_2
• SL(2,Z) Action on AdS/BCFT and Hall Conductivities
• Three-dimensional asymptotically flat Einstein-Maxwell theory
• Differential Cohomotopy implies intersecting brane observables via configuration spaces and chord diagrams
• Two-point Functions in a Holographic Kondo Model
• Rotating BTZ Black Holes and One Dimensional Holographic Superconductors
• Moduli Spaces of Cold Holographic Matter
• On Holographic Entanglement Entropy with Second Order Excitations
• Asymptotic structure of the Einstein-Maxwell theory on AdS${}_3$
• From Maxwell-Chern-Simons theory in $Ad{S}_3$ towards hydrodynamics in 1+1 dimensions
• M5-brane Defect and QHE in AdS_4 x N(1,1)/N=3 SCFT
• One dimensional s-wave holographic superconductor with supercurrent
• 1+1-dimensional p-wave superconductors from intersecting D-branes
• Non-Equilibrium Field Dynamics of an Honest Holographic Superconductor
• Charged BTZ-like black hole solutions and the diffusivity-butterfly velocity relation
• Entanglement Thermodynamics of the Generalized Charged BTZ Black Hole
• Holographic two dimensional QCD and Chern-Simons term
• Finiteness of 3D higher spin gravity Landscape
• Flavour Fields in Steady State: Stress Tensor and Free Energy
• Holographic entanglement entropy of a $1+1$ dimensional $p$-wave superconductor
• Holographic subregion complexity of a 1+1 dimensional $p$-wave superconductor
• Violation of the Holographic Principle in the Loop Quantum Gravity
• Holographic Chern-Simons Defects
• Thermodynamics in Rotating Anti-de Sitter Black Holes with Massive Scalar Field in Three Dimensions
• Blandford-Znajek process in vacuo and its holographic dual
• Chern-Simons interactions in AdS${}_3$ and the current conformal block
• Non-equilibrium dynamics in Holography
• Kibble-Zurek Scaling in a Holographic p-wave Superconductor
• Fake gaps in AdS_3/CFT_2
• The Abrikosov Vortex in Curved Space
• Sparseness bounds on local operators in holographic $CF{T}_d$
• Fermions in an AdS3 Black Hole Background and the Gauge-Gravity Duality
• Reconstructing bulk equation of motion using CFT modular Hamiltonians
• Properties of gapped systems in AdS/BCFT
• Interplay between interaction and chiral anomaly in the holographic approach
• Sharp disentanglement in holographic charged local quench
• Universal thermalization dynamics in (1+1)d QFTs
• Landscape of Narain CFTs
• Dressing bulk spinor fields in AdS${}_3$
• Anomaly matching condition in two-dimensional systems
• Hydrodynamics in 1+1 dimensions from Maxwell-Chern-Simons theory in AdS_3