Disorder in AdS/CFT
arXiv:2204.00596 · doi:10.21468/SciPostPhys.16.1.017
Abstract
We perturbatively study marginally relevant quenched disorder in AdS/CFT to second order in the disorder strength. Using the Chern-Simons formulation of AdS gravity for the Poincaré patch, we introduce disorder via the chemical potentials. We discuss the bulk and boundary properties resulting from the disorder averaged metric. The disorder generates a small mass and angular momentum. In the bulk and the boundary, we find unphysical features due to the disorder average. Motivated by these features, we propose a Poincaré-Lindstedt-inspired resummation method. We discuss how this method enables us to remove all of the unphysical features and compare with other approaches to averaging.
arXiv comment29 pages, v2: citations added, v3/v4: added further discussion and references, v5: added small clarifications, v6: added new section 5 and small clarifications, v7: extended section 5
References in corpus (43)
- Gauge Theory Correlators from Non-Critical String Theory
- The Large N Limit of Superconformal Field Theories and Supergravity
- Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
- Quantum many-body systems out of equilibrium
- Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
- Many-body localization: an introduction and selected topics
- Effective Holographic Theories for low-temperature condensed matter systems
- A Quantum Focussing Conjecture
- Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
- Three-dimensional quantum geometry and black holes
- Instability in cosmological topologically massive gravity at the chiral point
- Proof of the Quantum Null Energy Condition
- Soft Heisenberg hair on black holes in three dimensions
- The thermoelectric properties of inhomogeneous holographic lattices
- Most general AdS_3 boundary conditions
- A General Proof of the Quantum Null Energy Condition
- Absence of disorder-driven metal-insulator transitions in simple holographic models
- Scale-invariant hyperscaling-violating holographic theories and the resistivity of strange metals with random-field disorder
- Disordered horizons: Holography of randomly disordered fixed points
- Holographic applications of logarithmic conformal field theories
- Disordered Systems and the Replica Method in AdS/CFT
- Testing the Generalized Second Law in 1+1 dimensional Conformal Vacua: An Argument for the Causal Horizon
- Incoherent thermal transport from dirty black holes
- Spatial Modulation and Conductivities in Effective Holographic Theories
- On holographic disorder-driven metal-insulator transitions
- A Dirty Holographic Superconductor
- Emergent scale invariance of disordered horizons
- Near horizon dynamics of three dimensional black holes
- Effective holographic theories of momentum relaxation and violation of conductivity bound
- Quantum Null Energy Condition and its (non)saturation in 2d CFTs
- Bootstrapping gravity solutions
- Holographic p-wave Superconductor with Disorder
- Disorder in Large-N Theories
- Cold planar horizons are floppy
- A smeared quantum phase transition in disordered holography
- All stationary axi-symmetric local solutions of topologically massive gravity
- Perturbatively charged holographic disorder
- The Holographic Disorder-Driven Superconductor-Metal Transition
- QNEC2 in deformed holographic CFTs
- Renormalization group in quantum critical theories with Harris-marginal disorder
- Coherence effects in disordered geometries with a field-theory dual
- Breakdown of emergent Lifshitz symmetry in holographic matter with Harris-marginal disorder
- Bulk Matter and the Boundary Quantum Null Energy Condition