Moving the CFT into the bulk with
arXiv:1611.03470
Abstract
Recent work by Zamolodchikov and others has uncovered a solvable irrelevant deformation of general 2D CFTs, defined by turning on the dimension 4 operator , the product of the left- and right-moving stress tensor. We propose that in the holographic dual, this deformation represents a geometric cutoff that removes the asymptotic region of AdS and places the QFT on a Dirichlet wall at finite radial distance in the bulk. As a quantitative check of the proposed duality, we compute the signal propagation speed, energy spectrum, and thermodynamic relations on both sides. In all cases, we obtain a precise match. We derive an exact RG flow equation for the metric dependence of the effective action of the deformed theory, and find that it coincides with the Hamilton-Jacobi equation that governs the radial evolution of the classical gravity action in AdS.
v2: clarifications added, typos fixed v1: 34 pages, 2 figures
References in corpus (5)
Cited by in corpus (48)
- The deformation of quantum field theory as random geometry
- An integrable Lorentz-breaking deformation of two-dimensional CFTs
- The perturbation and its geometric interpretation
- Entanglement entropy and deformation
- deformed partition functions
- Holographic Renyi Entropy from Quantum Error Correction
- Towards a 2d QFT Analog of the SYK Model
- in AdS and Quantum Mechanics
- Entanglement Entropy in -Deformed CFT
- Entanglement Beyond
- Quantum Information in Holographic Duality
- Entanglement Entropy for deformed CFT in general dimensions
- Correlation functions of the CFTs on torus with deformation
- Holography from the Wheeler-DeWitt equation
- Integrability and Renormalization under
- Complexity and Behind the Horizon Cut Off
- Wilson loop in a like deformed
- Holographic Entanglement Entropy in Cutoff AdS
- Gravitational path integral from the deformation
- , the entanglement wedge cross section, and the breakdown of the split property
- Geometrizing
- Aspects of Hyperscaling Violating Geometries at Finite Cutoff
- Finite-cutoff JT gravity and self-avoiding loops
- Cutoff versus in the large central charge sector: correlators of energy-momentum tensor
- Conformal Boundary Conditions from Cutoff AdS
- Airy Function and 4d Quantum Gravity
- Fix the dual geometries of deformed CFT and highly excited states of CFT
- deformations of non-Lorentz invariant field theories
- -deformation and Liouville gravity
- Note on the nonrelativistic deformation
- Complexity of Hyperscaling Violating Theories at Finite Cutoff
- Comments on holographic entanglements in cutoff AdS
- deformation of random matrices
- Comments on , and String Theory
- Deformations of JT Gravity via Topological Gravity and Applications
- Exotic RG Flow of Entanglement Entropy
- Time Evolution of Entanglement Entropy in Holographic FLRW Cosmologies
- Time-dependent quantum correlations in two-dimensional expanding spacetime
- Gravitational perturbations as -deformations in 2D dilaton gravity systems
- deformation of correlation functions
- Note on higher-point correlation functions of the or deformed CFTs
- On some (integrable) structures in low-dimensional holography
- Puzzles and pitfalls involving Haar-typicality in holography
- Comments on single trace and other current-current deformations
- Thermalization and Hydrodynamics of Two-Dimensional Quantum Field Theories
- , Black Holes and Negative Strings
- deformation of Calogero-Sutherland model via dimensional reduction
- Exact summation of leading logs around deformation of -symmetric 2D QFTs