On the symmetry of deformed CFT
arXiv:1910.09390 · doi:10.1016/j.nuclphysb.2020.115205
Abstract
We propose a symmetry of deformed 2D CFT, which preserves the trace relation. The deformed conformal killing equation is obtained. Once we consider the background metric runs with the deformation parameter , the deformation contributes an additional term in conformal killing equation, which plays the role of renormalization group flow of metric. The conformal symmetry coincides with the fixed point. On the gravity side, this deformed conformal killing equation can be described by a new boundary condition of AdS. In addition, based on the deformed conformal killing equation, we derive that the stress tensor of the deformed CFT equals to Brown-York's quasilocal stress tensor on a finite boundary with a counterterm. For a specific example, BTZ black hole, we get deformed conformal killing vectors and the associated conserved charges are also studied.
arXiv comment27 pages, revised version to appear in Nuclear Physics B
References in corpus (28)
- The Black Hole in Three Dimensional Space Time
- A Stress Tensor for Anti-de Sitter Gravity
- The Holographic Weyl anomaly
- Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
- Geometry of the 2+1 Black Hole
- Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
- The Kerr/CFT Correspondence
- On space of integrable quantum field theories
- -deformed 2D Quantum Field Theories
- Temperature, Energy, and Heat Capacity of Asymptotically Anti-De Sitter Black Holes
- Three-dimensional quantum geometry and black holes
- Quantum effective action from the AdS/CFT correspondence
- The deformation of quantum field theory as random geometry
- What We Don't Know about BTZ Black Hole Entropy
- Global Charges in Chern-Simons theory and the 2+1 black hole
- New Boundary Conditions for AdS3
- -deformations in closed form
- deformed partition functions
- Boundary dynamics and the statistical mechanics of the 2+1 dimensional black hole
- Entanglement Entropy in -Deformed CFT
- The TT* deformation at large central charge
- Expectation value of composite field in two-dimensional quantum field theory
- Entanglement and Rényi Entropy of Multiple Intervals in -Deformed CFT and Holography
- TT deformations in general dimensions
- Comments on Holographic Entanglement Entropy in TT Deformed CFTs
- Path Integral Optimization for Deformation
- Background independent holographic dual to deformed CFT with large central charge in 2 dimensions
- Surface/State correspondence and deformation