On the Stress Tensor of Kerr/CFT
arXiv:0907.5023 · doi:10.1088/1126-6708/2009/10/021
Abstract
The recently-conjectured Kerr/CFT correspondence posits a field theory dual to dynamics in the near-horizon region of an extreme Kerr black hole with certain boundary conditions. We construct a boundary stress tensor for this theory via covariant phase space techniques. The structure of the stress tensor indicates that any dual theory is a discrete light cone quantum theory, in agreement with recent arguments by Balasubramanian et al. The key technical step in our construction is the addition of an appropriate counter-term to the symplectic structure, which is necessary to make the theory fully covariant and to resolve a subtle problem involving the integrability of charges.
19 pages
References in corpus (10)
- Setting the boundary free in AdS/CFT
- Surface charge algebra in gauge theories and thermodynamic integrability
- Black Hole Superradiance From Kerr/CFT
- No Dynamics in the Extremal Kerr Throat
- What is a chiral 2d CFT? And what does it have to do with extremal black holes?
- Kerr-CFT and gravitational perturbations
- Another Realization of Kerr/CFT Correspondence
- Yet Another Realization of Kerr/CFT Correspondence
- Supergravity at the boundary of AdS supergravity
- Reversing Renormalization-Group Flows with AdS/CFT
Cited by in corpus (21)
- Near Extremal Kerr Entropy from AdS_2 Quantum Gravity
- The Kerr/CFT correspondence and its extensions: a comprehensive review
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- Twofold Hidden Conformal Symmetries of the Kerr-Newman Black Hole
- Microscopic Realization of the Kerr/CFT Correspondence
- Extremal Kerr/CFT correspondence of five-dimensional rotating (charged) black holes with squashed horizons
- On Holographic Dual of the Dyonic Reissner-Nordström Black Hole
- Hidden conformal symmetry of rotating charged black holes
- Hidden Conformal Symmetry of the Reissner-Nordstrøm Black Holes
- Isometry-preserving boundary conditions in the Kerr/CFT correspondence
- Wiggling Throat of Extremal Black Holes
- Hidden Conformal Symmetry of Kerr-Bolt Spacetimes
- Microscopics of Extremal Kerr from Spinning M5 Branes
- Holographic Duals of Near-extremal Reissner-Nordstrom Black Holes
- Hidden Conformal Symmetry of Extremal Kerr-Bolt Spacetimes
- Asymptotic symmetries of Schrödinger spacetimes
- Conserved charges, surface degrees of freedom, and black hole entropy
- Near Horizon Extremal Geometry Perturbations: Dynamical Field Perturbations vs. Parametric Variations
- The RN/CFT Correspondence Revisited
- Holographic Q-Picture of Black Holes in Five Dimensional Minimal Supergravity
- Note on Kerr/CFT correspondence in a first order formalism