BTZ Black Hole Entropy and the Turaev-Viro model
arXiv:1312.1696 · doi:10.1007/s00023-014-0331-7
Abstract
We show the explicit agreement between the derivation of the Bekenstein-Hawking entropy of a Euclidean BTZ black hole from the point of view of spin foam models and canonical quantization. This is done by considering a graph observable (corresponding to the black hole horizon) in the Turaev-Viro state sum model, and then analytically continuing the resulting partition function to negative values of the cosmological constant.
arXiv comment22+4 pages, 3 figures
References in corpus (42)
- The Black Hole in Three Dimensional Space Time
- Geometry of the 2+1 Black Hole
- Black hole entropy in Loop Quantum Gravity
- Black Hole Entropy from Loop Quantum Gravity
- Logarithmic Corrections to Black Hole Entropy from the Cardy Formula
- Black Hole Entropy from Conformal Field Theory in Any Dimension
- Entropy from Conformal Field Theory at Killing Horizons
- Ponzano-Regge model revisited III: Feynman diagrams and Effective field theory
- Aspects of Black Hole Quantum Mechanics and Thermodynamics in 2+1 Dimensions
- What We Don't Know about BTZ Black Hole Entropy
- Ponzano-Regge model revisited I: Gauge fixing, observables and interacting spinning particles
- Black hole entropy and SU(2) Chern-Simons theory
- Logarithmic correction to the Bekenstein-Hawking entropy of the BTZ black hole
- Black hole entropy from an SU(2)-invariant formulation of Type I isolated horizons
- Quantum Black Hole Entropy
- The Ponzano-Regge model
- Black hole state counting in Loop Quantum Gravity: A number theoretical approach
- 3-dimensional Gravity from the Turaev-Viro Invariant
- Spin Foams and Canonical Quantization
- The SU(2) Black Hole entropy revisited
- Black Hole Entropy from complex Ashtekar variables
- Spin Networks for Non-Compact Groups
- Ponzano-Regge model revisited II: Equivalence with Chern-Simons
- Observables in the Turaev-Viro and Crane-Yetter models
- Observables in Loop Quantum Gravity with a cosmological constant
- Effective Conformal Descriptions of Black Hole Entropy
- On two approaches to 3-dimensional TQFTs
- Statistical Entropy of a BTZ Black Hole from Loop Quantum Gravity
- Turaev-Viro amplitudes from 2+1 Loop Quantum Gravity
- Black hole entropy from loop quantum gravity in higher dimensions
- Quantum hyperbolic geometry in loop quantum gravity with cosmological constant
- Deformed Spinor Networks for Loop Gravity: Towards Hyperbolic Twisted Geometries
- Testing the role of the Barbero-Immirzi parameter and the choice of connection in Loop Quantum Gravity
- Effective Conformal Descriptions of Black Hole Entropy: A Review
- Deformed phase space for 3d loop gravity and hyperbolic discrete geometries
- Topological lattice field theories from intertwiner dynamics
- BTZ Black Hole Entropy: A spin foam model description
- 6J Symbols Duality Relations
- BTZ Black Hole Entropy from Ponzano-Regge Gravity
- Polynomial 6j-Symbols and States Sums
- On SL(2, C) quantum 6j-symbol and its relation to the hyperbolic volume
- BTZ Black Hole Entropy in Loop Quantum Gravity and in Spin Foam Models
Cited by in corpus (7)
- Black Holes in Loop Quantum Gravity
- Black Hole Entropy from complex Ashtekar variables
- Quasi-local holographic dualities in non-perturbative 3d quantum gravity I - Convergence of multiple approaches and examples of Ponzano-Regge statistical duals
- 3D holography: from discretum to continuum
- Towards self dual Loop Quantum Gravity
- Spinfoam tunneling of quantum geometries in angle variables
- The massive BMS character in 3D quantum gravity